DOI QR코드

DOI QR Code

On the dynamics of hockey stick after contacting with the ball

  • Yue Jia (Physical Education Institute, Institutes of Hulunbuir)
  • Received : 2021.06.21
  • Accepted : 2023.04.18
  • Published : 2023.04.25

Abstract

Hockey games attracts many fans around the world. This game requires a specific type of ball and a stick for controlling the motion and trace of the ball. This control of motion involves hitting the ball which is a direct intensive dynamic loading. The impact load transferred directly to the hand of the player and in the professional player may cause long term medical problems. Therefore, dynamic motion of the stick should be understood. In the current study, we analyze the dynamic motion of a hockey stick under impact loading from a hockey ball. In doing so, the stick geometry is simplified as a beam structure and quasi-2D relations of displacement is applied along with classical linear elasticity theory for isotropic materials. The governing equations and natural boundary condition are extracted using Hamilton's principle. The final equations in terms of displacement components are solved using Galerkin's numerical method. The results are presented using indentation and contact force values for variations of different parameters.

Keywords

References

  1. Adamian, A., Safari, K.H., Sheikholeslami, M., Habibi, M., Al-Furjan, M. and Chen, G. (2020), "Critical temperature and frequency characteristics of GPLs-reinforced composite doubly curved panel", Appl. Sci., 10(9), 3251. https://doi.org/10.3390/app10093251 
  2. Akgoz, B. and Civalek, O. (2011), "Strain gradient elasticity and modified couple stress models for buckling analysis of axially loaded micro-scaled beams", Int. J. Eng. Sci., 49(11), 1268-1280. https://doi.org/10.1016/j.ijengsci.2010.12.009 
  3. Al-Furjan, M., Alzahrani, B., Shan, L., Habibi, M. and Jung, D.W. (2020a), "Nonlinear forced vibrations of nanocomposite-reinforced viscoelastic thick annular system under hygrothermal environment", Mech. Based Des. Struct. Mach., 50(11), 4021-4047. https://doi.org/10.1080/15397734.2020.1824795 
  4. Al-Furjan, M., Bolandi, S.Y., Shan, L., Habibi, M. and Jung, D.w. (2020b), "On the vibrations of a high-speed rotating multi-hybrid nanocomposite reinforced cantilevered microdisk", Mech. Based Des. Struct. Mach., 50(12), 4157-4185. https://doi.org/10.1080/15397734.2020.1828098 
  5. Al-Furjan, M., Dehini, R., Khorami, M., Habibi, M. and won Jung, D. (2020c), "On the dynamics of the ultra-fast rotating cantilever orthotropic piezoelectric nanodisk based on nonlocal strain gradient theory", Compos. Struct., 255, 112990. https://doi.org/10.1016/j.compstruct.2020.112990 
  6. Al-Furjan, M., Fereidouni, M., Habibi, M., Abd Ali, R., Ni, J. and Safarpour, M. (2020d), "Influence of in-plane loading on the vibrations of the fully symmetric mechanical systems via dynamic simulation and generalized differential quadrature framework", Eng. Comput., 38, 3675-3697. https://doi.org/10.1007/s00366-020-01177-7 
  7. Al-Furjan, M., Fereidouni, M., Sedghiyan, D., Habibi, M. and won Jung, D. (2020e), "Three-dimensional frequency response of the CNT-Carbon-Fiber reinforced laminated circular/annular plates under initially stresses", Compos. Struct., 257, 113146. https://doi.org/10.1016/j.compstruct.2020.113146 
  8. Al-Furjan, M., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020f), "Chaotic oscillation of a multi-scale hybrid nano-composites reinforced disk under harmonic excitation via GDQM", Compos. Struct., 252, 112737. https://doi.org/10.1016/j.compstruct.2020.112737 
  9. Al-Furjan, M., Habibi, M., Chen, G., Safarpour, H., Safarpour, M. and Tounsi, A. (2020g), "Chaotic simulation of the multi-phase reinforced thermo-elastic disk using GDQM", Eng. Comput., 38, 219-242. https://doi.org/10.1007/s00366-020-01144-2 
  10. Al-Furjan, M., Habibi, M., Ebrahimi, F., Chen, G., Safarpour, M. and Safarpour, H. (2020h), "A coupled thermomechanics approach for frequency information of electrically composite microshell using heat-transfer continuum problem", Eur. Phys. J. Plus, 135(10), 1-45. https://doi.org/10.1140/epjp/s13360-020-00764-3 
  11. Al-Furjan, M., Habibi, M., Ebrahimi, F., Mohammadi, K. and Safarpour, H. (2020i), "Wave dispersion characteristics of high-speed-rotating laminated nanocomposite cylindrical shells based on four continuum mechanics theories", Waves Random Complex Media, 32(4), 1599-1625. https://doi.org/10.1080/17455030.2020.1831099 
  12. Al-Furjan, M., Habibi, M., Ni, J., won Jung, D. and Tounsi, A. (2020j), "Frequency simulation of viscoelastic multi-phase reinforced fully symmetric systems", Eng. Comput., 38, 3725-3741. https://doi.org/10.1007/s00366-020-01200-x 
  13. Al-Furjan, M., Habibi, M. and Safarpour, H. (2020k), "Vibration control of a smart shell reinforced by graphene nanoplatelets", Int. J. Appl. Mech., 12(06), 2050066. https://doi.org/10.1142/S1758825120500660 
  14. Al-Furjan, M., Habibi, M., Shan, L. and Tounsi, A. (2020l), "On the vibrations of the imperfect sandwich higher-order disk with a lactic core using generalize differential quadrature method", Compos. Struct., 257, 113150. https://doi.org/10.1016/j.compstruct.2020.113150 
  15. Al-Furjan, M., Habibi, M., won Jung, D., Chen, G., Safarpour, M. and Safarpour, H. (2020m), "Chaotic responses and nonlinear dynamics of the graphene nanoplatelets reinforced doubly-curved panel", Eur. J. Mech.-A/Solids, 85, 104091. https://doi.org/10.1016/j.euromechsol.2020.104091 
  16. Al-Furjan, M., Habibi, M., won Jung, D., Sadeghi, S., Safarpour, H., Tounsi, A. and Chen, G. (2020n), "A computational framework for propagated waves in a sandwich doubly curved nanocomposite panel", Eng. Comput., 38, 1679-1696. https://doi.org/10.1007/s00366-020-01130-8 
  17. Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020o), "Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory", Compos. Struct., 257, 113152. https://doi.org/10.1016/j.compstruct.2020.113152 
  18. Al-Furjan, M., Habibi, M., won Jung, D., Safarpour, H. and Safarpour, M. (2020p), "On the buckling of the polymer-CNT-fiber nanocomposite annular system under thermo-mechanical loads", Mech. Based Des. Struct. Mach., 50(12), 4208-4228. https://doi.org/10.1080/15397734.2020.1830106 
  19. Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020q), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Semi-numerical and finite element modeling", Thin-Wall. Struct., 159, 107242. https://doi.org/10.1016/j.tws.2020.107242 
  20. Al-Furjan, M., Mohammadgholiha, M., Alarifi, I.M., Habibi, M. and Safarpour, H. (2020r), "On the phase velocity simulation of the multi curved viscoelastic system via an exact solution framework", Eng. Comput., 38, 353-369. https://doi.org/10.1007/s00366-020-01152-2 
  21. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020s), "Frequency and critical angular velocity characteristics of rotary laminated cantilever microdisk via two-dimensional analysis", Thin-Wall. Struct., 157, 107111. https://doi.org/10.1016/j.tws.2020.107111 
  22. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020t), "Wave propagation simulation in an electrically open shell reinforced with multi-phase nanocomposites", Eng. Comput., 38, 629-645. https://doi.org/10.1007/s00366-020-01167-9 
  23. Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H., Jung, D.W. and Tounsi, A. (2020u), "On the wave propagation of the multi-scale hybrid nanocomposite doubly curved viscoelastic panel", Compos. Struct., 255, 112947. https://doi.org/10.1016/j.compstruct.2020.112947 
  24. Al-Furjan, M., Safarpour, H., Habibi, M., Safarpour, M. and Tounsi, A. (2020v), "A comprehensive computational approach for nonlinear thermal instability of the electrically FG-GPLRC disk based on GDQ method", Eng. Comput., 38, 801-818. https://doi.org/10.1007/s00366-020-01088-7 
  25. Al-Furjan, M.S.H., Habibi, M., Ebrahimi, F., Chen, G., Safarpour, M. and Safarpour, H. (2020w), "A coupled thermomechanics approach for frequency information of electrically composite microshell using heat-transfer continuum problem", Eur. Phys. J. Plus, 135(10), 837. https://doi.org/10.1140/epjp/s13360-020-00764-3 
  26. Al-Furjan, M., Bolandi, S.Y., Habibi, M., Ebrahimi, F., Chen, G. and Safarpour, H. (2021a), "Enhancing vibration performance of a spinning smart nanocomposite reinforced microstructure conveying fluid flow", Eng. Comput., 38, 4097-4112. https://doi.org/10.1007/s00366-020-01255-w 
  27. Al-Furjan, M.S.H., Dehini, R., Paknahad, M., Habibi, M. and Safarpour, H. (2021b), "On the nonlinear dynamics of the multiscale hybrid nanocomposite-reinforced annular plate under hygro-thermal environment", Arch. Civil Mech. Eng., 21(1), 4. https://doi.org/10.1007/s43452-020-00151-w 
  28. Alipour, M., Torabi, M.A., Sareban, M., Lashini, H., Sadeghi, E., Fazaeli, A., Habibi, M. and Hashemi, R. (2020), "Finite element and experimental method for analyzing the effects of martensite morphologies on the formability of DP steels", Mech. Based Des. Struct. Mach., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343 
  29. Arabnejad Khanouki, M., Ramli Sulong, N. and Shariati, M. (2010), "Investigation of seismic behaviour of composite structures with concrete filled square steel tubular (CFSST) column by push-over and time-history analyses", Proceedings of the 4th International Conference on Steel & Composite Structures, pp. 21-23. 
  30. Bai, Y., Alzahrani, B., Baharom, S. and Habibi, M. (2020), "Semi-numerical simulation for vibrational responses of the viscoelastic imperfect annular system with honeycomb core under residual pressure", Eng. Comput., 38, 3699-3724. https://doi.org/10.1007/s00366-020-01191-9 
  31. Barretta, R., Fabbrocino, F., Luciano, R., de Sciarra, F.M. and Ruta, G. (2020), "Buckling loads of nano-beams in stress-driven nonlocal elasticity", Mech. Adv. Mater. Struct., 27(11), 869-875. https://doi.org/10.1080/15376494.2018.1501523 
  32. Boulefrakh, L., Hebali, H., Chikh, A., Bousahla, A.A., Tounsi, A. and Mahmoud, S. (2019), "The effect of parameters of visco-Pasternak foundation on the bending and vibration properties of a thick FG plate", Geomech. Eng., Int. J., 18(2), 161-178. https://doi.org/10.12989/gae.2019.18.2.161 
  33. Chen, F., Chen, J., Duan, R., Habibi, M. and Khadimallah, M.A. (2022), "Investigation on dynamic stability and aeroelastic characteristics of composite curved pipes with any yawed angle", Compos. Struct., 284, 115195. https://doi.org/10.1016/j.compstruct.2022.115195 
  34. Cheng, S., Liu, J., Li, Z., Zhang, P., Chen, J. and Yang, H. (2023), "3D error calibration of spatial spots based on dual position-sensitive detectors", Appl. Optics, 62(4), 933-943. https://doi.org/10.1364/AO.479307 
  35. Cheshmeh, E., Karbon, M., Eyvazian, A., Jung, D.w., Habibi, M. and Safarpour, M. (2020), "Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory", Mech. Based Des. Struct. Mach., 50(4), 1137-1160. https://doi.org/10.1080/15397734.2020.1744005 
  36. Chiementin, X., Kouroussis, G., Murer, S. and Serra, R. (2019), Experimental Modal Analysis of Hand-Arm Vibration in Golf: Influence of Grip Strength.
  37. Cross, R. (1999), "Impact of a ball with a bat or racket", Am. J. Phys., 67(8), 692-702. https://doi.org/10.1119/1.19354 
  38. Cross, R. (2002), "Grip-slip behavior of a bouncing ball", Am. J. Phys., 70(11), 1093-1102. https://doi.org/10.1119/1.1507792 
  39. Cross, R. (2014), "Impact of sports balls with striking implements", Sports Eng., 17(1), 3-22. https://doi.org/10.1007/s12283-013-0132-0 
  40. Cross, R. and Lindsey, C. (2018), "The slap shot in ice hockey", The Physics Teacher, 56(1), 7-9.  https://doi.org/10.1119/1.5018677
  41. Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021a), "Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell", Adv. Nano Res., Int. J., 10(2), 175-189. https://doi.org/10.12989/anr.2021.10.2.175 
  42. Dai, Z., Zhang, L., Bolandi, S.Y. and Habibi, M. (2021b), "On the vibrations of the non-polynomial viscoelastic composite open-type shell under residual stresses", Compos. Struct., 263, 113599. https://doi.org/10.1016/j.compstruct.2021.113599 
  43. Dai, Z., Wu, S., Habibi, M. and Ali, H.E. (2023), "Application of point interpolation mesh-free method for magneto/electro rheological vibrations of sandwich conical panels", Aerosp. Sci. Technol., 135, 108180. https://doi.org/10.1016/j.ast.2023.108180 
  44. Davoodnabi, S.M., Mirhosseini, S.M. and Shariati, M. (2021), "Analyzing shear strength of steel-concrete composite beam with angle connectors at elevated temperature using finite element method", Steel Compos. Struct., Int. J., 40(6), 853-868. https://doi.org/10.12989/scs.2021.40.6.853 
  45. Dong, Y., Gao, Y., Zhu, Q., Moradi, Z. and Safa, M. (2022), "TEGDQE implementation to investigate the vibration of FG composite conical shells considering a frequency controller solid ring", Eng. Anal. Bound. Elem., 138, 95-107. https://doi.org/10.1016/j.enganabound.2022.01.017 
  46. Ebrahimi, F. and Barati, M.R. (2017), "Buckling analysis of nonlocal third-order shear deformable functionally graded piezoelectric nanobeams embedded in elastic medium", J. Brazil. Soc. Mech. Sci. Eng., 39(3), 937-952. https://doi.org/10.1007/s40430-016-0551-5 
  47. Ebrahimi, F., Habibi, M. and Safarpour, H. (2019a), "On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell", Eng. Comput., 35(4), 1375-1389. https://doi.org/10.1007/s00366-018-0669-4 
  48. Ebrahimi, F., Hajilak, Z.E., Habibi, M. and Safarpour, H. (2019b), "Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323 
  49. Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2019c), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Waves Random Complex Media, 31(6), 1655-1681. https://doi.org/10.1080/17455030.2019.1694729 
  50. Ebrahimi, F., Hashemabadi, D., Habibi, M. and Safarpour, H. (2020a), "Thermal buckling and forced vibration characteristics of a porous GNP reinforced nanocomposite cylindrical shell", Microsyst. Technol., 26(2), 461-473. https://doi.org/10.1007/s00542-019-04542-9 
  51. Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020b), "Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer", Eur. Phys. J. Plus, 135(2), 144. https://doi.org/10.1140/epjp/s13360-020-00217-x 
  52. Esmailpoor Hajilak, Z., Pourghader, J., Hashemabadi, D., Sharifi Bagh, F., Habibi, M. and Safarpour, H. (2019), "Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory", Mech. Based Des. Struct. Mach., 47(5), 521-545. https://doi.org/10.1080/15397734.2019.1566743 
  53. Fan, L., Huang, Y., Ji, D., Moradi, Z., Safa, M. and Amine Khadimallah, M. (2022a), "Interaction of angular velocity and temperature rise in the thermo-inertia bifurcation buckling of FG laminated nanocomposite annular plates", Eng. Struct., 265, 114518. https://doi.org/10.1016/j.engstruct.2022.114518 
  54. Fan, L., Kong, D., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022b), "Optimization dynamic responses of laminated multiphase shell in thermo-electro-mechanical conditions", Adv. Nano. Res., Int. J., 13(1), 29-45. https://doi.org/10.12989/anr.2022.13.1.029 
  55. Fang, Z., Zhu, Z., Wu, P. and Moradi, Z. (2023), "Vibration and damping analysis of sandwich electrorheological fluid deep arches with bi-directional FGM containers", Eng. Struct., 276, 115325. https://doi.org/10.1016/j.engstruct.2022.115325 
  56. Fazaeli, A., Habibi, M. and Ekrami, A.A. (2016), "Experimental and finite element comparison of mechanical properties and formability of dual phase steel and ferrite - pearlite steel with the same chemical composition", Metallurg. Eng., 19(2), 84-93. http://dx.doi.org/10.22076/me.2017.41458.1064 
  57. Ganapathi, M., Merzouki, T. and Polit, O. (2018), "Vibration study of curved nanobeams based on nonlocal higher-order shear deformation theory using finite element approach", Compos. Struct., 184, 821-838. https://doi.org/10.1016/j.compstruct.2017.10.066 
  58. Ghazanfari, A., Soleimani, S.S., Keshavarzzadeh, M., Habibi, M., Assempuor, A. and Hashemi, R. (2020), "Prediction of FLD for sheet metal by considering through-thickness shear stresses", Mech. Based Des. Struct. Mach., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310 
  59. Guo, J., Baharvand, A., Tazeddinova, D., Habibi, M., Safarpour, H., Roco-Videla, A. and Selmi, A. (2021a), "An intelligent computer method for vibration responses of the spinning multilayer symmetric nanosystem using multi-physics modeling", Eng. Comput., 38, 4217-4238. https://doi.org/10.1007/s00366-021-01433-4 
  60. Guo, Y., Mi, H. and Habibi, M. (2021b), "Electromechanical energy absorption, resonance frequency, and low-velocity impact analysis of the piezoelectric doubly curved system", Mech. Syst. Signal Process., 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723 
  61. Haake, S. (2004), "Sports Engineering Past and Present", Appl. Mech. Mater., 1-2, 3-10. https://doi.org/10.4028/www.scientific.net/AMM.1-2.3 
  62. Habibi, M., Hashemi, R., Sadeghi, E., Fazaeli, A., Ghazanfari, A. and Lashini, H. (2016), "Enhancing the mechanical properties and formability of low carbon steel with dual-phase microstructures", J. Mater. Eng. Perform., 25(2), 382-389. https://doi.org/10.1007/s11665-016-1882-1 
  63. Habibi, M., Ghazanfari, A., Assempour, A., Naghdabadi, R. and Hashemi, R. (2017), "Determination of forming limit diagram using two modified finite element models", Mech. Eng., 48(4), 141-144. https://doi.org/10.22060/MEJ.2016.664 
  64. Habibi, M., Hashemi, R., Ghazanfari, A., Naghdabadi, R. and Assempour, A. (2018a), "Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending", Proceedings of the Institution of Mechanical Engineers, Part L: J. Mater.: Des. Applicat., 232(8), 625-636. https://doi.org/10.1177/1464420716642258 
  65. Habibi, M., Hashemi, R., Tafti, M.F. and Assempour, A. (2018b), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manuf. Process., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009 
  66. Habibi, M., Hashemabadi, D. and Safarpour, H. (2019a), "Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator", Eur. Phys. J. Plus, 134(6), 307. https://doi.org/10.1140/epjp/i2019-12742-7 
  67. Habibi, M., Mohammadgholiha, M. and Safarpour, H. (2019b), "Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell", J. Brazil. Soc. Mech. Sci. Eng., 41(5), 221. https://doi.org/10.1007/s40430-019-1715-x 
  68. Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2019c), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Based Des. Struct. Mach., 49(6), 811-840. https://doi.org/10.1080/15397734.2019.1701490 
  69. Habibi, M., Mohammadi, A., Safarpour, H., Shavalipour, A. and Ghadiri, M. (2019d), "Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator", Mech. Based Des. Struct. Mach., 49(5), 640-658. https://doi.org/10.1080/15397734.2019.1697932 
  70. Habibi, M., Taghdir, A. and Safarpour, H. (2019e), "Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets", Compos. Part B: Eng., 175, 107125. https://doi.org/10.1016/j.compositesb.2019.107125 
  71. Habibi, M., Safarpour, M. and Safarpour, H. (2020), "Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods", Mech. Based Des. Struct. Mach., 50(7), 2471-2492. https://doi.org/10.1080/15397734.2020.1779086 
  72. Habibi, M., Darabi, R., Sa, J.C.D. and Reis, A. (2021), "An innovation in finite element simulation via crystal plasticity assessment of grain morphology effect on sheet metal formability", Proceedings of the Institution of Mechanical Engineers, Part L: J. Mater.: Des. Applicat., 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686 
  73. Hashemi, H.R., Alizadeh, A.A., Oyarhossein, M.A., Shavalipour, A., Makkiabadi, M. and Habibi, M. (2019), "Influence of imperfection on amplitude and resonance frequency of a reinforcement compositionally graded nanostructure", Waves Random Complex Media, 31(6), 1340-1366. https://doi.org/10.1080/17455030.2019.1662968 
  74. He, X., Ding, J., Habibi, M., Safarpour, H. and Safarpour, M. (2021), "Non-polynomial framework for bending responses of the multi-scale hybrid laminated nanocomposite reinforced circular/annular plate", Thin-Wall. Struct., 166, 108019. https://doi.org/10.1016/j.tws.2021.108019 
  75. Hennig, E.M. (2007), "Influence of racket properties on injuries and performance in tennis", Exercise Sport Sci. Reviews, 35(2), 62-66. https://doi.org/10.1249/JES.0b013e31803ec43e 
  76. Hong, H., Han, L., Liao, Y., Hu, C. and Chang, L. (2019), "Nonlinear Dynamic Model of Basic Tennis Actions", J. Vib. Eng. Technol., 7(5), 497-505. https://doi.org/10.1007/s42417-019-00147-8 
  77. Hosseini, S.A. and Toghroli, A. (2021), "Effect of mixing Nano-silica and Perlite with pervious concrete for nitrate removal from the contaminated water", Adv. Concrete Constr., Int. J., 11(6), 531-544. https://doi.org/10.12989/acc.2021.11.6.531 
  78. Hosur Shivaramaiah, N.K., Kattimani, S., Shariati, M. and Nguyen-Thoi, T. (2022), "Geometrically nonlinear behavior of two-directional functionally graded porous plates with four different materials", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 236(22), 11008-11023. https://doi.org/10.1177/09544062221111038 
  79. Hou, F., Wu, S., Moradi, Z. and Shafiei, N. (2021), "The computational modeling for the static analysis of axially functionally graded micro-cylindrical imperfect beam applying the computer simulation", Eng. Comput., 38, 3217-3235. https://doi.org/10.1007/s00366-021-01456-x 
  80. Hu, P., Moradi, Z., Ali, H.E. and Foong, L.K. (2022), "Metaheuristic-reinforced neural network for predicting the compressive strength of concrete", Smart Struct. Syst., Int. J., 30(2), 195-207. https://doi.org/10.12989/sss.2022.30.2.195 
  81. Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021a), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. Comput., 38, 4163-4179. https://doi.org/10.1007/s00366-021-01399-3 
  82. Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021b), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 38, 3137-3149. https://doi.org/10.1007/s00366-021-01320-y 
  83. Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2022), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform micro-tube", Eng. Comput., 38(Suppl 3), 2481-2498. https://doi.org/10.1007/s00366-021-01395-7 
  84. Ismail, M., Shariati, M., Abdul Awal, A.S.M., Chiong, C.E., Sadeghipour Chahnasir, E., Porbar, A., Heydari, A. and khorami, M. (2018), "Strengthening of bolted shear joints in industrialized ferrocement construction", Steel Compos. Struct., Int. J., 28(6), 681-690. https://doi.org/10.12989/scs.2018.28.6.681 
  85. Jahandari, S., Tao, Z., Saberian, M., Shariati, M., Li, J., Abolhasani, M., Kazemi, M., Rahmani, A. and Rashidi, M. (2022), "Geotechnical properties of lime-geogrid improved clayey subgrade under various moisture conditions", Road Mater. Pavem. Des., 23(9), 2057-2075. https://doi.org/10.1080/14680629.2021.1950816 
  86. Jiao, J., Ghoreishi, S.-M., Moradi, Z. and Oslub, K. (2021), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., 38, 2499-2513. https://doi.org/10.1007/s00366-021-01391-x 
  87. Jin, H.-Y. and Wang, Z.-A. (2019), "Global stabilization of the full attraction-repulsion Keller-Segel system", arXiv preprint arXiv:1905.05990. https://doi.org/10.3934/dcds.2020027 
  88. Jin, X., Moradi, Z. and Rashidi, R. (2023), "Optimal Operation of Distributed Generations in Four-Wire Unbalanced Distribution Systems considering Different Models of Loads", Int. Transact. on Electr. Energy Syst., 2023. https://doi.org/10.1155/2023/8763116 
  89. Kays, B. and Smith, L. (2015), "Numerical Simulation of the Ice Hockey Slap Shot", Procedia Eng., 112, 22-27. https://doi.org/10.1016/j.proeng.2015.07.170 
  90. Khanouki, M.M.A., Ramli Sulong, N.H., Shariati, M. and Tahir, M.M. (2016), "Investigation of through beam connection to concrete filled circular steel tube (CFCST) column", J. Constr. Steel Res., 121, 144-162. https://doi.org/10.1016/j.jcsr.2016.01.002 
  91. Khorami, M., Alvansazyazdi, M., Shariati, M., Zandi, Y., Jalali, A. and Tahir, M. (2017), "Seismic performance evaluation of buckling restrained braced frames (BRBF) using incremental nonlinear dynamic analysis method (IDA)", Earthq. Struct., Int. J., 13(6), 531-538. https://doi.org/10.12989/eas.2017.13.6.531 
  92. Kiani, Y. (2017), "Analysis of FG-CNT reinforced composite conical panel subjected to moving load using Ritz method", Thin-Wall. Struct., 119, 47-57. https://doi.org/10.1016/j.tws.2017.05.031 
  93. Kong, F., Dong, F., Duan, M., Habibi, M., Safarpour, H. and Tounsi, A. (2022), "On the vibrations of the Electrorheological sandwich disk with composite face sheets considering pre and post-yield regions", Thin-Wall. Struct., 179, 109631. https://doi.org/10.1016/j.tws.2022.109631 
  94. Li, Y. (2021), "Simplified Beam Element Model of Badminton Batting Process Based on Motion Differential Equation", Complexity, 2021, 2071282. https://doi.org/10.1155/2021/2071282 
  95. Li, J., Tang, F. and Habibi, M. (2020a), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. Comput., 38, 1559-1580. https://doi.org/10.1007/s00366-020-01110-y 
  96. Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020b), "On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach", Eng. Comput., 38, 703-724. https://doi.org/10.1007/s00366-020-01166-w 
  97. Liu, Z., Su, S., Xi, D. and Habibi, M. (2020a), "Vibrational responses of a MHC viscoelastic thick annular plate in thermal environment using GDQ method", Mech. Based Des. Struct. Mach., 50(8), 2688-2713. https://doi.org/10.1080/15397734.2020.1784201 
  98. Liu, Z., Wu, X., Yu, M. and Habibi, M. (2020b), "Large-amplitude dynamical behavior of multilayer graphene platelets reinforced nanocomposite annular plate under thermo-mechanical loadings", Mech. Based Des. Struct. Mach., 50(11), 3722-3746. https://doi.org/10.1080/15397734.2020.1815544 
  99. Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021a), "Amplitude motion and frequency simulation of a composite viscoelastic microsystem within modified couple stress elasticity", Eng. Comput., 38, 3977-3991. https://doi.org/10.1007/s00366-021-01316-8 
  100. Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M. and Issakhov, A. (2021b), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 38, 4181-4196. https://doi.org/10.1007/s00366-021-01419-2 
  101. Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021c), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. Comput., 38, 3631-3653. https://doi.org/10.1007/s00366-021-01454-z 
  102. Liu, M., Gu, Q., Yang, B., Yin, Z., Liu, S., Yin, L. and Zheng, W. (2023), "Kinematics model optimization algorithm for six degrees of freedom parallel platform", Appl. Sci., 13(5), 3082. https://doi.org/10.3390/app13053082 
  103. Lori, E.S., Ebrahimi, F., Supeni, E.E.B., Habibi, M. and Safarpour, H. (2020), "The critical voltage of a GPL-reinforced composite microdisk covered with piezoelectric layer", Eng. Comput., 37(4), 3489-3508. https://doi.org/10.1007/s00366-020-01004-z 
  104. Lu, S., Ban, Y., Zhang, X., Yang, B., Liu, S., Yin, L. and Zheng, W. (2022), "Adaptive control of time delay teleoperation system with uncertain dynamics", Front. Neurorobot., 16, 928863-928863. https://doi.org/10.3389/fnbot.2022.928863 
  105. Luo, J., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022a), "Effect of simultaneous compressive and inertia loads on the bifurcation stability of shear deformable functionally graded annular fabrications reinforced with graphenes", Eur. J. Mech.-A/Solids, 94, 104581. https://doi.org/10.1016/j.euromechsol.2022.104581 
  106. Luo, J., Wu, S., Hou, S., Moradi, Z., Habibi, M. and Khadimallah, M.A. (2022b), "Thermally nonlinear thermoelasticity of a one-dimensional finite domain based on the finite strain concept", Eur. J. Mech. - A/Solids, 96, 104726. https://doi.org/10.1016/j.euromechsol.2022.104726 
  107. Ma, B., Wan, M., Zhang, H., Gong, X. and Wu, X. (2018), "Evaluation of the forming limit curve of medium steel plate based on non-constant through-thickness normal stress", J. Manuf. Process., 33, 175-183. https://doi.org/10.1016/j.jmapro.2018.05.012 
  108. Ma, L., Liu, X. and Moradi, Z. (2021), "On the chaotic behavior of graphene-reinforced annular systems under harmonic excitation", Eng. Comput., 38, 2583-2607. https://doi.org/10.1007/s00366-020-01210-9 
  109. Malekzadeh, P. and Dehbozorgi, M. (2016), "Low velocity impact analysis of functionally graded carbon nanotubes reinforced composite skew plates", Compos. Struct., 140, 728-748. https://doi.org/10.1016/j.compstruct.2016.01.045 
  110. Manin, L., Poggi, M. and Havard, N. (2012), "Vibrations of table tennis racket composite wood blades: modeling and experiments", Procedia Eng., 34, 694-699. https://doi.org/10.1016/j.proeng.2012.04.118 
  111. Menasria, A., Kaci, A., Bousahla, A.A., Bourada, F., Tounsi, A., Benrahou, K.H., Tounsi, A., Adda Bedia, E. and Mahmoud, S. (2020), "A four-unknown refined plate theory for dynamic analysis of FG-sandwich plates under various boundary conditions", Steel Compos. Struct., Int. J., 36(3), 355-367. https://doi.org/10.12989/scs.2020.36.3.355 
  112. Michael, M., Meyyazhagan, A., Velayudhannair, K., Pappuswamy, M., Maria, A., Xavier, V., Balasubramanian, B., Baskaran, R., Kamyab, H. and Vasseghian, Y. (2022), "The Content of Heavy Metals in Cigarettes and the Impact of Their Leachates on the Aquatic Ecosystem", Sustainability, 14(8), 4752. https://doi.org/10.3390/su14084752 
  113. Milovancevic, M., Marinovic, J.S., Nikolic, J., Kitic, A., Shariati, M., Trung, N.T., Wakil, K. and Khorami, M. (2019), "UML diagrams for dynamical monitoring of rail vehicles", Physica A: Statist. Mech. Applicat., 531, 121169. https://doi.org/10.1016/j.physa.2019.121169 
  114. Moayedi, H., Habibi, M., Safarpour, H., Safarpour, M. and Foong, L. (2019), "Buckling and frequency responses of a graphene nanoplatelet reinforced composite microdisk", Int. J. Appl. Mech., 11(10), 1950102. https://doi.org/10.1142/S1758825119501023 
  115. Moayedi, H., Aliakbarlou, H., Jebeli, M., Noormohammadiarani, O., Habibi, M., Safarpour, H. and Foong, L. (2020a), "Thermal buckling responses of a graphene reinforced composite micropanel structure", Int. J. Appl. Mech., 12(01), 2050010. https://doi.org/10.1142/S1758825120500106 
  116. Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020b), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. Comput., 37, 3359-3374. https://doi.org/10.1007/s00366-020-01002-1 
  117. Mohammad-Rezaei Bidgoli, E. and Arefi, M. (2019), "Free vibration analysis of micro plate reinforced with functionally graded graphene nanoplatelets based on modified strain-gradient formulation", J. Sandw. Struct. Mater., 23(2), 436-472. https://doi.org/10.1177/1099636219839302 
  118. Mohammadgholiha, M., Shokrgozar, A., Habibi, M. and Safarpour, H. (2019), "Buckling and frequency analysis of the nonlocal strain-stress gradient shell reinforced with graphene nanoplatelets", J. Vib. Control, 25(19-20), 2627-2640. https://doi.org/10.1177/1077546319863251 
  119. Mohammadi, A., Lashini, H., Habibi, M. and Safarpour, H. (2019), "Influence of viscoelastic foundation on dynamic behaviour of the double walled cylindrical inhomogeneous micro shell using MCST and with the aid of GDQM", J. Solid Mech., 11(2), 440-453. https://doi.org/10.22034/JSM.2019.665264 
  120. Moradi, Z., Davoudi, M., Ebrahimi, F. and Ehyaei, A.F. (2021), "Intelligent wave dispersion control of an inhomogeneous micro-shell using a proportional-derivative smart controller", Waves Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1926572 
  121. Moradi, Z., Ebrahimi, F. and Davoudi, M. (2022), "Coupled Newmark beta technique and GDQ method for energy harvesting and vibration control of the piezoelectric MEMS/NEMS subjected to a blast load", Eng. Anal. Bound. Elem., 144, 492-506. https://doi.org/10.1016/j.enganabound.2022.08.021 
  122. Naghipour, M., Niak, K.M., Shariati, M. and Toghroli, A. (2020a), "Effect of progressive shear punch of a foundation on a reinforced concrete building behavior", Steel Compos. Struct., Int. J., 35(2), 279-294. https://doi.org/10.12989/scs.2020.35.2.279 
  123. Naghipour, M., Yousofizinsaz, G. and Shariati, M. (2020b), "Experimental study on axial compressive behavior of welded built-up CFT stub columns made by cold-formed sections with different welding lines", Steel Compos. Struct., Int. J., 34(3), 347-359. https://doi.org/10.12989/scs.2020.34.3.347 
  124. Najaafi, N., Jamali, M., Habibi, M., Sadeghi, S., Jung, D.W. and Nabipour, N. (2020), "Dynamic instability responses of the substructure living biological cells in the cytoplasm environment using stress-strain size-dependent theory", J. Biomol. Struct. Dyn., 39(7), 2543-2554. https://doi.org/10.1080/07391102.2020.1751297 
  125. Naveen Kumar, H., Kattimani, S., Marques, F.D., Nguyen-Thoi, T. and Shariati, M. (2022), "Geometrically Nonlinear Study of Functionally Graded Saturated Porous Plates Based on Refined Shear Deformation Plate Theory and Biot's Theory", Int. J. Struct. Stabil. Dyn., 23(02), 2350013. https://doi.org/10.1142/S021945542350013X 
  126. Noor, A.K. (1973), "Free vibrations of multilayered composite plates", AIAA J., 11(7), 1038-1039. https://doi.org/10.2514/3.6868 
  127. Nouri, K., Sulong, N., Ibrahim, Z. and Shariati, M. (2021), "Behaviour of novel stiffened angle shear connectors at ambient and elevated temperatures", Adv. Steel Constr., 17(1), 28-38. https://doi.org/10.18057/IJASC.2021.17.1.4 
  128. Oyarhossein, M.A., Alizadeh, A.A., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Scientific Reports, 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w 
  129. Park, S. and Gao, X. (2006), "Bernoulli-Euler beam model based on a modified couple stress theory", J. Micromech. Microeng., 16(11), 2355. https://doi.org/10.1088/0960-1317/16/11/015 
  130. Peng, S., Habibi, M. and Pourjabari, A. (2023), "Generalized differential quadrature element solution, swarm, and GA optimization technique to obtain the optimum frequency of the laminated rotary nanostructure", Eng. Anal. Bound. Elem., 151, 101-114. https://doi.org/10.1016/j.enganabound.2023.02.052 
  131. Pourjabari, A., Hajilak, Z.E., Mohammadi, A., Habibi, M. and Safarpour, H. (2019), "Effect of porosity on free and forced vibration characteristics of the GPL reinforcement composite nanostructures", Comput. Mathe. Applicat., 77(10), 2608-2626. https://doi.org/10.1016/j.camwa.2018.12.041 
  132. Qin, X., Liu, Z., Liu, Y., Liu, S., Yang, B., Yin, L., Liu, M. and Zheng, W. (2022), "User OCEAN personality model construction method using a BP neural network", Electronics, 11(19), 3022. https://doi.org/10.3390/electronics11193022 
  133. Razavian, L., Naghipour, M., Shariati, M. and Safa, M. (2020), "Experimental study of the behavior of composite timber columns confined with hollow rectangular steel sections under compression", Struct. Eng. Mech., Int. J., 74(1), 145-156. https://doi.org/10.12989/sem.2020.74.1.145 
  134. Remond, T., Dolique, V., Vittoz, F., Antony, S., Rinaldi, R.G., Manin, L. and Geminard, J.-C. (2022), "Dynamical buckling of a table-tennis ball impinging normally on a rigid target: Experimental and numerical studies", Phys. Rev. E, 106(1), 014207. https://doi.org/10.1103/PhysRevE.106.014207 
  135. Sabzevari, F., Amelirad, O., Moradi, Z. and Habibi, M. (2023), "Artificial intelligence evaluation of COVID-19 restrictions and speech therapy effects on the autistic children's behavior", Scientific Reports, 13(1), 4312. https://doi.org/10.1038/s41598-022-25902-y 
  136. Safaei, B., Fattahi, A.M. and Chu, F. (2018), "Finite element study on elastic transition in platelet reinforced composites", Microsyst. Technol., 24(6), 2663-2671. https://doi.org/10.1007/s00542-017-3651-y 
  137. Safarpour, H., Ghanizadeh, S.A. and Habibi, M. (2018), "Wave propagation characteristics of a cylindrical laminated composite nanoshell in thermal environment based on the nonlocal strain gradient theory", Eur. Phys. J. Plus, 133(12), 532. https://doi.org/10.1140/epjp/i2018-12385-2 
  138. Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019a), "A size-dependent exact theory for thermal buckling, free and forced vibration analysis of temperature dependent FG multilayer GPLRC composite nanostructures restring on elastic foundation", Int. J. Mech. Mater. Des., 15(3), 569-583. https://doi.org/10.1007/s10999-018-9431-8 
  139. Safarpour, H., Pourghader, J. and Habibi, M. (2019b), "Influence of spring-mass systems on frequency behavior and critical voltage of a high-speed rotating cantilever cylindrical three-dimensional shell coupled with piezoelectric actuator", J. Vib. Control, 25(9), 1543-1557. https://doi.org/10.1177/1077546319828465 
  140. Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 37, 2369-2388. https://doi.org/10.1007/s00366-020-00949-5 
  141. Sajedi, F. and Shariati, M. (2019), "Behavior study of NC and HSC RCCs confined by GRP casing and CFRP wrapping", Steel Compos. Struct., Int. J., 30(5), 417-432. https://doi.org/10.12989/scs.2019.30.5.417 
  142. Shah, S., Sulong, N.R., Shariati, M. and Jumaat, M. (2015), "Steel rack connections: identification of most influential factors and a comparison of stiffness design methods", PloS one, 10(10), e0139422. https://doi.org/10.1371/journal.pone.0139422 
  143. Shah, S., Sulong, N.R., Shariati, M., Khan, R. and Jumaat, M. (2016a), "Behavior of steel pallet rack beam-to-column connections at elevated temperatures", Thin-Wall. Struct., 106, 471-483. https://doi.org/10.1016/j.tws.2016.05.021 
  144. Shah, S.N.R., Ramli Sulong, N.H., Khan, R., Jumaat, M.Z. and Shariati, M. (2016b), "Behavior of Industrial Steel Rack Connections", Mech. Syst. Signal Process., 70-71, 725-740. https://doi.org/10.1016/j.ymssp.2015.08.026 
  145. Shao, Y., Zhao, Y., Gao, J. and Habibi, M. (2021), "Energy absorption of the strengthened viscoelastic multi-curved composite panel under friction force", Arch. Civil Mech. Eng., 21(4), 1-29. https://doi.org/10.1007/s43452-021-00279-3 
  146. Shao, Z., Zhai, Q. and Guan, X. (2023), "Physical-Model-Aided Data-Driven Linear Power Flow Model: An Approach to Address Missing Training Data", IEEE Transact. Power Syst., 38(3), 2970-2973. https://doi.org/10.1109/TPWRS.2023.3256120 
  147. Shariat, M., Lagzian, M., Maleki, S., Shariati, A. and Thoi Trung, N. (2020), "Evaluation of seismic performance factors for tension-only braced frames", Steel Compos. Struct., Int. J., 35(4), 599-609. http://dx.doi.org/10.12989/scs.2020.35.4.599 
  148. Shariati, M., Ramli Sulong, N., Suhatril, M., Shariati, A., Arabnejad Khanouki, M. and Sinaei, H. (2012), "Fatigue energy dissipation and failure analysis of channel shear connector embedded in the lightweight aggregate concrete in composite bridge girders", Proceedings of the 5th International Conference on Engineering Failure Analysis, The Hague, The Netherlands, July. 
  149. Shariati, M., Ramli Sulong, N.H., Shariati, A. and Khanouki, M.A. (2016), "Behavior of V-shaped angle shear connectors: experimental and parametric study", Mater. Struct., 49(9), 3909-3926. https://doi.org/10.1617/s11527-015-0762-8 
  150. Shariati, M., Tahir, M.M., Wee, T.C., Shah, S.N.R., Jalali, A., Abdullahi, M.A.M. and Khorami, M. (2018), "Experimental investigations on monotonic and cyclic behavior of steel pallet rack connections", Eng. Fail. Anal., 85, 149-166. https://doi.org/10.1016/j.engfailanal.2017.08.014 
  151. Shariati, M., Heirati, A., Zandi, Y., Laka, H., Toghroli, A., Kianmehr, P., Safa, M., Salih, M.N. and Poi-Ngian, S. (2019a), "Application of waste tire rubber aggregate in porous concrete", Smart Struct. Syst., Int. J., 24(4), 553-566. https://doi.org/10.12989/sss.2019.24.4.553 
  152. Shariati, M., Mafipour, M.S., Mehrabi, P., Bahadori, A., Zandi, Y., Salih, M.N., Nguyen, H., Dou, J., Song, X. and Poi-Ngian, S. (2019b), "Application of a hybrid artificial neural network-particle swarm optimization (ANN-PSO) model in behavior prediction of channel shear connectors embedded in normal and high-strength concrete", Appl. Sci., 9(24), 5534. https://doi.org/10.3390/app9245534 
  153. Shariati, M., Rafie, S., Zandi, Y., Fooladvand, R., Gharehaghaj, B., Mehrabi, P., Shariat, A., Trung, N.T., Salih, M.N. and PoiNgian, S. (2019c), "Experimental investigation on the effect of cementitious materials on fresh and mechanical properties of self-consolidating concrete", Adv. Concrete Constr., Int. J., 8(3), 225-237. https://doi.org/10.12989/acc.2019.8.3.225 
  154. Shariati, A., Barati, M.R., Ebrahimi, F., Singhal, A. and Toghroli, A. (2020a), "Investigating vibrational behavior of graphene sheets under linearly varying in-plane bending load based on the nonlocal strain gradient theory", Adv. Nano Res., Int. J., 8(4), 265-276. https://doi.org/10.12989/anr.2020.8.4.265 
  155. Shariati, A., Ebrahimi, F., Karimiasl, M., Selvamani, R. and Toghroli, A. (2020b), "On bending characteristics of smart magneto-electro-piezoelectric nanobeams system", Adv. Nano Res., Int. J., 9(3), 183-191. http://dx.doi.org/10.12989/anr.2020.9.3.183 
  156. Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020c), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 37, 3629-3648. https://doi.org/10.1007/s00366-020-01024-9 
  157. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020d), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials, 13(7), 1707. https://doi.org/10.3390/ma13071707 
  158. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020e), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry, 12(4), 586. https://doi.org/10.3390/sym12040586 
  159. Shariati, M., Azar, S.M., Arjomand, M.-A., Tehrani, H.S., Daei, M. and Safa, M. (2020f), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., Int. J., 20(2), 87-101. https://doi.org/10.12989/gae.2020.20.2.087 
  160. Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020g), "The effect of RBS connection on energy absorption in tall buildings with braced tube frame system", Steel Compos. Struct., Int. J., 34(3), 393-407. https://doi.org/10.12989/scs.2020.34.3.393 
  161. Shariati, M., Grayeli, M., Shariati, A. and Naghipour, M. (2020h), "Performance of composite frame consisting of steel beams and concrete filled tubes under fire loading", Steel Compos. Struct., Int. J., 36(5), 587-602. https://doi.org/10.12989/scs.2020.36.5.587 
  162. Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020i), "Prediction of concrete strength in presence of furnace slag and fly ash using Hybrid ANN-GA (Artificial Neural Network-Genetic Algorithm)", Smart Struct. Syst., Int. J., 25(2), 183-195. https://doi.org/10.12989/sss.2020.25.2.183 
  163. Shariati, M., Mahmoudi Azar, S., Arjomand, M.-A., Salmani Tehrani, H., Daei, M. and Safa, M. (2020j), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., Int. J., 20(2), 87-101. https://doi.org/10.12989/gae.2020.19.6.473 
  164. Shariati, M., Naghipour, M., Yousofizinsaz, G., Toghroli, A. and Pahlavannejad Tabarestani, N. (2020k), "Numerical study on the axial compressive behavior of built-up CFT columns considering different welding lines", Steel Compos. Struct., Int. J., 34(3), 377-391. https://doi.org/10.12989/scs.2020.34.3.377 
  165. Shariati, A., Hosseini, S.H.S., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2021a), "Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators", Eng. Comput., 37(3), 1835-1850. https://doi.org/10.1007/s00366-019-00916-9 
  166. Shariati, A., Hosseini, S.H.S., Ebrahimi, F. and Toghroli, A. (2021b), "Nonlinear dynamics and vibration of reinforced piezoelectric scale-dependent plates as a class of nonlinear Mathieu-Hill systems: parametric excitation analysis", Eng. Comput., 37(3), 2285-2301. https://doi.org/10.1007/s00366-020-00942-y 
  167. Shariati, M., Armaghani, D.J., Khandelwal, M., Zhou, J. and Khorami, M. (2021c), "Assessment of longstanding effects of fly ash and silica fume on the compressive strength of concrete using extreme learning machine and artificial neural network", J. Adv. Eng. Computat., 5(1), 50-74. http://dx.doi.org/10.25073/jaec.202151.308 
  168. Shariati, M., Davoodnabi, S.M., Toghroli, A., Kong, Z. and Shariati, A. (2021d), "Hybridization of metaheuristic algorithms with adaptive neuro-fuzzy inference system to predict load-slip behavior of angle shear connectors at elevated temperatures", Compos. Struct., 278, 114524. https://doi.org/10.1016/j.compstruct.2021.114524 
  169. Shariati, M., Mafipour, M.S., Mehrabi, P., Shariati, A., Toghroli, A., Trung, N.T. and Salih, M.N.A. (2021e), "A novel approach to predict shear strength of tilted angle connectors using artificial intelligence techniques", Eng. Comput., 37(3), 2089-2109. https://doi.org/10.1007/s00366-019-00930-x 
  170. Shariati, M., Shariati, A., Trung, N.T., Shoaei, P., Ameri, F., Bahrami, N. and Zamanabadi, S.N. (2021f), "Alkali-activated slag (AAS) paste: Correlation between durability and microstructural characteristics", Constr. Build. Mater., 267, 120886. https://doi.org/10.1016/j.conbuildmat.2020.120886 
  171. Shariati, A., Bayrami, S.S., Ebrahimi, F. and Toghroli, A. (2022a), "Wave propagation analysis of electro-rheological fluid-filled sandwich composite beam", Mech. Based Des. Struct. Mach., 50(5), 1481-1490. https://doi.org/10.1080/15397734.2020.1745646 
  172. Shariati, A., Ebrahimi, F., Hosseini, S.H.S., Toghroli, A. and Bayrami, S.S. (2022b), "On the nonlinear dynamics of viscoelastic graphene sheets conveying nanoflow: Parametric excitation analysis", Mech. Based Des. Struct. Mach., 50(3), 781-798. https://doi.org/10.1080/15397734.2020.1728544 
  173. She, Q., Hu, R., Xu, J., Liu, M., Xu, K. and Huang, H. (2022), "Learning High-DOF Reaching-and-Grasping via Dynamic Representation of Gripper-Object Interaction", arXiv preprint arXiv:2204.13998. https://doi.org/10.1145/3528223.3530091 
  174. Shokrgozar, A., Safarpour, H. and Habibi, M. (2020), "Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator", Proceedings of the Institution of Mechanical Engineers, Part C: J. Mech. Eng. Sci., 234(2), 512-529. https://doi.org/10.1177/0954406219883312 
  175. Simsek, M. (2010), "Fundamental frequency analysis of functionally graded beams by using different higher-order beam theories", Nuclear Engineering and Design, 240(4), 697-705. https://doi.org/10.1016/j.nucengdes.2009.12.013 
  176. Sobhy, M. (2013), "Buckling and free vibration of exponentially graded sandwich plates resting on elastic foundations under various boundary conditions", Compos. Struct., 99, 76-87. https://doi.org/10.1016/j.compstruct.2012.11.018 
  177. Song, M., Li, X., Kitipornchai, S., Bi, Q. and Yang, J. (2019), "Low-velocity impact response of geometrically nonlinear functionally graded graphene platelet-reinforced nanocomposite plates", Nonlinear Dyn.,. 95(3), 2333-2352. https://doi.org/10.1007/s11071-018-4695-y 
  178. Song, F., Liu, Y., Shen, D., Li, L. and Tan, J. (2022), "Learning Control for Motion Coordination in Wafer Scanners: Toward Gain Adaptation", IEEE Transact. Indust. Electron., 69(12), 13428-13438. https://doi.org/10.1109/TIE.2022.3142428 
  179. Suhatril, M., Osman, N., Azura Sari, P., Shariati, M. and Marto, A. (2019), "Significance of surface eco-protection techniques for cohesive soils slope in Selangor, Malaysia", Geotech. Geolog. Eng., 37(3), 2007-2014. https://doi.org/10.1007/s10706-018-0740-3 
  180. Taati, E., Borjalilou, V., Fallah, a., Famida and Ahmadian, M.T. (2020), "On size-dependent nonlinear free vibration of carbon nanotube-reinforced beams based on the nonlocal elasticity theory: Perturbation technique", Mech. Based Des. Struct. Mach., 50(6), 2124-2146. https://doi.org/10.1080/15397734.2020.1772087 
  181. Tahmasbi, F., Maleki, S., Shariati, M., Ramli Sulong, N. and Tahir, M. (2016), "Shear capacity of C-shaped and L-shaped angle shear connectors", PLoS One, 11(8), e0156989. https://doi.org/10.1371/journal.pone.0156989 
  182. Tavakkoli, O., Kamyab, H., Junin, R., Ashokkumar, V., Shariati, A. and Mohamed, A.M. (2022a), "SDS-Aluminum Oxide Nanofluid for Enhanced Oil Recovery: IFT, Adsorption, and Oil Displacement Efficiency", ACS Omega, 7(16), 14022-14030. https://doi.org/10.1021/acsomega.2c00567 
  183. Tavakkoli, O., Kamyab, H., Shariati, M., Mustafa Mohamed, A. and Junin, R. (2022b), "Effect of nanoparticles on the performance of polymer/surfactant flooding for enhanced oil recovery: A review", Fuel, 312, 122867. https://doi.org/10.1016/j.fuel.2021.122867 
  184. Toghroli, A., Nasirianfar, M.S., Shariati, A., Khorami, M., Paknahad, M., Ahmadi, M., Gharehaghaj, B. and Zandi, Y. (2020), "Analysis of extended end plate connection equipped with SMA bolts using component method", Steel Compos. Struct., Int. J., 36(2), 213-228. https://doi.org/10.12989/scs.2020.36.2.213 
  185. Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020), "Frequency and buckling responses of a high-speed rotating fiber metal laminated cantilevered microdisk", Mech. Adv. Mater. Struct., 29(10), 1475-1488. https://doi.org/10.1080/15376494.2020.1824284 
  186. Wang, F., Wang, H., Zhou, X. and Fu, R. (2022a), "A Driving Fatigue Feature Detection Method Based on Multifractal Theory", IEEE Sensors J., 22(19), 19046-19059. https://doi.org/10.1109/JSEN.2022.3201015 
  187. Wang, P., Gao, Z., Pan, F., Moradi, Z., Mahmoudi, T. and Khadimallah, M.A. (2022b), "A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bidirectional functionally graded nanotubes based on the nonlocal strain gradient theory and high-order beam theory", Eng. Anal. Bound. Elem., 143, 124-136. https://doi.org/10.1016/j.enganabound.2022.06.007 
  188. Wang, Y., Yang, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022c), "Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation", Eur. J. Mech.-A/Solids, 95, 104638. https://doi.org/10.1016/j.euromechsol.2022.104638 
  189. Wang, X., Wu, S., Yin, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2023), "On the electromechanical energy absorption of the reinforced composites piezoelectric MEMS via Adaptive neuro-fuzzy inference system and MCS theory", Compos. Struct., 303, 116246. https://doi.org/10.1016/j.compstruct.2022.116246 
  190. Wei, X., Shariati, M., Zandi, Y., Pei, S., Jin, Z., Gharachurlu, S., Abdullahi, M., Tahir, M. and Khorami, M. (2018), "Distribution of shear force in perforated shear connectors", Steel Compos. Struct., Int. J., 27(3), 389-399. http://dx.doi.org/10.12989/scs.2018.27.3.389 
  191. Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultrafast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. Comput., 38, 4127-4143. https://doi.org/10.1007/s00366-021-01396-6 
  192. Xiong, Q.-M., Chen, Z., Huang, J.-T., Zhang, M., Song, H., Hou, X.-F., Li, X.-B. and Feng, Z.-J. (2020), "Preparation, structure and mechanical properties of Sialon ceramics by transition metal-catalyzed nitriding reaction", Rare Metals, 39(5), 589-596. https://doi.org/10.1007/s12598-020-01385-6 
  193. Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021), "Nonlinear forced vibration analysis of functionally graded non-uniform cylindrical microbeams applying the semi-analytical solution", Compos. Struct., 275, 114395. https://doi.org/10.1016/j.compstruct.2021.114395 
  194. Yang, S. and Sun, C. (1982), "Indentation law for composite laminates", Proceedings of the 6th Conference on Composite Materials: Testing and Design. 
  195. Yang, N., Moradi, Z., Arvin, H., Muhsen, S. and Khadimallah, M.A. (2022a), "A study on small scale thermal dynamic instability of rotating GPL-reinforced microbeams under principal parametric resonance stimulation of axial and transversal modes regarding the proportional damping", ThinWall. Struct., 180, 109806. https://doi.org/10.1016/j.tws.2022.109806 
  196. Yang, N., Moradi, Z., Khadimallah, M.A. and Arvin, H. (2022b), "Application of the Chebyshev-Ritz route in determination of the dynamic instability region boundary for rotating nanocomposite beams reinforced with graphene platelet subjected to a temperature increment", Eng. Anal. Bound. Elem., 139, 169-179. https://doi.org/10.1016/j.enganabound.2022.03.013 
  197. Yang, C., Su, C., Hu, H., Habibi, M., Safarpour, H. and Khadimallah, M.A. (2023), "Performance optimization of photovoltaic and solar cells via a hybrid and efficient chimp algorithm", Solar Energy, 253, 343-359. https://doi.org/10.1016/j.solener.2023.02.036 
  198. Yazdani, M., Kabirifar, K., Frimpong, B.E., Shariati, M., Mirmozaffari, M. and Boskabadi, A. (2021), "Improving construction and demolition waste collection service in an urban area using a simheuristic approach: A case study in Sydney, Australia", J. Cleaner Product., 280, 124138. https://doi.org/10.1016/j.jclepro.2020.124138 
  199. Yu, X., Maalla, A. and Moradi, Z. (2022), "Electroelastic highorder computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory", Mech. Syst. Signal Process., 165, 108373. https://doi.org/10.1016/j.ymssp.2021.108373 
  200. Zainah, T.A.S.M.I. and Shahaboddin, S.M.S.M.S. (1801), "Potential of soft computing approach for evaluating the factors affecting the capacity of steel-concrete composite beam", J. Intell. Manuf., 29(8), 1793. 
  201. Zare, R., Najaafi, N., Habibi, M., Ebrahimi, F. and Safarpour, H. (2020), "Influence of imperfection on the smart control frequency characteristics of a cylindrical sensor-actuator GPLRC cylindrical shell using a proportional-derivative smart controller", Smart Struct. Syst., Int. J., 26(4), 469-480. https://doi.org/10.12989/sss.2020.26.4.469 
  202. Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2021), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Waves Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1948627 
  203. Zhang, J., Tang, Y., Wang, H. and Xu, K. (2022a), "ASRO-DIO: Active Subspace Random Optimization Based Depth Inertial Odometry", IEEE Transact. Robot., 39(2), 1496-1508. https://doi.org/10.1109/TRO.2022.3208503 
  204. Zhang, P., Gao, Y., Moradi, Z., Ali, Y.A. and Khadimallah, M.A. (2022b), "A semi-analytical procedure for cross section effect on the buckling and dynamic stability of composite imperfect truncated conical microbeam", Steel Compos. Struct., Int. J., 44(3), 357-374. https://doi.org/10.12989/scs.2022.44.3.371 
  205. Zhao, Y. and Wei, G. (2002), "DSC analysis of rectangular plates with non-uniform boundary conditions", J. Sound Vib., 255(2), 203-228. https://doi.org/10.1006/jsvi.2001.4150 
  206. Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2021), "Bending and stress responses of the hybrid axisymmetric system via state-space method and 3D-elasticity theory", Eng. Comput., 38, 939-961. https://doi.org/10.1007/s00366-020-01242-1 
  207. Zhao, H., Li, C., Fu, Y., Oyarhossein, M.A., Habibi, M. and Safarpour, H. (2023), "Quasi-static indentation, low-velocity impact, and resonance responses of the laminated double-curved panel considering various boundary conditions", Thin-Wall. Struct., 183, 110360. https://doi.org/10.1016/j.tws.2022.110360 
  208. Zheng, Y., Jin, H., Jiang, C., Moradi, Z., Khadimallah, M.A. and Moayedi, H. (2022), "Analyzing behavior of circular concrete-filled steel tube column using improved fuzzy models", Steel Compos. Struct., Int. J., 43(5), 625-637. https://doi.org/10.12989/scs.2022.43.5.625 
  209. Zheng, W., Liu, J., Oyarhossein, M.A., Safarpour, H. and Habibi, M. (2023), "Prediction of nth-order derivatives for vibration responses of a sandwich shell composed of a magnetorheological core and composite face layers", Eng. Anal. Bound. Elem., 146, 170-183. https://doi.org/10.1016/j.enganabound.2022.10.019 
  210. Zhou, C., Zhao, Y., Zhang, J., Fang, Y. and Habibi, M. (2020), "Vibrational characteristics of multi-phase nanocomposite reinforced circular/annular system", Adv. Nano Res., Int. J., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295 
  211. Zhou, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022a), "Intelligent modeling to investigate the stability of a two-dimensional functionally graded porosity-dependent nanobeam", Comput. Concrete., Int. J., 30(2), 85-97. https://doi.org/10.12989/cac.2022.30.2.085 
  212. Zhou, L., Moradi, Z., Al-Tamimi, H.M. and Ali, H.E. (2022b), "On propagation of elastic waves in an embedded sigmoid functionally graded curved beam", Steel Compos. Struct., Int. J., 44(1), 17-31. https://doi.org/10.12989/scs.2022.44.1.017 
  213. Zhu, H., Xue, M., Wang, Y., Yuan, G. and Li, X. (2022a), "Fast visual tracking with siamese oriented region proposal network", IEEE Signal Process. Lett., 29, 1437-1441. https://doi.org/10.1109/LSP.2022.3178656 
  214. Zhu, L., Ren, H., Habibi, M., Mohammed, K.J. and Khadimallah, M.A. (2022b), "Predicting the environmental economic dispatch problem for reducing waste nonrenewable materials via an innovative constraint multi-objective Chimp Optimization Algorithm", J. Cleaner Product., 365, 132697. https://doi.org/10.1016/j.jclepro.2022.132697