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http://dx.doi.org/10.12989/gae.2022.28.5.477

Resonance frequency and stability of composite micro/nanoshell via deep neural network trained by adaptive momentum-based approach  

Yan, Yunrui (College of Material science and Nanoengineering, Rice University)
Publication Information
Geomechanics and Engineering / v.28, no.5, 2022 , pp. 477-491 More about this Journal
Abstract
In the present study, the effects of thermal loading on the buckling and resonance frequency of graphene platelets (GPL) reinforced nano-composites are examined. Functionally graded (FG) material properties are considered in thickness direction for the thermal responses of the composite. The equivalent material properties are obtained using Halphin-Tsai nano-mechanical model for composite layers. Moreover, the effects of nano-scale sizes are taken into account, employing functionally modified couple stress (FMCS) parameter. In this regard, for the first time, it is demonstrated that at certain values of GPL weight fraction, thermal buckling occurs. In obtaining results of vibrational behavior, both analytical solution and deep neural network (DNN) methods are used. The DNN method needs low computational costs to predict the resonance behavior. A comprehensive parametric study is conducted to indicate the effects of several geometrical, material, and loading conditions on the vibrational and buckling behavior of cylindrical shell structures made of GPL-nanocomposites. It is shown that the effect of temperature change on the occurrence of buckling is vital while it has a negligible impact on the resonance frequency of the structure. Moreover, the size-dependency of the results is demonstrated, and it cannot be neglected in nano-scales.
Keywords
graphene nano-platelet; modified couple stress parameter; resonance frequency; thermal buckling; various thermal distributions;
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81 Moayedi, H., Ebrahimi, F., Habibi, M., Safarpour, H. and Foong, L.K. (2020c), "Application of nonlocal strain-stress gradient theory and GDQEM for thermo-vibration responses of a laminated composite nanoshell", Eng. with Comput., 1-16. https://doi.org/10.1007/s00366-020-01002-1.   DOI
82 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., 113146. https://doi.org/10.1016/j.compstruct.2020.113146.   DOI
83 Abualnour, M., Chikh, A., Hebali, H., Kaci, A., Tounsi, A., Bousahla Abdelmoumen, A. and Tounsi, A. (2019), "Thermomechanical analysis of antisymmetric laminated reinforced composite plates using a new four variable trigonometric refined plate theory", Comput. Concrete, 24(6), 489-498. https://doi.org/10.12989/cac.2019.24.6.489.   DOI
84 De Domenico, D. and Askes, H. (2018), "Stress gradient, strain gradient and inertia gradient beam theories for the simulation of flexural wave dispersion in carbon nanotubes", Compos. Part B: Eng., 153, 285-294. https://doi.org/10.1016/j.compositesb.2018.08.083.   DOI
85 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. with Comput., 1-17. https://doi.org/10.1007/s00366-021-01399-3.   DOI
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87 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., 1-29. https://doi.org/10.1080/15397734.2020.1828098.   DOI
88 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., 1-24. https://doi.org/10.1080/15397734.2020.1744005.   DOI
89 Bousahla Abdelmoumen, A., Bourada, F., Mahmoud, S.R., Tounsi, A., Algarni, A., Bedia, E.A.A. and Tounsi, A. (2020a), "Buckling and dynamic behavior of the simply supported CNT-RC beams using an integral-first shear deformation theory", Comput. Concrete, 25(2), 155-166. https://doi.org/10.12989/cac.2020.25.2.155.   DOI
90 Challamel, N., Aydogdu, M. and Elishakoff, I. (2018), "Statics and dynamics of nanorods embedded in an elastic medium: Nonlocal elasticity and lattice formulations", Eur. J. Mech.- A/Solids, 67 254-271. https://doi.org/10.1016/j.euromechsol.2017.09.009.   DOI
91 Dai, Z., Jiang, Z., Zhang, L. and Habibi, M. (2021b), "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
92 De Domenico, D., Askes, H. and Aifantis, E.C. (2019), "Gradient elasticity and dispersive wave propagation: Model motivation and length scale identification procedures in concrete and composite laminates", Int. J. Solids Struct., 158, 176-190. https://doi.org/10.1016/j.ijsolstr.2018.09.007.   DOI
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95 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., 1-27. https://doi.org/10.1080/15397734.2020.1824795.   DOI
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98 Zhang, W., Liu, Z., Liang, Z., Oslub, K. and Safarpour, H. (2021), "A comprehensive computer simulation of the size-dependent sector or complete microsystem via two-dimensional generalized differential quadrature method", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-021-01440-5.   DOI
99 Zhao, H., Wang, L., Issakhov, A. and Safarpour, H. (2021), "Poroelasticity framework for stress/strain responses of the multi-phase circular/annular systems resting on various types of elastic foundations", Eur. Phys. J. Plus, 136(8), 1-44. https://doi.org/10.1140/epjp/s13360-021-01761-w.   DOI
100 Ding, H., Bao, X., Jamili-Shirvan, Z., Jin, J., Deng, L., Yao, K., Gong, P. and Wang, X. (2021), "Enhancing strength-ductility synergy in an ex situ Zr-based metallic glass composite via nanocrystal formation within high-entropy alloy particles", Mater. Design, 210, 110108. https://doi.org/10.1016/j.matdes.2021.110108.   DOI
101 Ebrahimi, F., Habibi, M. and Safarpour, H. (2019a), "On modeling of wave propagation in a thermally affected GNP-reinforced imperfect nanocomposite shell", Eng. with Comput., 35(4), 1375-1389. https://doi.org/10.1007/s00366-018-0669-4   DOI
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107 Safarpour, M., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "Frequency characteristics of FG-GPLRC viscoelastic thick annular plate with the aid of GDQM", Thin-Wall. Struct., 150, 106683. https://doi.org/10.1016/j.tws.2020.106683.   DOI
108 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. with Comput., https://doi.org/10.1007/s00366-021-01320-y.   DOI
109 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 microtube", Eng. with Comput., 1-18. https://doi.org/10.1007/s00366-021-01395-7.   DOI
110 Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. with Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.   DOI
111 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.   DOI
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113 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020d), "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
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115 Zhong, P.F., Lin, H.M., Wang, L.W., Mo, Z.Y., Meng, X.J., Tang, H.T. and Pan, Y.M. (2020), "Electrochemically enabled synthesis of sulfide imidazopyridines via a radical cyclization Cascade", Green Chemistry, https://doi.org/10.1039/D0GC02125C.   DOI
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117 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
118 Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020s), "Vibration control of a smart shell reinforced by graphene nanoplatelets under external load: Semi-numerical and finite element modeling", Thin-Wall. Struct., 107242. https://doi.org/10.1016/j.tws.2020.107242.   DOI
119 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
120 Al-Furjan, M., Habibi, M., Won Jung, D. and Safarpour, H. (2020q), "Vibrational characteristics of a higher-order laminated composite viscoelastic annular microplate via modified couple stress theory", Compos. Struct., 113152. https://doi.org/10.1016/j.compstruct.2020.113152.   DOI
121 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. 10.22034/JSM.2019.665264.   DOI
122 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., 1-12. https://doi.org/10.1080/07391102.2020.1751297.   DOI
123 Ni, T., Liu, D., Xu, Q., Huang, Z., Liang, H. and Yan, A. (2020a), "Architecture of cobweb-based redundant TSV for clustered faults", IEEE T. Very Large Scale Integration (VLSI) Systems, 28(7), 1736-1739. 10.1109/TVLSI.2020.2995094   DOI
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126 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.   DOI
127 Peng, D., Chen, S., Darabi, R., Ghabussi, A. and Habibi, M. (2021), "Prediction of the bending and out-of-plane loading effects on formability response of the steel sheets", Arch. Civil Mech. Eng., 21(2), 74. https://doi.org/10.1007/s43452-021-00227-1.   DOI
128 Shi, M., Wang, F., Lan, P., Zhang, Y., Zhang, M., Yan, Y. and Liu, Y. (2021), "Effect of ultrasonic intensity on structure and properties of wheat starch-monoglyceride complex and its influence on quality of norther-style Chinese steamed bread", LWT, 138, 110677. https://doi.org/10.1016/j.lwt.2020.110677.   DOI
129 Shi, X., Li, J. and Habibi, M. (2020), "On the statics and dynamics of an electro-thermo-mechanically porous GPLRC nanoshell conveying fluid flow", Mech. Based Des. Struct., 1-37. https://doi.org/10.1080/15397734.2020.1772088   DOI
130 Tounsi, A., Al-Dulaijan, S., Al-Osta, M.A., Chikh, A., Al-Zahrani, M., Sharif, A. and Tounsi, A. (2020), "A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation", Steel Compos. Struct., 34(4), 511-524. https://doi.org/10.12989/scs.2020.34.4.511.   DOI
131 Wang, H., Zhang, H., Dousti, R. and Safarpour, H. (2021), "Dynamic simulation of moderately thick annular system coupled with shape memory alloy and multi-phase nanocomposite face sheets", Eng. with Comput., 1-24. https://doi.org/10.1007/s00366-020-01246-x.   DOI
132 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., 114395. https://doi.org/10.1016/j.compstruct.2021.114395.   DOI
133 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.   DOI
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135 Safarpour, H., Hajilak, Z.E. and Habibi, M. (2019), "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. Design, 15(3), 569-583.   DOI
136 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
137 Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020b), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. with Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9.   DOI
138 Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020v), "Wave propagation simulation in an electrically open shell reinforced with multi-phase nanocomposites", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-020-01167-9.   DOI
139 Al-Furjan, M.S.H., Dehini, R., Paknahad, M., Habibi, M. and Safarpour, H. (2021b), "On the nonlinear dynamics of the multi-scale 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.   DOI
140 Alimirzaei, S., Mohammadimehr, M. and Tounsi, A. (2019), "Nonlinear analysis of viscoelastic micro-composite beam with geometrical imperfection using FEM: MSGT electro-magnetoelastic bending, buckling and vibration solutions", Struct. Eng. Mech., 71(5), 485-502. https://doi.org/10.12989/sem.2019.71.5.485.   DOI
141 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.   DOI
142 SafarPour, H. and Ghadiri, M. (2017a), "Critical rotational speed, critical velocity of fluid flow and free vibration analysis of a spinning SWCNT conveying viscous fluid", Microfluidics and Nanofluidics, 21(2), 22. https://doi.org/10.1007/s10404-017-1858-y   DOI
143 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.   DOI
144 SafarPour, H., Hosseini, M. and Ghadiri, M. (2017b), "Influence of three-parameter viscoelastic medium on vibration behavior of a cylindrical nonhomogeneous microshell in thermal environment: An exact solution", J. Therm. Stresses, 40(11), 1353-1367. https://doi.org/10.1080/01495739.2017.1350827.   DOI
145 Shokrgozar, A., Safarpour, H. and Habibi, M. (2020b), "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: Journal of Mechanical Engineering Science, 234(2), 512-529. https://doi.org/10.1177/0954406219883312.   DOI
146 Shariati, A., Ghabussi, A., Habibi, M., Safarpour, H., Safarpour, M., Tounsi, A. and Safa, M. (2020a), "Extremely large oscillation and nonlinear frequency of a multi-scale hybrid disk resting on nonlinear elastic foundation", Thin-Wall. Struct., 154, 106840. https://doi.org/10.1016/j.tws.2020.106840.   DOI
147 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 in Random and Complex Media, 1-27. https://doi.org/10.1080/17455030.2019.1662968.   DOI
148 Al-Furjan, M., Habibi, M., Ni, J., Won Jung, D. and Tounsi, A. (2020k), "Frequency simulation of viscoelastic multi-phase reinforced fully symmetric systems", Eng. with Comput., 1-17. https://doi.org/10.1007/s00366-020-01200-x.   DOI
149 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.   DOI
150 Habibi, M., Mohammadi, A., Safarpour, H., Shavalipour, A. and Ghadiri, M. (2019c), "Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator", Mech. Based Des. Struct., 1-19. https://doi.org/10.1080/15397734.2019.1697932.   DOI
151 Huo, J., Zhang, G., Ghabussi, A. and Habibi, M. (2021), "Bending analysis of FG-GPLRC axisymmetric circular/annular sector plates by considering elastic foundation and horizontal friction force using 3D-poroelasticity theory", Compos. Struct., 114438. https://doi.org/10.1016/j.compstruct.2021.114438.   DOI
152 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
153 Al-Furjan, M., Habibi, M., Won Jung, D., Safarpour, H. and Safarpour, M. (2020r), "On the buckling of the polymer-CNT-fiber nanocomposite annular system under thermo-mechanical loads", Mech. Based Des. Struct., 1-21. https://doi.org/10.1080/15397734.2020.1830106.   DOI