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http://dx.doi.org/10.12989/cac.2022.29.6.419

Machine learning for structural stability: Predicting dynamics responses using physics-informed neural networks  

Li, Zhonghong (School of Architectural Engineering and Art Design, Chongqing Chemical Industry Vocational College)
Yan, Gongxing (School of Intelligent Construction, Luzhou Vocational and Technical College)
Publication Information
Computers and Concrete / v.29, no.6, 2022 , pp. 419-432 More about this Journal
Abstract
This article deals with the vibrational response of a nanobeam made of bi-directional FG materials which is modeled via nonlocal strain gradient theory along with HSDT. Also, the nanobeam is placed on a Winkler-Pasternak foundation and is under axial mechanical loading. By using the variational energy method, the formulation and end conditions are obtained. Then, DSC-IM, as the numerical solution procedure is employed to extract the results. The material properties of the nanobeam are FG which varies in two directions with in exponential manner. The results from DDN are verified by using other papers. Lastly, a thorough parametric investigation is presented to investigated the effect of different parameters.
Keywords
bi-directional FG concrete nanobeam; DSC-IM; NS/SGT; physics-informed neural networks; vibrational problem;
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Times Cited By KSCI : 37  (Citation Analysis)
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1 Kadoli, R., Akhtar, K. and Ganesan, N. (2008), "Static analysis of functionally graded beams using higher order shear deformation theory", Appl. Math. Model., 32(12), 2509-2525. https://doi.org/10.1016/j.apm.2007.09.015.   DOI
2 Karami, B., Shahsavari, D. and Janghorban, M. (2018), "Wave propagation analysis in functionally graded (FG) nanoplates under in-plane magnetic field based on nonlocal strain gradient theory and four variable refined plate theory", Mech. Adv. Mater. Struct., 25(12), 1047-1057. https://doi.org/10.1080/15376494.2017.1323143.   DOI
3 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.   DOI
4 Mohammadhassani, M., Suhatril, M., Shariati, M. and Ghanbari, F. (2013), "Ductility and strength assessment of HSC beams with varying of tensile reinforcement ratios", Struct. Eng. Mech., 48(6), 833-848. https://doi.org/10.12989/sem.2013.48.6.833.   DOI
5 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.   DOI
6 Shariati, M., Heyrati, A., Zandi, Y., Laka, H., Toghroli, A., Kianmehr, P., Safa, M., Salih, M.N.A. and Poi-Ngian, S. (2019), "Application of waste tire rubber aggregate in porous concrete", Smart Struct. Syst., 24(4), 553-566. https://doi.org/10.12989/sss.2019.24.4.553.   DOI
7 Shariati, M., Ramli Sulong, N.H., Sinaei, H., Arabnejad Khanouki, M.M. and Shafigh, P. (2011), "Behavior of channel shear connectors in normal and light weight aggregate concrete (experimental and analytical study)", Adv. Mater. Res., 168, 2303-2307. https://doi.org/10.4028/www.scientific.net/AMR.168-170.2303.   DOI
8 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. Bas. Des. Struct. Mach., 1-24. https://doi.org/10.1080/15397734.2020.1744005.   DOI
9 Multiphysics, C.O.M.S.O.L. (1998), Introduction to Comsol Multiphysics®, COMSOL Multiphysics, Burlington, MA, accessed Feb, 9(2018), 32.
10 Cheng, H., Sun, L., Wang, Y. and Chen, X. (2021), "Effects of actual loading waveforms on the fatigue behaviours of asphalt mixtures", International Journal of Fatigue. 151 106386. https://doi.org/10.1016/j.ijfatigue.2021.106386.   DOI
11 Lv, Z., Guo, J. and Lv, H. (2022b), "Safety Poka Yoke in Zero-Defect Manufacturing Based on Digital Twins", IEEE Transactions on Industrial Informatics. https://doi.org/10.1109/TII.2021.3139897.   DOI
12 Shah, S.N.R., Sulong, N.H.R., Khan, R., Jumaat, M.Z. and Shariati, M. (2016b), "Behavior of industrial steel rack connections", Mech. Syst. Signal Pr., 70-71, 725-740. https://doi.org/10.1016/j.ymssp.2015.08.026.   DOI
13 Shah, S.N.R., Sulong, N.H.R., Shariati, M. and Jumaat, M.Z. (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.   DOI
14 Shariati, M., Tahir, M.M., Wee, T.C., Shah, S.N.R., Jalali, A., Abdullahi, M.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.   DOI
15 Xie, Q., Sinaei, H., Shariati, M., Khorami, M., Mohamad, E.T. and Bui, D.T. (2019), "An experimental study on the effect of CFRP on behavior of reinforce concrete beam column connections", Steel Compos. Struct., 30(5), 433-441. https://doi.org/10.12989/scs.2019.30.5.433.   DOI
16 Toghroli, A., Shariati, M., Sajedi, F., Ibrahim, Z., Koting, S., Mohamad, E.T. and Khorami, M. (2018), "A review on pavement porous concrete using recycled waste materials", Smart Struct. Syst., 22(4), 433-440. https://doi.org/10.12989/sss.2018.22.4.433.   DOI
17 Ng, C., Zhao, Y. and Wei, G. (2004), "Comparison of discrete singular convolution and generalized differential quadrature for the vibration analysis of rectangular plates", Comput. Meth. Appl. Mech. Eng., 193(23-26), 2483-2506. https://doi.org/10.1016/j.cma.2004.01.013.   DOI
18 Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021a), "Frequency characteristics and sensitivity analysis of a size-dependent laminated nanoshell", Adv. Nano Res., 10(2), 175. https://doi.org/10.12989/anr.2021.10.2.175.   DOI
19 Loja, M.R., Barbosa, J.I. and Soares, C.M. (2001), "Static and dynamic behaviour of laminated composite beams", Int. J. Struct. Stab. Dyn., 1(4), 545-560. https://doi.org/10.1142/S0219455401000354.   DOI
20 Luo, Z.Y., Sinaei, H., Ibrahim, Z., Shariati, M., Jumaat, Z., Wakil, K., Pham, B.T., Mohamad, E.T. and Khorami, M. (2019), "Computational and experimental analysis of beam to column joints reinforced with CFRP plates", Steel Compos. Struct., 30(3), 271-280. https://doi.org/10.12989/scs.2019.30.3.271.   DOI
21 Adamian, A., Safari, K.H., Sheikholeslami, M., Habibi, M., AlFurjan, 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.   DOI
22 Singh, G., Rao, G.V. and Iyengar, N. (1992), "Nonlinear bending of thin and thick unsymmetrically laminated composite beams using refined finite element model", Comput. Struct., 42(4), 471-479. https://doi.org/10.1016/0045-7949(92)90114-F.   DOI
23 She, G.L., Yan, K.M., Zhang, Y.L., Liu, H.B. and Ren, Y.R. (2018), "Wave propagation of functionally graded porous nanobeams based on non-local strain gradient theory", Eur. Phys. J. Plus, 133(9), 1-9. https://doi.org/10.1140/epjp/i2018-12196-5.   DOI
24 Sheng, C., He, G., Hu, Z., Chou, C., Shi, J., Li, J., Meng, Q., Ning, X., Wang, L. and Ning, F. (2021), "Yarn on yarn abrasion failure mechanism of ultrahigh molecular weight polyethylene fiber", J. Eng. Fib. Fabric., 16, 15589250211052766. https://doi.org/10.1177/15589250211052766.   DOI
25 Shi, T., Liu, Y., Zhang, Y., Lan, Y., Zhao, Q., Zhao, Y. and Wang, H. (2022), "Calcined attapulgite clay as supplementary cementing material: thermal treatment, hydration activity and mechanical properties", Int. J. Concrete Struct. Mater., 16(1), 1-10. https://doi.org/10.1186/s40069-022-00499-8.   DOI
26 Toghroli, A., Mehrabi, P., Shariati, M., Trung, N.T., Jahandari, S. and Rasekh, H. (2020), "Evaluating the use of recycled concrete aggregate and pozzolanic additives in fiber-reinforced pervious concrete with industrial and recycled fibers", Constr. Build. Mater.. 252, 118997. https://doi.org/10.1016/j.conbuildmat.2020.118997.   DOI
27 Toghroli, A., Shariati, M., Karim, M.R. and Ibrahim, Z. (2017). "Investigation on composite polymer and silica fume-rubber aggregate pervious concrete", Fifth International Conference on Advances in Civil, Structural and Mechanical Engineering - CSM 2017, Zurich, Switzerland, September.
28 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.   DOI
29 Tounsi, A., Benguediab, S., Semmah, A. and Zidour, M. (2013), "Nonlocal effects on thermal buckling properties of double-walled carbon nanotubes", Adv. Nano Res., 1(1), 1. https://doi.org/10.12989/anr.2013.1.1.001.   DOI
30 Wang, H., Habibi, M., Marzouki, R., Majdi, A., Shariati, M., Denic, N., Zakic, A., Khorami, M., Khadimallah, M.A. and Ebid, A.A.K. (2022a), "Improving the self-healing of cementitious materials with a hydrogel system", Gel., 8(5), 278. https://doi.org/10.3390/gels8050278.   DOI
31 Wei, G.-. (2001), "A new algorithm for solving some mechanical problems", Comput. Meth. Appl. Mech. Eng., 190(15-17), 2017-2030. https://doi.org/10.1016/S0045-7825(00)00219-X.   DOI
32 Wu, C.P., Chen, Y.H., Hong, Z.L. and Lin, C.H. (2018), "Nonlinear vibration analysis of an embedded multi-walled carbon nanotube", Adv. Nano Res., 6(2), 163. https://doi.org/10.12989/anr.2018.6.2.163.   DOI
33 Dehshahri, K., Nejad, M.Z., Ziaee, S., Niknejad, A. and Hadi, A. (2020), "Free vibrations analysis of arbitrary three-dimensionally FGM nanoplates", Adv. Nano Res., 8(2), 115-134. https://doi.org/10.12989/anr.2020.8.2.115.   DOI
34 Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020d), "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.   DOI
35 Malikan, M. and Nguyen, V.B. (2018), "Buckling analysis of piezo-magnetoelectric nanoplates in hygrothermal environment based on a novel one variable plate theory combining with higher-order nonlocal strain gradient theory", Physica E: Low Dimens. Syst. Nanostr., 102, 8-28. https://doi.org/10.1016/j.physe.2018.04.018.   DOI
36 Meng, Q., Lai, X., Yan, Z., Su, C.Y. and Wu, M. (2021), "Motion planning and adaptive neural tracking control of an uncertain two-link rigid-flexible manipulator with vibration amplitude constraint", IEEE Trans. Neur. Network. Learn. Syst., 1-15. https://doi.org/10.1109/TNNLS.2021.3054611.   DOI
37 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", Sustainab., 14(8), 4752. https://doi.org/10.3390/su14084752.   DOI
38 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 Metal., 39(5), 589-596. https://doi.org/10.1007/s12598-020-01385-6.   DOI
39 Xu, Y., Zhang, H., Yang, F., Tong, L., Yan, D., Yang, Y., Wang, Y. and Wu, Y. (2021b), "Experimental investigation of pneumatic motor for transport application", Renew. Energy, 179, 517-527. https://doi.org/10.1016/j.renene.2021.07.072.   DOI
40 Yang, N., Moradi, Z., Khadimallah, M.A. and Arvin, H. (2022), "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.   DOI
41 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.   DOI
42 Ebrahimi, F. and Barati, M.R. (2017), "Hygrothermal effects on vibration characteristics of viscoelastic FG nanobeams based on nonlocal strain gradient theory", Compos. Struct., 159, 433-444.   DOI
43 Ebrahimi, F., Barati, M.R. and Dabbagh, A. (2016), "A nonlocal strain gradient theory for wave propagation analysis in temperature-dependent inhomogeneous nanoplates", Int. J. Eng. Sci., 107, 169-182. https://doi.org/10.1016/j.ijengsci.2016.07.008.   DOI
44 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.   DOI
45 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.   DOI
46 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. Math. Appl., 77(10), 2608-2626. https://doi.org/10.1016/j.camwa.2018.12.041.   DOI
47 Merzouki, T., Ahmed, H.M.S., Bessaim, A., Haboussi, M., Dimitri, R. and Tornabene, F. (2022), "Bending analysis of functionally graded porous nanocomposite beams based on a non-local strain gradient theory", Math. Mech. Solid., 27(1), 66-92. https://doi.org/10.1177/10812865211011759.   DOI
48 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(1), 2050010. https://doi.org/10.1142/S1758825120500106.   DOI
49 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.   DOI
50 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", Scientif. Report., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.   DOI
51 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707.   DOI
52 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020c), "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.   DOI
53 Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020d), "The effect of RBS connection on energy absorption in tall buildings with braced tube frame system", Steel Compos. Struct., 34(3), 393. https://doi.org/10.12989/scs.2020.34.3.393.   DOI
54 Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.   DOI
55 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., 26(4), 469-480. https://doi.org/10.12989/sss.2020.26.4.469.   DOI
56 Zeiler, M.D. (2012), "Adadelta: an adaptive learning rate method", arXiv preprint arXiv:1212.5701.
57 Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021d), "On the modelling of the vibration behaviors via discrete singular convolution method for a high-order sector annular system", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-021-01454-z.   DOI
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. Bas. Des. Struct. Mach., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310.   DOI
59 Ebrahimi, F. and Jafari, A. (2017), "Investigating vibration behavior of smart imperfect functionally graded beam subjected to magnetic-electric fields based on refined shear deformation theory", Adv. Nano Res., 5(4), 281. https://doi.org/10.12989/anr.2017.5.4.281.   DOI
60 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.   DOI
61 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.   DOI
62 Chen, F., Jin, Z., Wang, E., Wang, L., Jiang, Y., Guo, P., Gao, X. and He, X. (2021b), "Relationship model between surface strain of concrete and expansion force of reinforcement rust", Scientif. Report., 11(1), 1-11. https://doi.org/10.1038/s41598-021-83376-w.   DOI
63 Chen, H., Miao, Y., Chen, Y., Fang, L., Zeng, L. and Shi, J. (2021c), "Intelligent model-based integrity assessment of nonstationary mechanical system", J. Web Eng., 253-280. https://doi.org/10.13052/jwe1540-9589.2022.   DOI
64 Cheng, H., Liu, L. and Sun, L. (2022), "Bridging the gap between laboratory and field moduli of asphalt layer for pavement design and assessment: A comprehensive loading frequency-based approach", Front. Struct. Civil Eng., 1-14. https://doi.org/10.1007/s11709-022-0811-7.   DOI
65 Al-Furjan, M., Dehini, R., Khorami, M., Habibi, M. and won Jung, D. (2020a), "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.   DOI
66 Mohammadhassani, M., Akib, S., Shariati, M., Suhatril, M. and Khanouki, M.M.A. (2014), "An experimental study on the failure modes of high strength concrete beams with particular references to variation of the tensile reinforcement ratio", Eng. Fail. Anal., 41, 73-80. https://doi.org/10.1016/j.engfailanal.2013.08.014.   DOI
67 Ning, F., He, G., Sheng, C., He, H., Wang, J., Zhou, R. and Ning, X. (2021), "Yarn on yarn abrasion performance of high modulus polyethylene fiber improved by graphene/polyurethane composites coating", J. Eng. Fib. Fabric., 16, 1558925020983563. https://doi.org/10.1177/1558925020983563.   DOI
68 Li, L., Hu, Y. and Li, X. (2016), "Longitudinal vibration of size-dependent rods via nonlocal strain gradient theory", Int. J. Mech. Sci., 115, 135-144. https://doi.org/10.1016/j.ijmecsci.2016.06.011.   DOI
69 Peng, Y., Xu, Z., Wang, M., Li, Z., Peng, J., Luo, J., Xie, S., Pu, H. and Yang, Z. (2021), "Investigation of frequency-up conversion effect on the performance improvement of stack-based piezoelectric generators", Renew. Energy, 172, 551-563. https://doi.org/10.1016/j.renene.2021.03.064.   DOI
70 Gao, N., Zhang, Z., Deng, J., Guo, X., Cheng, B. and Hou, H. (2022), "Acoustic metamaterials for noise reduction: A review", Adv. Mater. Technol., 7(6), 2100698. https://doi.org/10.1002/admt.202100698.   DOI
71 Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020f), "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.   DOI
72 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. Bas. Des. Struct. Mach., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343.   DOI
73 Avcar, M., Hadji, L. and Civalek, O. (2021), "Natural frequency analysis of sigmoid functionally graded sandwich beams in the framework of high order shear deformation theory", Compos. Struct., 276, 114564. https://doi.org/10.1016/j.compstruct.2021.114564.   DOI
74 Canales, F. and Mantari, J. (2016), "Buckling and free vibration of laminated beams with arbitrary boundary conditions using a refined HSDT", Compos. Part B: Eng., 100 136-145. https://doi.org/10.1016/j.compositesb.2016.06.024.   DOI
75 Chakrabarti, A., Chalak, H., Iqbal, M.A. and Sheikh, A.H. (2011), "A new FE model based on higher order zigzag theory for the analysis of laminated sandwich beam with soft core", Compos. Struct., 93(2), 271-279. https://doi.org/10.1016/j.compstruct.2010.08.031.   DOI
76 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.   DOI
77 Rajasekaran, S. and Bakhshi Khaniki, H. (2019), "Finite element static and dynamic analysis of axially functionally graded nonuniform small-scale beams based on nonlocal strain gradient theory", Mech. Adv. Mater. Struct., 26(14), 1245-1259. https://doi.org/10.1080/15376494.2018.1432797.   DOI
78 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., 1-22. https://doi.org/10.1007/s00366-021-01433-4.   DOI
79 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 Pr., 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723.   DOI
80 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.   DOI
81 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. Pr., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
82 Huang, H., Huang, M., Zhang, W., Pospisil, S. and Wu, T. (2020), "Experimental investigation on rehabilitation of corroded RC columns with BSP and HPFL under combined loadings", J. Struct. Eng., 146(8), 04020157. https://doi.org/10.1061/(ASCE)ST.1943-541X.0002725.   DOI
83 Zhu, X., Lu, Z., Wang, Z., Xue, L. and Ebrahimi-Mamaghani, A. (2020), "Vibration of spinning functionally graded nanotubes conveying fluid", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01123-7.   DOI
84 Chen, C., Shi, L., Shariati, M., Toghroli, A., Mohamad, E.T., Bui, D.T. and Khorami, M. (2019), "Behavior of steel storage pallet racking connection-A review". Steel Compos. Struct., 30(5), 457. https://doi.org/10.12989/scs.2019.30.5.457.   DOI
85 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.   DOI
86 Hamidian, M., Shariati, M., Arabnejad, M. and Sinaei, H. (2011), "Assessment of high strength and light weight aggregate concrete properties using ultrasonic pulse velocity technique", Int. J. Phys. Sci., 6(22), 5261-5266. https://doi.org/10.5897/IJPS11.1081.   DOI
87 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., 11(6), 531-544. https://doi.org/10.12989/acc.2021.11.6.531.   DOI
88 Liu, H., Zhao, Y., Pishbin, M., Habibi, M., Bashir, M. and Issakhov, A. (2021c), "A comprehensive mathematical simulation of the composite size-dependent rotary 3D microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-16. https://doi.org/10.1007/s00366-021-01419-2.   DOI
89 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. Bas. Des. Struct. Mach., 49(6), 811-840. https://doi.org/10.1080/15397734.2019.1701490.   DOI
90 Ebrahimi, F., Karimiasl, M. and Mahesh, V. (2019d), "Vibration analysis of magneto-flexo-electrically actuated porous rotary nanobeams considering thermal effects via nonlocal strain gradient elasticity theory", Adv. Nano Res., 7(4), 223-231. https://doi.org/10.12989/anr.2019.7.4.223.   DOI
91 Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2019e), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Wave. Random Complex Media, 31(6), 1655-1681. https://doi.org/10.1080/17455030.2019.1694729.   DOI
92 Ebrahimi, F. and Salari, E. (2019), "Effect of non-uniform temperature distributions on nonlocal vibration and buckling of inhomogeneous size-dependent beams", Adv. Nano Res., 6(4), 377. https://doi.org/10.12989/anr.2018.6.4.377.   DOI
93 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.   DOI
94 Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020e), "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.   DOI
95 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. Bas. Des. Struct. Mach., 49(5), 640-658. https://doi.org/10.1080/15397734.2019.1697932.   DOI
96 Chen, F.X., Zhong, Y.C., Gao, X.Y., Jin, Z.Q., Wang, E.D., Zhu, F.P., Shao, X.X. and He, X.Y. (2021a), "Non-uniform model of relationship between surface strain and rust expansion force of reinforced concrete", Scientif. Report., 11(1), 1-9. https://doi.org/10.1038/s41598-021-88146-2.   DOI
97 Cao, B., Zhao, J., Liu, X., Arabas, J., Tanveer, M., Singh, A.K. and Lv, Z. (2022), "Multiobjective Evolution of the Explainable Fuzzy Rough Neural Network with Gene Expression Programming", IEEE Transactions on Fuzzy Systems. https://doi.org/10.1109/TFUZZ.2022.3141761.   DOI
98 Al-Furjan, M., Fereidouni, M., Habibi, M., Abd Ali, R., Ni, J. and Safarpour, M. (2020b), "Influence of in-plane loading on the vibrations of the fully symmetric mechanical systems via dynamic simulation and generalized differential quadrature framework", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-020-01177-7.   DOI
99 Al-Furjan, M., Fereidouni, M., Sedghiyan, D., Habibi, M. and won Jung, D. (2020c), "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.   DOI
100 Arumugam, A.B., Rajamohan, V., Pandey, A. and Sudhagar, P.E. (2017), "Finite element vibration analysis of rotating laminated composite beam with varying cross-section using HSDT", Int. J. Interact. Des. Manuf. (IJIDeM), 11(3), 703-712.   DOI
101 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., 1-26. https://doi.org/10.1007/s00366-020-01191-9.   DOI
102 Behdad, S., Fakher, M., Naderi, A. and Hosseini-Hashemi, S. (2021), "Vibrations of defected local/nonlocal nanobeams surrounded with two-phase Winkler-Pasternak medium: non-classic compatibility conditions and exact solution", Wave. Random Complex Media, 1-36.
103 Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020a), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9.   DOI
104 Shahsavari, D., Karami, B. and Janghorban, M. (2019), "Size-dependent vibration analysis of laminated composite plates", Adv. Nano Res., 7(5), 337-349. https://doi.org/10.12989/anr.2019.7.5.337.   DOI
105 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.   DOI
106 Shariat, M., Shariati, M., Madadi, A. and Wakil, K. (2018), "Computational Lagrangian Multiplier Method by using for optimization and sensitivity analysis of rectangular reinforced concrete beams", Steel Compos. Struct., 29(2), 243-256. https://doi.org/10.12989/scs.2018.29.2.243.   DOI
107 Wang, Y., Yang, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022b), "Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation", Eur. J. Mech.-A/Solid., 95, 104638. https://doi.org/10.1016/j.euromechsol.2022.104638.   DOI
108 Wei, G., Zhao, Y. and Xiang, Y. (2001), "The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution", Int. J. Mech. Sci., 43(8), 1731-1746. https://doi.org/10.1016/S0020-7403(01)00021-2.   DOI
109 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. Bas. Des. Struct. Mach., 1-26. https://doi.org/10.1080/15397734.2020.1784201.   DOI
110 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.   DOI
111 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. Bas. Des. Struct. Mach., 1-25. https://doi.org/10.1080/15397734.2020.1815544.   DOI
112 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.   DOI
113 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.   DOI
114 Kumar, B.R. (2018), "Investigation on mechanical vibration of double-walled carbon nanotubes with inter-tube Van der waals forces", Adv. Nano Res., 6(2), 135. https://doi.org/10.12989/anr.2018.6.2.135.   DOI
115 Li, A., Masouros, C., Swindlehurst, A.L. and Yu, W. (2021a), "1-bit massive MIMO transmission: Embracing interference with symbol-level precoding", IEEE Commun. Mag., 59(5), 121-127. https://doi.org/10.1109/MCOM.001.2000601.   DOI
116 Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultrafast-rotating sandwich cantilever disk via finite element and semi-numerical methods", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01396-6.   DOI
117 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., 1-20. https://doi.org/10.1007/s00366-020-01004-z.   DOI
118 Lv, Z., Chen, D., Feng, H., Wei, W. and Lv, H. (2022a), "Artificial intelligence in underwater digital twins sensor networks", ACM Trans. Sensor Network. (TOSN), 18(3), 1-27. https://doi.org/10.1145/3519301.   DOI
119 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", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 234(2), 512-529. https://doi.org/10.1177/0954406219883312.   DOI
120 Hashemian, M., Foroutan, S. and Toghraie, D. (2019), "Comprehensive beam models for buckling and bending behavior of simple nanobeam based on nonlocal strain gradient theory and surface effects", Mech. Mater., 139, 103209. https://doi.org/10.1016/j.mechmat.2019.103209.   DOI
121 Luo, J., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022), "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/Solid., 94, 104581. https://doi.org/10.1016/j.euromechsol.2022.104581.   DOI
122 Ma, L., Liu, X. and Moradi, Z. (2021). "On the chaotic behavior of graphene-reinforced annular systems under harmonic excitation", Eng. Comput., 1-25. https://doi.org/10.1007/s00366-020-01210-9.   DOI
123 Shariati, M. (2008), "Assessment building using none-destructive test techniques (ultra Sonic Pulse Velocity and Schmidt Rebound Hammer)", Universiti Putra Malaysia.
124 Xu, W., Pan, G., Moradi, Z. and Shafiei, N. (2021a), "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.   DOI
125 Mehrabi, P., Shariati, M., Kabirifar, K., Jarrah, M., Rasekh, H., Trung, N.T., Shariati, A. and Jahandari, S. (2021), "Effect of pumice powder and nano-clay on the strength and permeability of fiber-reinforced pervious concrete incorporating recycled concrete aggregate", Constr. Build. Mater., 287, 122652. https://doi.org/10.1016/j.conbuildmat.2021.122652.   DOI
126 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., 1-16. https://doi.org/10.1007/s00366-020-01002-1.   DOI
127 Bouafia, K., Selim, M.M., Bourada, F., Bousahla, A.A., Bourada, M., Tounsi, A., Adda Bedia, E. and Tounsi, A. (2021), "Bending and free vibration characteristics of various compositions of FG plates on elastic foundation via quasi 3D HSDT model", Steel Compos. Struct., 41(4), 487-503. https://doi.org/10.12989/scs.2021.41.4.487.   DOI
128 Ebrahimi, F. and Seyfi, A. (2021), "Wave dispersion analysis of embedded MWCNTs-reinforced nanocomposite beams by considering waviness and agglomeration factors", Wave. Random Complex Media, 1-20. https://doi.org/10.1080/17455030.2021.1883148.   DOI
129 Gunasegeran, M. and Edwin Sudhagar, P. (2022), "Free and forced vibration analysis of 3D printed bioinspired sandwich beam using HSDT: Numerical and experimental study", Polym. Compos., 43(6), 3659-3677. https://doi.org/10.1002/pc.26644.   DOI
130 Ebrahimi, F., Karimiasl, M., Civalek, O. and Vinyas, M. (2019c), "Surface effects on scale-dependent vibration behavior of flexoelectric sandwich nanobeams", Adv. Nano Res., 7(2), 77. https://doi.org/10.12989/anr.2019.7.2.077.   DOI
131 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", Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686.   DOI
132 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", Proc. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 232(8), 625-636. https://doi.org/10.1177/1464420716642258.   DOI
133 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.   DOI
134 Naghipour, M., Yousofizinsaz, G. and Shariati, M. (2020), "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., 34(3), 347-359. https://doi.org/10.12989/scs.2020.34.3.347.   DOI
135 White, H. (1992), Artificial Neural Networks: Approximation and Learning Theory, Blackwell Publishers, Inc.
136 Simsek, M. (2015), "Bi-directional functionally graded materials (BDFGMs) for free and forced vibration of Timoshenko beams with various boundary conditions", Compos. Struct., 133, 968-978. https://doi.org/10.1016/j.compstruct.2015.08.021.   DOI
137 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", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1926572.   DOI
138 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. Biomolec. Struct. Dyn., 1-12. https://doi.org/10.1080/07391102.2020.1751297.   DOI
139 Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021c), "Computer simulation via a couple of homotopy perturbation methods and the generalized differential quadrature method for nonlinear vibration of functionally graded non-uniform microtube", Eng. Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.   DOI
140 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", Proc. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323.   DOI
141 Emdadi, M., Mohammadimehr, M. and Navi, B.R. (2019), "Free vibration of an annular sandwich plate with CNTRC facesheets and FG porous cores using Ritz method", Adv. Nano Res., 7(2), 109. https://doi.org/10.12989/anr.2019.7.2.109.   DOI
142 Li, A., Spano, D., Krivochiza, J., Domouchtsidis, S., Tsinos, C.G., Masouros, C., Chatzinotas, S., Li, Y., Vucetic, B. and Ottersten, B. (2020a), "A tutorial on interference exploitation via symbol-level precoding: overview, state-of-the-art and future directions", IEEE Commun. Survey. Tutor., 22(2), 796-839. https://doi.org/10.1109/COMST.2020.2980570.   DOI
143 Li, D.Y., Toghroli, A., Shariati, M., Sajedi, F., Bui, D.T., Kianmehr, P., Mohamad, E.T. and Khorami, M. (2019), "Application of polymer, silica-fume and crushed rubber in the production of Pervious concrete", Smart Struct. Syst., 23(2), 207-214. https://doi.org/10.12989/sss.2019.23.2.207.   DOI
144 Ehyaei, J. and Daman, M. (2017), "Free vibration analysis of double walled carbon nanotubes embedded in an elastic medium with initial imperfection", Adv. Nano Res., 5(2), 179. https://doi.org/10.12989/anr.2017.5.2.179.   DOI
145 Eringen, A.C. and Edelen, D. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248. https://doi.org/10.1016/0020-7225(72)90039-0.   DOI
146 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. Bas. Des. Struct. Mach., 47(5), 521-545. https://doi.org/10.1080/15397734.2019.1566743.   DOI
147 Faraji Oskouie, M., Ansari, R. and Rouhi, H. (2021), "Bending analysis of nanoscopic beams based upon the strain-driven and stress-driven integral nonlocal strain gradient theories", J. Brazil. Soc. Mech. Sci. Eng., 43(3), 1-14. https://doi.org/10.1007/s40430-020-02782-9.   DOI
148 Shah, S.N.R., Sulong, N.H.R., Jumaat, M.Z. and Shariati, M. (2016a), "State-of-the-art review on the design and performance of steel pallet rack connections", Eng. Fail. Anal., 66, 240-258. https://doi.org/10.1016/j.engfailanal.2016.04.017.   DOI
149 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. Bas. Des. Struct. Mach., 50(7), 2471-2492. https://doi.org/10.1080/15397734.2020.1779086.   DOI
150 Liu, C., Wu, D., Li, Y. and Du, Y. (2021a), "Large-scale pavement roughness measurements with vehicle crowdsourced data using semi-supervised learning", Transp. Res. Part C: Emerg. Technol., 125, 103048. https://doi.org/10.1016/j.trc.2021.103048.   DOI
151 Yu, X., Maalla, A. and Moradi, Z. (2022), "Electroelastic high-order computational continuum strategy for critical voltage and frequency of piezoelectric NEMS via modified multi-physical couple stress theory", Mech. Syst. Signal Pr., 165, 108373. https://doi.org/10.1016/j.ymssp.2021.108373.   DOI
152 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., 9(4), 295-307. https://doi.org/10.12989/anr.2020.9.4.295.   DOI
153 Heydari, A. and Shariati, M. (2018), "Buckling analysis of tapered BDFGM nano-beam under variable axial compression resting on elastic medium", Struct. Eng. Mech., 66(6), 737-748. https://doi.org/10.12989/sem.2018.66.6.737.   DOI
154 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., 74(1), 145-156. https://doi.org/10.12989/sem.2020.74.1.145.   DOI
155 Zhang, C., Mousavi, A.A., Masri, S.F., Gholipour, G., Yan, K. and Li, X. (2022), "Vibration feature extraction using signal processing techniques for structural health monitoring: A review", Mech. Syst. Signal Pr., 177, 109175. https://doi.org/10.1016/j.ymssp.2022.109175.   DOI
156 Zhang, H., Liu, Y. and Deng, Y. (2021a), "Temperature gradient modeling of a steel box-girder suspension bridge using Copulas probabilistic method and field monitoring", Adv. Struct. Eng., 24(5), 947-961. https://doi.org/10.1177/1369433220971779.   DOI
157 Ghannadpour, S. and Moradi, F. (2019), "Nonlocal nonlinear analysis of nano-graphene sheets under compression using semi-Galerkin technique", Adv. Nano Res., 7(5), 311-324. https://doi.org/10.12989/anr.2019.7.5.311.   DOI
158 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", Wave. Random Complex Media, 1-27. https://doi.org/10.1080/17455030.2019.1662968.   DOI
159 He, Z., Shi, X., Li, E. and Li, X. (2020), "Elastic properties and multi-scale design of long carbon fiber nonwoven reinforced plane-based isotropic composite", Compos. Struct., 251, 112657. https://doi.org/10.1016/j.compstruct.2020.112657.   DOI
160 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.   DOI
161 Huang, X., Hao, H., Oslub, K., Habibi, M. and Tounsi, A. (2021b), "Dynamic stability/instability simulation of the rotary size-dependent functionally graded microsystem", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.   DOI
162 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., 1-19.
163 Huang, H., Huang, M., Zhang, W. and Yang, S. (2021a), "Experimental study of predamaged columns strengthened by HPFL and BSP under combined load cases", Struct. Infrastr. Eng., 17(9), 1210-1227. https://doi.org/10.1080/15732479.2020.1801768.   DOI
164 Zhang, W., Tang, Z., Yang, Y., Wei, J. and Stanislav, P. (2021b), "Mixed-mode debonding behavior between CFRP plates and concrete under fatigue loading", J. Struct. Eng., 147(5), 04021055. https://doi.org/10.1061/(ASCE)ST.1943-541X.0003032.   DOI
165 Zhang, Y., Wang, Z., Tazeddinova, D., Ebrahimi, F., Habibi, M. and Safarpour, H. (2021c), "Enhancing active vibration control performances in a smart rotary sandwich thick nanostructure conveying viscous fluid flow by a PD controller", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1948627.   DOI
166 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., 1-23. https://doi.org/10.1007/s00366-020-01242-1.   DOI
167 Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021d), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 1-13. https://doi.org/10.1007/s00366-021-01320-y.   DOI
168 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., 1-15. https://doi.org/10.1007/s00366-021-01391-x.   DOI
169 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.   DOI
170 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.   DOI
171 Salari, F.E.E. (2016), "Thermal loading effects on electromechanical vibration behavior of piezoelectrically actuated inhomogeneous size-dependent Timoshenko nanobeams", Adv. Nano Res., 4(3), 197. https://doi.org/10.12989/anr.2016.4.3.197.   DOI
172 Li, J., Tang, F. and Habibi, M. (2020b), "Bi-directional thermal buckling and resonance frequency characteristics of a GNP-reinforced composite nanostructure", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01110-y.   DOI
173 Li, Y., Che, P., Liu, C., Wu, D. and Du, Y. (2021b), "Cross-scene pavement distress detection by a novel transfer learning framework", Comput. Aid. Civil Infrastr. Eng., 36(11), 1398-1415. https://doi.org/10.1111/mice.12674.   DOI
174 Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020c), "On the modeling of bending responses of graphene-reinforced higher order annular plate via two-dimensional continuum mechanics approach", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-020-01166-w.   DOI
175 Liu, H., Shen, S., Oslub, K., Habibi, M. and Safarpour, H. (2021b), "Amplitude motion and frequency simulation of a composite viscoelastic microsystem within modified couple stress elasticity", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01316-8.   DOI