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http://dx.doi.org/10.12989/cac.2022.30.4.243

Bending and buckling of spinning FG nanotubes based on NSGT  

Zhang, Liang (Institute of Intelligent Manufacturing, Guangdong Academy of Sciences)
Ko, Tzu-Hsing (Fujian Provincial Key Laboratory of Featured Materials in Biochemical Industry, College of Chemistry and Materials, Ningde Normal University)
Publication Information
Computers and Concrete / v.30, no.4, 2022 , pp. 243-256 More about this Journal
Abstract
The static analysis of spinning functionally graded (FG) nanotube on the basis of the nonlocal strain gradient theory (NSGT) is presented. The high-order beam theory is employed for mathematical modeling of the tube structures according to the Sinusoidal shear deformation beam theory. The energy conservation principle is operated to generate the equations. The centrifugal force is assumed along the tube length due to the rotating of the tube, moreover, the nanotube is made of functionally graded material (FGM) composed of ceramic and metal phases along the tube radius direction. The generalized differential quadratic method (GDQM) is utilized to solve the formulations. Finally, the numerical results are discussed in detail to examine the impact of different relevant parameters on the bending the buckling behavior of the rotating nanotube.
Keywords
bending analysis; buckling behavior; functionally graded materials; nanotubes nonlocal strain gradient theory;
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Times Cited By KSCI : 9  (Citation Analysis)
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1 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
2 Bellman, R., Kashef, B.G. and Casti, J. (1972), "Differential quadrature: a technique for the rapid solution of nonlinear partial differential equations", J. Comput. Phys., 10(1), 40-52. https://doi.org/10.1016/0021-9991(72)90089-7.   DOI
3 Chen, F., Chen, J., Duan, R., Habibi, M. and Khadimallah, M.A. (2022a), "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
4 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., 50(4), 1-24. https://doi.org/10.1080/15397734.2020.1744005.   DOI
5 Daghigh, H., Daghigh, V., Milani, A., Tannant, D., Lacy, T.E. and Reddy, J.N. (2020), "Nonlocal bending and buckling of agglomerated CNT-Reinforced composite nanoplates", Compos. Part B. Eng., 183, 107716. https://doi.org/10.1016/j.compositesb.2019.107716.   DOI
6 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
7 Guo, S., He, Y., Liu, D., Lei, J. and Li, Z. (2018), "Dynamic transverse vibration characteristics and vibro-buckling analyses of axially moving and rotating nanobeams based on nonlocal strain gradient theory", Microsyst. Technol., 24(2), 963-977. 10.1007/s00542-017-3441-6.   DOI
8 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. https://doi.org/10.1007/s00366-021-01456-x.   DOI
9 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., 1-17. https://doi.org/10.1007/s00366-021-01399-3.   DOI
10 Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021c), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 38(4), 3137-3149. https://doi.org/10.1007/s00366-021-01320-y.   DOI
11 Jalaei, M.H., Arani, A.G. and Nguyen-Xuan, H. (2019), "Investigation of thermal and magnetic field effects on the dynamic instability of FG Timoshenko nanobeam employing nonlocal strain gradient theory", Int. J. Mech. Sci., 161, 105043. https://doi.org/10.1016/j.ijmecsci.2019.105043.   DOI
12 Jena, S.K., Chakraverty, S., Malikan, M. and Mohammad-Sedighi, H. (2020), "Hygro-magnetic vibration of the single-walled carbon nanotube with nonlinear temperature distribution based on a modified beam theory and nonlocal strain gradient model", Int. J. Appl. Mech., 12(05), 2050054. 10.1142/S1758825120500544.   DOI
13 Guo, Y., Mi, H. and Habibi, M. (2021c), "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
14 Habibi, M., Hashemi, R., Tafti, M.F. and Assempour, A. (2018), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manuf. Proc., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
15 Ghadiri, M., Shafiei, N. and Safarpour, H. (2017e), "Influence of surface effects on vibration behavior of a rotary functionally graded nanobeam based on Eringen's nonlocal elasticity", Microsyst. Technol., 23(4), 1045-1065. https://doi.org/10.1007/s00542-016-2822-6.   DOI
16 Guo, J., Gao, J., Xiao, C., Chen, L. and Qian, L. (2022), "Mechanochemical reactions of GaN-Al2O3 interface at the nanoasperity contact: Roles of crystallographic polarity and ambient humidity", Friction, 10(7), 1005-1018. https://doi.org/10.1007/s40544-021-0501-9.   DOI
17 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
18 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
19 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
20 Habibi, M., Hashemabadi, D. and Safarpour, H. (2019), "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
21 Jiao, J., Ghoreishi, S.M., Moradi, Z. and Oslub, K. (2022), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., 38(3), 2499-2513. https://doi.org/10.1007/s00366-021-01391-x.   DOI
22 Klingeler, R., Hampel, S. and Buchner, B. (2008), "Carbon nanotube based biomedical agents for heating, temperature sensoring and drug delivery", Int. J. Hyperth., 24(6), 496-505. https://doi.org/10.1080/02656730802154786.   DOI
23 Li, C., Jiang, T., Liu, S. and Han, Q. (2022a), "Dispersion and band gaps of elastic guided waves in the multi-scale periodic composite plates", Aerosp. Sci. Technol., 124, 107513. https://doi.org/10.1016/j.ast.2022.107513.   DOI
24 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., 1-22. https://doi.org/10.1007/s00366-020-01166-w.   DOI
25 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
26 Hao-nan, L., Cheng, L., Ji-ping, S. and Lin-quan, Y. (2021), "Vibration analysis of rotating functionally graded piezoelectric nanobeams based on the nonlocal elasticity theory", J. Vib. Eng. Technol., 9(6), 1155-1173. https://doi.org/10.1007/s42417-021-00288-9.   DOI
27 Hao, R.B., Lu, Z.Q., Ding, H. and Chen, L.Q. (2022), "A nonlinear vibration isolator supported on a flexible plate: analysis and experiment", Nonlin. Dyn., 108(2), 941-958. https://doi.org/10.1007/s11071-022-07243-7.   DOI
28 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, 31(6), 1-27. https://doi.org/10.1080/17455030.2019.1662968.   DOI
29 Li, Z., He, X., Zhang, C., Wang, X., Zhang, S., Jia, Y., ... and Jin, C. (2022), "Superconductivity above 200 K discovered in superhydrides of calcium", Nat. Commun., 13(1), 1-5. https://doi.org/10.1038/s41467-022-30454-w.   DOI
30 Liu, J., Mao, S., Song, S., Huang, L., Belfiore, L.A. and Tang, J. (2021c), "Towards applicable photoacoustic micro-fluidic pumps: Tunable excitation wavelength and improved stability by fabrication of Ag-Au alloying nanoparticles", J. Alloys Compd., 884, 161091. https://doi.org/10.1016/j.jallcom.2021.161091.   DOI
31 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., 50(11), 1-25. https://doi.org/10.1080/15397734.2020.1815544.   DOI
32 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
33 Ma, L., Liu, X. and Moradi, Z. (2022), "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
34 Shi, X., Li, J. and Habibi, M. (2022), "On the statics and dynamics of an electro-thermo-mechanically porous GPLRC nanoshell conveying fluid flow", Mech. Bas. Des. Struct. Mach., 50(6), 2147-2183. https://doi.org/10.1080/15397734.2020.1772088.   DOI
35 Wang, P., Gao, Z., Pan, F., Moradi, Z., Mahmoudi, T. and Khadimallah, M.A. (2022), "A couple of GDQM and iteration techniques for the linear and nonlinear buckling of bi-directional 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.   DOI
36 Farajpour, A., Ghayesh, M.H. and Farokhi, H. (2019b), "Super and subcritical nonlinear nonlocal analysis of NSGT nanotubes conveying nanofluid", Microsyst. Technol., 25(12), 4693-4707. https://doi.org/10.1007/s00542-019-04442-y.   DOI
37 Ghadiri, M., Mahinzare, M., Shafiei, N. and Ghorbani, K. (2017a), "On size-dependent thermal buckling and free vibration of circular FG Microplates in thermal environments", Microsyst. Technol., 23(10), 4989-5001. https://doi.org/10.1007/s00542-017-3308-x.   DOI
38 Shivanian, E., Ghadiri, M. and Shafiei, N. (2017), "Influence of size effect on flapwise vibration behavior of rotary microbeam and its analysis through spectral meshless radial point interpolation", Appl. Phys. A, 123(5), 329. https://doi.org/10.1007/s00339-017-0955-9.   DOI
39 Shu, C. (2012), Differential Quadrature and its Application in Engineering, Springer Science & Business Media.
40 Thai, H.T. (2012), "A nonlocal beam theory for bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 52, 56-64. https://doi.org/10.1016/j.ijengsci.2011.11.011.   DOI
41 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), 1-14. https://doi.org/10.1080/15376494.2020.1824284.   DOI
42 Xu, H., He, T., Zhong, N., Zhao, B. and Liu, Z. (2022a), "Transient thermomechanical analysis of micro cylindrical asperity sliding contact of SnSbCu alloy", Tribol. Int., 167, 107362. https://doi.org/10.1016/j.triboint.2021.107362.   DOI
43 Yan, J., Jiao, H., Pu, W., Shi, C., Dai, J. and Liu, H. (2022), "Radar sensor network resource allocation for fused target tracking: A brief review", Inf. Fusion., 86-87, 104-115. https://doi.org/10.1016/j.inffus.2022.06.009.   DOI
44 Ebrahimi, F., Hashemabadi, D., Habibi, M. and Safarpour, H. (2020), "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
45 Chen, Z., He, X., Ge, J., Fan, G., Zhang, L., Parvez, A.M. and Wang, G. (2022b), "Controllable fabrication of nanofibrillated cellulose supported HKUST-1 hierarchically porous membranes for highly efficient removal of formaldehyde in air", Ind. Crop. Prod., 186, 115269. https://doi.org/10.1016/j.indcrop.2022.115269.   DOI
46 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
47 Ebrahimi, F., Habibi, M. and Safarpour, H. (2019), "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
48 Ghadiri, M. and Shafiei, N. (2016c), "Vibration analysis of rotating functionally graded Timoshenko microbeam based on modified couple stress theory under different temperature distributions", Acta Astronaut., 121, 221-240. https://doi.org/10.1016/j.actaastro.2016.01.003.   DOI
49 Ghadiri, M., Shafiei, N. and Akbarshahi, A. (2016b), "Influence of thermal and surface effects on vibration behavior of nonlocal rotating Timoshenko nanobeam", Appl. Phys. A, 122(7), 673. https://doi.org/10.1007/s00339-016-0196-3.   DOI
50 Ghadiri, M., Shafiei, N. and Alavi, H. (2017b), "Thermo-mechanical vibration of orthotropic cantilever and propped cantilever nanoplate using generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(8), 636-646. https://doi.org/10.1080/15376494.2016.1196770.   DOI
51 Zhao, J., Gao, J., Li, W., Qian, Y., Shen, X., Wang, X., ... & Jin, C. (2021), "A combinatory ferroelectric compound bridging simple ABO3 and A-site-ordered quadruple perovskite", Nat. Commun., 12(1), 747. https://doi.org/10.1038/s41467-020-20833-6.   DOI
52 Yayli, M.O. (2019), "Free vibration analysis of a rotationally restrained (FG) nanotube", Microsyst. Technol., 25(10), 3723-3734. https://doi.org/10.1007/s00542-019-04307-4.   DOI
53 Zhang, J., Wang, X., Zhou, L., Liu, G., Adroja, D. T., da Silva, I., ... and Jin, C.Zhang, J., Wang, X., Zhou, L., Liu, G., Adroja, D. T., da Silva, I., ... & Jin, C. (2022), "A ferrotoroidic candidate with well-separated spin chains", Adv. Mater., 34(12), 2106728. https://doi.org/10.1002/adma.202106728.   DOI
54 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", Wave. Random Complex Media, 1-24. https://doi.org/10.1080/17455030.2021.1948627.   DOI
55 Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2022), "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
56 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
57 Eringen, A.C. and Edelen, D.G.B. (1972), "On nonlocal elasticity", Int. J. Eng. Sci., 10(3), 233-248. https://doi.org/10.1016/0020-7225(72)90039-0.   DOI
58 Ghadiri, M., Shafiei, N. and Babaei, R. (2017d), "Vibration of a rotary FG plate with consideration of thermal and Coriolis effects", Steel Compos. Struct., 25(2), 197-207. https://doi.org/10.12989/SCS.2017.25.2.197.   DOI
59 Ghadiri, M., Shafiei, N. and Alavi, H. (2017c), "Vibration analysis of a rotating nanoplate using nonlocal elasticity theory", J. Solid Mech., 9(2), 319-337.
60 Ghadiri, M., Shafiei, N. and Alireza Mousavi, S. (2016c), "Vibration analysis of a rotating functionally graded tapered microbeam based on the modified couple stress theory by DQEM", Appl. Phys. A, 122(9), 837. https://doi.org/10.1007/s00339-016-0364-5.   DOI
61 Ghadiri, M., Hosseini, S.H.S. and Shafiei, N. (2016a), "A power series for vibration of a rotating nanobeam with considering thermal effect", Mech. Adv. Mater. Struct., 23(12), 1414-1420. https://doi.org/10.1080/15376494.2015.1091527.   DOI
62 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
63 Farajpour, A., Ghayesh, M.H. and Farokhi, H. (2019a), "Large-amplitude coupled scale-dependent behaviour of geometrically imperfect NSGT nanotubes", Int. J. Mech. Sci., 150, 510-525. https://doi.org/10.1016/j.ijmecsci.2018.09.043.   DOI
64 Feng, Y., Zhang, B., Liu, Y., Niu, Z., Dai, B., Fan, Y. and Chen, X. (2021), "A 200-225-GHz manifold-coupled multiplexer utilizing metal waveguides", IEEE Trans. Microw. Theory Tech., 69(12), 5327-5333. https://doi.org/10.1109/tmtt.2021.3119316.   DOI
65 Ghadiri, M. and Shafiei, N. (2016a), "Nonlinear bending vibration of a rotating nanobeam based on nonlocal Eringen's theory using differential quadrature method", Microsyst. Technol., 22(12), 2853-2867. https://doi.org/10.1007/s00542-015-2662-9.   DOI
66 Ghadiri, M. and Shafiei, N. (2016b), "Vibration analysis of a nano-turbine blade based on Eringen nonlocal elasticity applying the differential quadrature method", J. Vib. Control, 23(19), 3247-3265. https://doi.org/10.1177/1077546315627723.   DOI
67 Ghadiri, M., Shafiei, N., Salekdeh, S.H., Mottaghi, P. and Mirzaie, T. (2016d), "Investigation of the dental implant geometry effect on stress distribution at dental implant-bone interface", J. Brazil. Soc. Mech. Sci. Eng., 38(2), 335-343. https://doi.org/10.1007/s40430-015-0472-8.   DOI
68 Ebrahimi, F., Shafiei, N., Kazemi, M. and Mousavi Abdollahi, S.M. (2017), "Thermo-mechanical vibration analysis of rotating nonlocal nanoplates applying generalized differential quadrature method", Mech. Adv. Mater. Struct., 24(15), 1257-1273. https://doi.org/10.1080/15376494.2016.1227499.   DOI
69 Ebrahimi, F. and Shafiei, N. (2016), "Application of Eringen's nonlocal elasticity theory for vibration analysis of rotating functionally graded nanobeams", Smart Struct. Syst., 17(5), 837-857. https://doi.org/10.12989/sss.2016.17.5.837.   DOI
70 Ebrahimi, F. and Shafiei, N. (2017), "Influence of initial shear stress on the vibration behavior of single-layered graphene sheets embedded in an elastic medium based on Reddy's higher-order shear deformation plate theory", Mech. Adv. Mater. Struct., 24(9), 761-772. https://doi.org/10.1080/15376494.2016.1196781.   DOI
71 Naderi, A., Behdad, S. and Fakher, M. (2022), "Size dependent effects of two phase viscoelastic medium on damping vibrations of smart nanobeams: an efficient implementation of GDQM", Smart Mater. Struct., 31(4), 045007. https://doi.org/10.1088/1361-665x/ac5456.   DOI
72 Mirjavadi, S.S., Matin, A., Shafiei, N., Rabby, S. and Mohasel Afshari, B. (2017b), "Thermal buckling behavior of two-dimensional imperfect functionally graded microscale-tapered porous beam", J. Therm. Stress., 40(10), 1201-1214. https://doi.org/10.1080/01495739.2017.1332962.   DOI
73 Mirjavadi, S.S., Mohasel Afshari, B., Shafiei, N., Rabby, S. and Kazemi, M. (2017c), "Effect of temperature and porosity on the vibration behavior of two-dimensional functionally graded micro-scale Timoshenko beam", J. Vib. Control, 24(18), 4211-4225. https://doi.org/10.1177/1077546317721871.   DOI
74 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.   DOI
75 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: Seminumerical and finite element modeling", Thin Wall. Struct., 159, 107242. https://doi.org/10.1016/j.tws.2020.107242.   DOI
76 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
77 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
78 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
79 Azimi, M., Mirjavadi, S.S., Shafiei, N. and Hamouda, A.M.S. (2016), "Thermo-mechanical vibration of rotating axially functionally graded nonlocal Timoshenko beam", Appl. Phys. A, 123(1), 104. https://doi.org/10.1007/s00339-016-0712-5.   DOI
80 Bellman, R. and Casti, J. (1971), "Differential quadrature and long-term integration", J. Math. Anal. Appl., 34(2), 235-238. https://doi.org/10.1016/0022-247X(71)90110-7.   DOI
81 Khaniki, H.B. (2019), "On vibrations of FG nanobeams", Int. J. Eng. Sci., 135 23-36. https://doi.org/10.1016/j.ijengsci.2018.11.002.   DOI
82 Hong, T., Guo, S., Jiang, W. and Gong, S. (2022), "Highly selective frequency selective surface with ultrawideband rejection", IEEE Trans. Antennas Propag., 70(5), 3459-3468. https://doi.org/10.1109/TAP.2021.3137453.   DOI
83 Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021b), "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(3), 2481-2498. https://doi.org/10.1007/s00366-021-01395-7.   DOI
84 Jalaei, M.H. and Civalek, Ӧ. (2019), "On dynamic instability of magnetically embedded viscoelastic porous FG nanobeam", Int. J. Eng. Sci., 143, 14-32. https://doi.org/10.1016/j.ijengsci.2019.06.013.   DOI
85 Li, J., Tang, F. and Habibi, M. (2020a), "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
86 Li, Y.S., Ma, P. and Wang, W. (2015), "Bending, buckling, and free vibration of magnetoelectroelastic nanobeam based on nonlocal theory", J. Intell. Mater. Syst. Struct., 27(9), 1139-1149. 10.1177/1045389X15585899.   DOI
87 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., 1-15. https://doi.org/10.1007/s00366-021-01316-8.   DOI
88 Yang, H.D., Tufa, L.T., Bae, K.M. and Kang, T.J. (2015), "A tubing shaped, flexible thermal energy harvester based on a carbon nanotube sheet electrode", Carbon, 86, 118-123. https://doi.org/10.1016/j.carbon.2015.01.037.   DOI
89 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., 1-16. https://doi.org/10.1007/s00366-021-01419-2.   DOI
90 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.   DOI
91 Yang, J. and Shen, H.S. (2002), "Vibration characteristics and transient response of shear-deformable functionally graded plates in thermal environments", J. Sound Vib., 255(3), 579-602. https://doi.org/10.1006/jsvi.2001.4161.   DOI
92 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
93 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
94 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016c), "Nonlinear vibration of axially functionally graded tapered microbeams", Int. J. Eng. Sci., 102, 12-26. https://doi.org/10.1016/j.ijengsci.2016.02.007.   DOI
95 Zhang, X., Shamsodin, M., Wang, H., NoormohammadiArani, O., Khan, A.M., Habibi, M. and Al-Furjan, M. (2020), "Dynamic information of the time-dependent tobullian biomolecular structure using a high-accuracy size-dependent theory", J. Biomol. Struct. Dyn., 39(9), 1-16. https://doi.org/10.1080/07391102.2020.1760939.   DOI
96 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016a), "Comparison of modeling of the rotating tapered axially functionally graded Timoshenko and Euler-Bernoulli microbeams", Phys. E: Low Dimens. Syst. Nanostruct., 83, 74-87. https://doi.org/10.1016/j.physe.2016.04.011.   DOI
97 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016b), "Nonlinear vibration behavior of a rotating nanobeam under thermal stress using Eringen's nonlocal elasticity and DQM", Appl. Phys. A., 122(8), 728. https://doi.org/10.1007/s00339-016-0245-y.   DOI
98 Shafiei, N., Mirjavadi, S.S., Afshari, B.M., Rabby, S. and Hamouda, A.M.S. (2017c), "Nonlinear thermal buckling of axially functionally graded micro and nanobeams", Compos. Struct., 168, 428-439. https://doi.org/10.1016/j.compstruct.2017.02.048.   DOI
99 Shafiei, N., Kazemi, M. and Ghadiri, M. (2016d), "On size-dependent vibration of rotary axially functionally graded microbeam", Int. J. Eng. Sci., 101, 29-44. https://doi.org/10.1016/j.ijengsci.2015.12.008.   DOI
100 Shafiei, N., Kazemi, M., Safi, M. and Ghadiri, M. (2016e), "Nonlinear vibration of axially functionally graded non-uniform nanobeams", Int. J. Eng. Sci., 106, 77-94. https://doi.org/10.1016/j.ijengsci.2016.05.009.   DOI
101 Shokrgozar, A., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2022), "Viscoelastic dynamics and static responses of a graphene nanoplatelets-reinforced composite cylindrical microshell", Mech. Bas. Des. Struct. Mach., 50(2), 509-536. https://doi.org/10.1080/15397734.2020.1719509.   DOI
102 Shu, C. and Richards, B.E. (1992), "Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations", Int. J. Numer. Meth. Fluid., 15(7), 791-798. https://doi.org/10.1002/fld.1650150704.   DOI
103 Mirjavadi, S.S., Rabby, S., Shafiei, N., Afshari, B.M. and Kazemi, M. (2017d), "On size-dependent free vibration and thermal buckling of axially functionally graded nanobeams in thermal environment", Appl. Phys. A, 123(5), 315. https://doi.org/10.1007/s00339-017-0918-1.   DOI
104 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), 1-12. https://doi.org/10.1080/07391102.2020.1751297.   DOI
105 Ehyaei, J., Akbarshahi, A. and Shafiei, N. (2017), "Influence of porosity and axial preload on vibration behavior of rotating FG nanobeam", Adv. Nano Res., 5(2), 141. https://doi.org/10.12989/anr.2017.5.2.141.   DOI
106 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., 50(8), 1-26. https://doi.org/10.1080/15397734.2020.1784201.   DOI
107 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
108 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
109 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
110 Naderi, A., Fakher, M. and Hosseini-Hashemi, S. (2021), "On the local/nonlocal piezoelectric nanobeams: Vibration, buckling, and energy harvesting", Mech. Syst. Signal Pr., 151, 107432. https://doi.org/10.1016/j.ymssp.2020.107432.   DOI
111 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", Sci. Rep., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.   DOI
112 Reddy, J.N. (2007), "Nonlocal theories for bending, buckling and vibration of beams", Int. J. Eng. Sci., 45(2), 288-307. https://doi.org/10.1016/j.ijengsci.2007.04.004.   DOI
113 Shafiei, N., Hamisi, M. and Ghadiri, M. (2020), "Vibration analysis of rotary tapered axially functionally graded Timoshenko nanobeam in thermal environment", J. Solid Mech., 12(1), 16-32.
114 Ma, H.M., Gao, X.L. and Reddy, J.N. (2008), "A microstructure-dependent Timoshenko beam model based on a modified couple stress theory", J. Mech. Phys. Solids., 56(12), 3379-3391. https://doi.org/10.1016/j.jmps.2008.09.007.   DOI
115 Ma, W.L., Li, X.F. and Lee, K.Y. (2020), "Third-order shear deformation beam model for flexural waves and free vibration of pipes", J. Acoust. Soc. Am., 147(3), 1634-1647. https://doi.org/10.1121/10.0000855.   DOI
116 Mirjavadi, S.S., Afshari, B.M., Shafiei, N., Hamouda, A., Kazemi, M. and Structures, C. (2017a), "Thermal vibration of two-dimensional functionally graded (2D-FG) porous Timoshenko nanobeams", Steel Compos. Struct., 25(4), 415-426. https://doi.org/10.12989/scs.2017.25.4.415.   DOI
117 Shafiei, N. and Kazemi, M. (2017a), "Buckling analysis on the bi-dimensional functionally graded porous tapered nano-/micro-scale beams", Aerosp. Sci. Technol., 66, 1-11. https://doi.org/10.1016/j.ast.2017.02.019.   DOI
118 Shafiei, N. and Kazemi, M. (2017b), "Nonlinear buckling of functionally graded nano-/micro-scaled porous beams", Compos. Struct., 178, 483-492. https://doi.org/10.1016/j.compstruct.2017.07.045.   DOI
119 Shafiei, N., Kazemi, M. and Fatahi, L. (2017b), "Transverse vibration of rotary tapered microbeam based on modified couple stress theory and generalized differential quadrature element method", Mech. Adv. Mater. Struct., 24(3), 240-252. https://doi.org/10.1080/15376494.2015.1128025.   DOI
120 Safarpour, H., Pourghader, J. and Habibi, M. (2019), "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
121 Shafiei, N., Ghadiri, M. and Mahinzare, M. (2019), "Flapwise bending vibration analysis of rotary tapered functionally graded nanobeam in thermal environment", Mech. Adv. Mater. Struct., 26(2), 139-155. https://doi.org/10.1080/15376494.2017.1365982.   DOI
122 Shafiei, N., Ghadiri, M., Makvandi, H. and Hosseini, S.A. (2017a), "Vibration analysis of nano-rotor's blade applying eringen nonlocal elasticity and generalized differential quadrature method", Appl. Math. Model., 43, 191-206. https://doi.org/10.1016/j.apm.2016.10.061.   DOI
123 Mohammadi, M., Safarabadi, M., Rastgoo, A. and Farajpour, A. (2016), "Hygro-mechanical vibration analysis of a rotating viscoelastic nanobeam embedded in a visco-Pasternak elastic medium and in a nonlinear thermal environment", Acta Mech., 227(8), 2207-2232. https://doi.org/10.1007/s00707-016-1623-4.   DOI
124 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
125 Naderi, A., Behdad, S., Fakher, M. and Hosseini-Hashemi, S. (2020), "Vibration analysis of mass nanosensors with considering the axial-flexural coupling based on the two-phase local/nonlocal elasticity", Mech. Syst. Signal Pr., 145, 106931. https://doi.org/10.1016/j.ymssp.2020.106931.   DOI
126 Wang, Y.Z. and Li, F.M. (2012), "Static bending behaviors of nanoplate embedded in elastic matrix with small scale effects", Mech. Res. Commun., 41, 44-48. https://doi.org/10.1016/j.mechrescom.2012.02.008.   DOI
127 Sun, D., Huo, J., Chen, H., Dong, Z. and Ren, R. (2022), "Experimental study of fretting fatigue in dovetail assembly considering temperature effect based on damage mechanics method", Eng. Fail. Anal., 131, 105812. https://doi.org/10.1016/j.engfailanal.2021.105812.   DOI
128 Thai, H.T. and Vo, T.P. (2012), "A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams", Int. J. Eng. Sci., 54, 58-66. https://doi.org/10.1016/j.ijengsci.2012.01.009.   DOI
129 Uzun, B., Yayli, M.O. and Deliktas, B. (2020), "Free vibration of FG nanobeam using a finite-element method", Micro Nano Lett., 15(1), 35-40. https://doi.org/10.1049/mnl.2019.0273.   DOI
130 Wang, Z., Dai, L., Yao, J., Guo, T., Hrynsphan, D., Tatsiana, S. and Chen, J. (2021), "Improvement of Alcaligenes sp.TB performance by Fe-Pd/multi-walled carbon nanotubes: Enriched denitrification pathways and accelerated electron transport", Bioresour. Technol., 327, 124785. https://doi.org/10.1016/j.biortech.2021.124785.   DOI
131 Wu, J. and Habibi, M. (2021), "Dynamic simulation of the ultra-fast-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
132 Xi, Y., Jiang, W., Wei, K., Hong, T., Cheng, T. and Gong, S. (2022), "Wideband rcs reduction of microstrip antenna array using coding metasurface with low Q resonators and fast optimization method", IEEE Antennas Wirel. Propag. Lett., 21(4), 656-660. https://doi.org/10.1109/LAWP.2021.3138241.   DOI
133 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
134 Shafiei, N., Mirjavadi, S.S., MohaselAfshari, B., Rabby, S. and Kazemi, M. (2017d), "Vibration of two-dimensional imperfect functionally graded (2D-FG) porous nano-/micro-beams", Comput. Meth. Appl. Mech. Eng., 322, 615-632. https://doi.org/10.1016/j.cma.2017.05.007.   DOI
135 Shafiei, N., Mousavi, A. and Ghadiri, M. (2016f), "On size-dependent nonlinear vibration of porous and imperfect functionally graded tapered microbeams", Int. J. Eng. Sci., 106, 42-56. https://doi.org/10.1016/j.ijengsci.2016.05.007.   DOI
136 Shafiei, N., Mousavi, A. and Ghadiri, M. (2016g), "Vibration behavior of a rotating non-uniform FG microbeam based on the modified couple stress theory and GDQEM", Compos. Struct., 149, 157-169. https://doi.org/10.1016/j.compstruct.2016.04.024.   DOI
137 Xu, K.D., Weng, X., Li, J., Guo, Y.J., Wu, R., Cui, J. and Chen, Q. (2022b), "60-GHz third-order on-chip bandpass filter using GaAs pHEMT technology", Semicond. Sci. Technol., 37(5), 055004. https://doi.org/10.1088/1361-6641/ac5bf8.   DOI
138 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.   DOI
139 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 twodimensional analysis", Thin Wall. Struct., 157, 107111. https://doi.org/10.1016/j.tws.2020.107111.   DOI
140 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
141 Azimi, M., Mirjavadi, S.S., Shafiei, N., Hamouda, A.M.S. and Davari, E. (2018), "Vibration of rotating functionally graded Timoshenko nano-beams with nonlinear thermal distribution", Mech. Adv. Mater. Struct., 25(6), 467-480. https://doi.org/10.1080/15376494.2017.1285455.   DOI
142 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "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
143 Shafiei, N. and She, G.L. (2018), "On vibration of functionally graded nano-tubes in the thermal environment", Int. J. Eng. Sci., 133, 84-98. https://doi.org/10.1016/j.ijengsci.2018.08.004.   DOI
144 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
145 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020a), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707.   DOI
146 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. Fiber. Fabric., 16, 15589250211052766. https://doi.org/10.1177/15589250211052766.   DOI
147 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 multi-layer symmetric nanosystem using multi-physics modeling", Eng. Comput., 1-22. https://doi.org/10.1007/s00366-021-01433-4.   DOI
148 Guo, J., Xiao, C., Gao, J., Li, G., Wu, H., Chen, L. and Qian, L. (2021b), "Interplay between counter-surface chemistry and mechanical activation in mechanochemical removal of N-faced GaN surface in humid ambient", Tribol. Int., 159, 107004. https://doi.org/10.1016/j.triboint.2021.107004.   DOI