Browse > Article
http://dx.doi.org/10.12989/anr.2022.12.1.081

A machine learning-based model for the estimation of the critical thermo-electrical responses of the sandwich structure with magneto-electro-elastic face sheet  

Zhou, Xiao (College of science, Hubei University of Automotive Technology)
Wang, Pinyi (Department of Electrical and Computer Engineering, University of Washington Seattle)
Al-Dhaifallah, Mujahed (Control and Instrumentation Engineering Department, King Fahd University of Petroleum & Minerals)
Rawa, Muhyaddin (Center of Research Excellence in Renewable Energy and Power Systems, King Abdulaziz University)
Khadimallah, Mohamed Amine (Prince Sattam Bin Abdulaziz University, College of Engineering, Civil Engineering Department)
Publication Information
Advances in nano research / v.12, no.1, 2022 , pp. 81-99 More about this Journal
Abstract
The aim of current work is to evaluate thermo-electrical characteristics of graphene nanoplatelets Reinforced Composite (GNPRC) coupled with magneto-electro-elastic (MEE) face sheet. In this regard, a cylindrical smart nanocomposite made of GNPRC with an external MEE layer is considered. The bonding between the layers are assumed to be perfect. Because of the layer nature of the structure, the material characteristics of the whole structure is regarded as graded. Both mechanical and thermal boundary conditions are applied to this structure. The main objective of this work is to determine critical temperature and critical voltage as a function of thermal condition, support type, GNP weight fraction, and MEE thickness. The governing equation of the multilayer nanocomposites cylindrical shell is derived. The generalized differential quadrature method (GDQM) is employed to numerically solve the differential equations. This method is integrated with Deep Learning Network (DNN) with ADADELTA optimizer to determine the critical conditions of the current sandwich structure. This the first time that effects of several conditions including surrounding temperature, MEE layer thickness, and pattern of the layers of the GNPRC is investigated on two main parameters critical temperature and critical voltage of the nanostructure. Furthermore, Maxwell equation is derived for modeling of the MEE. The outcome reveals that MEE layer, temperature change, GNP weight function, and GNP distribution patterns GNP weight function have significant influence on the critical temperature and voltage of cylindrical shell made from GNP nanocomposites core with MEE face sheet on outer of the shell.
Keywords
critical temperature; critical voltage; deep learning network; graphene nanoplatelets; neural network;
Citations & Related Records
Times Cited By KSCI : 27  (Citation Analysis)
연도 인용수 순위
1 Shariati, M., Sulong, N.R. and Khanouki, M.A. (2012), "Experimental assessment of channel shear connectors under monotonic and fully reversed cyclic loading in high strength concrete", Mater Des., 34, 325-331. https://doi.org/10.1016/j.matdes.2011.08.008.   DOI
2 Shariati, M., Sulong, N.R., Shariati, A. and Khanouki, M.A. (2016a), "Behavior of V-shaped angle shear connectors: experimental and parametric study", Mater. Struct., 49(9), 3909-3926. https://doi.org/10.1617/s11527-015-0762-8.   DOI
3 Shariati, M., Sulong, N.R., Shariati, A. and Kueh, A. (2016b), "Comparative performance of channel and angle shear connectors in high strength concrete composites: An experimental study", Constr. Build. Mater., 120, 382-392. https://doi.org/10.1016/j.conbuildmat.2016.05.102.   DOI
4 Ghabussi, A., Habibi, M., NoormohammadiArani, O., Shavalipour, A., Moayedi, H. and Safarpour, H. (2020), "Frequency characteristics of a viscoelastic graphene nanoplatelet-reinforced composite circular microplate", J. Vib. Control., 1077546320923930. https://doi.org/10.1177/1077546320923930.   DOI
5 Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2019b), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Based Des. Struct., 1-30. https://doi.org/10.1080/15397734.2019.1701490.   DOI
6 Huang, X., Zhu, Y., Vafaei, P., Moradi, Z. and Davoudi, M. (2021b), "An iterative simulation algorithm for large oscillation of the applicable 2D-electrical system on a complex nonlinear substrate", Eng. Comput., 1-13. https://doi.org/10.1007/s00366-021-01320-y.   DOI
7 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
8 Ebrahimi, F. and Salari, E. (2019f), "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
9 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), 179-192. https://doi.org/10.12989/anr.2017.5.2.179.   DOI
10 Fan, J., Huang, J., Ding, J. and Zhang, J. (2017), "Free vibration of functionally graded carbon nanotube-reinforced conical panels integrated with piezoelectric layers subjected to elastically restrained boundary conditions", Adv. Mech. Eng., 9(7), 1687814017711811. https://doi.org/10.1177/1687814017711811.   DOI
11 Al-Furjan, M., Habibi, M., won Jung, D. and Safarpour, H. (2020e), "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
12 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., 113146. https://doi.org/10.1016/j.compstruct.2020.113146.   DOI
13 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
14 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., 112990. https://doi.org/10.1016/j.compstruct.2020.112990.   DOI
15 Al-Furjan, M., Moghadam, S.A., Dehini, R., Shan, L., Habibi, M. and Safarpour, H. (2020f), "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
16 Al-Furjan, M., Oyarhossein, M.A., Habibi, M., Safarpour, H. and Jung, D.W. (2020g), "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
17 Mohammadimehr, M., Okhravi, S. and Akhavan Alavi, S. (2018), "Free vibration analysis of magneto-electro-elastic cylindrical composite panel reinforced by various distributions of CNTs with considering open and closed circuits boundary conditions based on FSDT", J. Vib. Control., 24(8), 1551-1569. https://doi.org/10.1016/j.ymssp.2017.07.041.   DOI
18 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., 1-24. https://doi.org/10.1016/j.tws.2020.106669.   DOI
19 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. Dynam., 1-12. https://doi.org/10.1080/07391102.2020.1751297.   DOI
20 Nasihatgozar, M. and Khalili, S. (2017), "Free vibration of a thick sandwich plate using higher order shear deformation theory and DQM for different boundary conditions", J. Appl. Comput. Mech., 3(1), 16-24. https://doi.org/10.22055/JACM.2017.12548.   DOI
21 Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020i), "Prediction of concrete strength in presence of furnace slag and fly ash using Hybrid ANN-GA (Artificial Neural Network-Genetic Algorithm)", Smart Struct. Syst., 25(2), 183-195. https://doi.org/10.12989/sss.2020.25.2.183.   DOI
22 Zhang, L., Chen, Z., Habibi, M., Ghabussi, A. and Alyousef, R. (2021a), "Low-velocity impact, resonance, and frequency responses of FG-GPLRC viscoelastic doubly curved panel", Compos. Struct., 269, 114000. https://doi.org/10.1016/j.compstruct.2021.114000.   DOI
23 Ninh, D.G. and Bich, D.H. (2018), "Characteristics of nonlinear vibration of nanocomposite cylindrical shells with piezoelectric actuators under thermo-mechanical loads", Aerosp. Sci. Technol., 77, 595-609. https://doi.org/10.1016/j.ast.2018.04.008.   DOI
24 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
25 Yang, J., Wu, H. and Kitipornchai, S. (2017), "Buckling and postbuckling of functionally graded multilayer graphene platelet-reinforced composite beams", Compos. Struct., 161, 111-118. https://doi.org/10.1016/j.compstruct.2016.11.048.   DOI
26 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 Proc., 165, 108373. https://doi.org/10.1016/j.ymssp.2021.108373.   DOI
27 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
28 Zhang, W., Liu, Z., Liang, Z., Oslub, K. and Safarpour, H. (2021b), "A comprehensive computer simulation of the size-dependent sector or complete microsystem via two-dimensional generalized differential quadrature method", Eng. Comput., 1-17. https://doi.org/10.1007/s00366-021-01440-5.   DOI
29 Shariati, M., Davoodnabi, S.M., Toghroli, A., Kong, Z. and Shariati, A. (2021a), "Hybridization of metaheuristic algorithms with adaptive neuro-fuzzy inference system to predict load-slip behavior of angle shear connectors at elevated temperatures", Compos. Struct., 114524. https://doi.org/10.1016/j.compstruct.2021.114524.   DOI
30 Shariati, M., Naghipour, M., Yousofizinsaz, G., Toghroli, A. and Tabarestani, N.P. (2020j), "Numerical study on the axial compressive behavior of built-up CFT columns considering different welding lines", Steel Compos. Struct., 34(3), 377-391. http://doi.org/10.12989/scs.2020.34.3.377.   DOI
31 Shariati, M., Shariati, A., Trung, N.T., Shoaei, P., Ameri, F., Bahrami, N. and Zamanabadi, S.N. (2021b), "Alkali-activated slag (AAS) paste: Correlation between durability and microstructural characteristics", Constr. Build. Mater., 267, 120886. https://doi.org/10.1016/j.conbuildmat.2020.120886.   DOI
32 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
33 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/j.tws.2020.107111.   DOI
34 Bellman, R., Kashef, B. 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
35 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), 109-123. https://doi.org/10.12989/anr.2019.7.2.109.   DOI
36 Shi, G., Araby, S., Gibson, C.T., Meng, Q., Zhu, S. and Ma, J. (2018), "Graphene platelets and their polymer composites: Fabrication, structure, properties, and applications", Adv. Funct. Mater., 28(19), 1706705. https://doi.org/10.1016/j.apm.2018.04.015.   DOI
37 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
38 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. Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9.   DOI
39 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020c), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials, 13(7), 1707. https://doi.org/10.3390/ma13071707.   DOI
40 Shariati, M., Azar, S.M., Arjomand, M.A., Tehrani, H.S., Daei, M. and Safa, M. (2020e), "Evaluating the impacts of using piles and geosynthetics in reducing the settlement of fine-grained soils under static load", Geomech. Eng., 20(2), 87-101. https://doi.org/10.12989/gae.2020.20.2.087.   DOI
41 Esmailpoor Hajilak, Z., Pourghader, J., Hashemabadi, D., Sharifi Bagh, F., Habibi, M. and Safarpour, H. (2019), "Multilayer GPLRC composite cylindrical nanoshell using modified strain gradient theory", Mech. Based Des. Struct., 47(5), 521-545. https://doi.org/10.1080/15397734.2019.1566743.   DOI
42 Fang, J. and Zhou, D. (2017), "Free vibration analysis of rotating mindlin plates with variable thickness", Int. J. Struct. Stabil. Dynam., 17(4), 1750046. https://doi.org/10.1142/S0219455417500468.   DOI
43 Song, M., Kitipornchai, S. and Yang, J. (2017), "Free and forced vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets", Compos. Struct., 159, 579-588. https://doi.org/10.1016/j.compstruct.2016.09.070.   DOI
44 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
45 Shu, C. (2012), Differential Quadrature and Its Application in Engineering, Springer Science & Business Media.
46 Singh, V.K. and Panda, S.K. (2017), "Geometrical nonlinear free vibration analysis of laminated composite doubly curved shell panels embedded with piezoelectric layers", J. Vib. Control., 23(13), 2078-2093. https://doi.org/10.1177/1099636215577363.   DOI
47 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
48 Zhang, X., Shamsodin, M., Wang, H., NoormohammadiArani, O., Khan, A.M., Habibi, M. and Al-Furjan, M. (2021c), "Dynamic information of the time-dependent tobullian biomolecular structure using a high-accuracy size-dependent theory", J. Biomol. Struct. Dynam., 39(9), 3128-3143. https://doi.org/10.1080/07391102.2020.1760939.   DOI
49 Feng, C., Kitipornchai, S. and Yang, J. (2017), "Nonlinear bending of polymer nanocomposite beams reinforced with non-uniformly distributed graphene platelets (GPLs)", Compos. Part B Eng., 110, 132-140. https://doi.org/10.1016/j.compositesb.2016.11.024.   DOI
50 Ghadiri, M. and Safarpour, H. (2016a), "Free vibration analysis of embedded magneto-electro-thermo-elastic cylindrical nanoshell based on the modified couple stress theory", Appl. Phys. A., 122(9), 1-11. https://doi.org/10.1007/s00339-016-0365-4.   DOI
51 Ghazanfari, A., Soleimani, S.S., Keshavarzzadeh, M., Habibi, M., Assempuor, A. and Hashemi, R. (2020), "Prediction of FLD for sheet metal by considering through-thickness shear stresses", Mech. Based Des. Struct., 48(6), 755-772. https://doi.org/10.1080/15397734.2019.1662310.   DOI
52 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
53 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), 1-11. https://doi.org/10.12989/anr.2013.1.1.001.   DOI
54 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 Chem., 22(19), 6334-6339. https://doi.org/10.1039/D0GC02125C.   DOI
55 Zhu, C.S., Fang, X.Q., Liu, J.X. and Li, H.Y. (2017), "Surface energy effect on nonlinear free vibration behavior of orthotropic piezoelectric cylindrical nano-shells", Eur. J. Mech. A Solid., 66, 423-432. https://doi.org/10.1016/j.compstruct.2021.114000.   DOI
56 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
57 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), 281-301. https://doi.org/10.12989/anr.2017.5.4.281.   DOI
58 Khalili, S. and Mohammadi, Y. (2012), "Free vibration analysis of sandwich plates with functionally graded face sheets and temperature-dependent material properties: A new approach", Eur. J. Mech. A Solid., 35, 61-74. https://doi.org/10.1007/s00366-021-01395-7.   DOI
59 Zeiler, M.D. (2012), "Adadelta: An adaptive learning rate method", arXiv preprint arXiv:1212.5701. https://doi.org/arXiv preprint arXiv:1212.5701.
60 Shariati, M., Ghorbani, M., Naghipour, M., Alinejad, N. and Toghroli, A. (2020f), "The effect of RBS connection on energy absorption in tall buildings with braced tube frame system", Steel Compos. Struct., 34(3), 393-407. https://doi.org/10.12989/scs.2020.34.3.393.   DOI
61 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., 113599. https://doi.org/10.1016/j.compstruct.2021.113599.   DOI
62 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), 77-88. https://doi.org/10.12989/anr.2019.7.2.077.   DOI
63 Habibi, M., Taghdir, A. and Safarpour, H. (2019d), "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
64 Checchetto, R., Miotello, A., Nicolais, L. and Carotenuto, G. (2014), "Gas transport through nanocomposite membrane composed by polyethylene with dispersed graphite nanoplatelets", J. Membr. Sci., 463, 196-204. https://doi.org/10.1016/j.memsci.2014.03.065.   DOI
65 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
66 Dai, H. and Safarpour, H. (2021a), "Frequency and thermal buckling information of laminated composite doubly curved open nanoshell", Adv. Nano Res., 10(1), 1-14. https://doi.org/10.12989/anr.2021.10.1.001.   DOI
67 Dehshahri, K., Nejad, M.Z., Ziaee, S., Niknejad, A. and Hadi, A. (2020), "Free vibrations analysis of arbitrary threedimensionally FGM nanoplates", Adv. Nano Res., 8(2), 115-134. https://doi.org/10.12989/anr.2020.8.2.115.   DOI
68 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
69 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
70 Liu, D., Kitipornchai, S., Chen, W. and Yang, J. (2018), "Three-dimensional buckling and free vibration analyses of initially stressed functionally graded graphene reinforced composite cylindrical shell", Compos. Struct., 189, 560-569. https://doi.org/10.1016/j.compstruct.2018.01.106.   DOI
71 Mahinzare, M., Ranjbarpur, H. and Ghadiri, M. (2018), "Free vibration analysis of a rotary smart two directional functionally graded piezoelectric material in axial symmetry circular nanoplate", Mech. Syst. Signal Proc., 100, 188-207. https://doi.org/10.1016/j.ymssp.2017.07.041.   DOI
72 Rajasekaran, S. (2009), Structural Dynamics of Earthquake Engineering: Theory and Application Using MATHEMATICA and MATLAB, Elsevier.
73 Kheibari, F. and Beni, Y.T. (2017), "Size dependent electromechanical vibration of single-walled piezoelectric nanotubes using thin shell model", Mater. Des., 114, 572-583. https://doi.org/10.1016/j.apm.2018.04.015.   DOI
74 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., 1-27. https://doi.org/10.1080/17455030.2019.1694729.   DOI
75 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
76 Jermsittiparsert, K., Ghabussi, A., Forooghi, A., Shavalipour, A., Habibi, M., won Jung, D. and Safa, M. (2020), "Critical voltage, thermal buckling and frequency characteristics of a thermally affected GPL reinforced composite microdisk covered with piezoelectric actuator", Mech. Based Des. Struct., 1-23. https://doi.org/10.1080/15397734.2020.1748052.   DOI
77 Ke, L., Wang, Y. and Reddy, J. (2014b), "Thermo-electromechanical vibration of size-dependent piezoelectric cylindrical nanoshells under various boundary conditions", Compos. Struct., 116, 626-636. https://doi.org/10.1016/j.compstruct.2014.05.048.   DOI
78 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
79 Pourmoayed, A., Fard, K.M. and Shahravi, M. (2017), "Vibration analysis of a cylindrical sandwich panel with flexible core using an improved higher-order theory", Latin Am. J. Solid Struct., 14(4), 714-742. http://dx.doi.org/10.1590/1679-78253410.   DOI
80 Rafiee, M.A., Rafiee, J., Wang, Z., Song, H., Yu, Z.Z. and Koratkar, N. (2009), "Enhanced mechanical properties of nano-composites at low graphene content", ACS Nano, 3(12), 3884-3890. https://doi.org/10.1021/nn9010472.   DOI
81 Guo, Y., Mi, H. and Habibi, M. (2021), "Electromechanical energy absorption, resonance frequency, and low-velocity impact analysis of the piezoelectric doubly curved system", Mech. Syst. Signal Proc., 157, 107723. https://doi.org/10.1016/j.ymssp.2021.107723.   DOI
82 Habibi, M., Hashemi, R., Ghazanfari, A., Naghdabadi, R. and Assempour, A. (2018a), "Forming limit diagrams by including the M-K model in finite element simulation considering the effect of bending", Proceedings of the Institution of Mechanical Engineers, Part L: Journal of Materials: Design and Applications, 232(8), 625-636. https://doi.org/10.1177/1464420716642258.   DOI
83 Liu, Y., Wang, W., He, T., Moradi, Z. and Larco Benitez, M.A. (2021b), "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/10.1080/15397734.2020.1779086.   DOI
84 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
85 Ebrahimi, F. and Safarpour, H. (2018), "Vibration analysis of inhomogeneous nonlocal beams via a modified couple stress theory incorporating surface effects", Wind Struct., 27(6), 431-438. https://doi.org/10.12989/was.2018.27.6.431.   DOI
86 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
87 Eftekhar, H., Zeynali, H. and Nasihatgozar, M. (2018), "Electro-magneto temperature-dependent vibration analysis of functionally graded-carbon nanotube-reinforced piezoelectric Mindlin cylindrical shells resting on a temperature-dependent, orthotropic elastic medium", Mech. Adv. Mater. Struct., 25(1), 1-14. https://doi.org/10.12989/anr.2019.7.2.077.   DOI
88 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
89 Ghabussi, A., Ashrafi, N., Shavalipour, A., Hosseinpour, A., Habibi, M., Moayedi, H., Babaei, B. and Safarpour, H. (2019), "Free vibration analysis of an electro-elastic GPLRC cylindrical shell surrounded by viscoelastic foundation using modified length-couple stress parameter", Mech. Based Des. Struct., 1-25. https://doi.org/10.1080/15397734.2019.1705166.   DOI
90 Ghadiri, M. and Safarpour, H. (2016b), "Free vibration analysis of embedded magneto-electro-thermo-elastic cylindrical nanoshell based on the modified couple stress theory", Appl. Phys. A., 122(9), 833. https://doi.org/10.1007/s00339-016-0365-4.   DOI
91 Shariati, M., Tahmasbi, F., Mehrabi, P., Bahadori, A. and Toghroli, A. (2020k), "Monotonic behavior of C and L shaped angle shear connectors within steel-concrete composite beams: An experimental investigation", Steel Compos Struct., 35(2), 237-247. http://doi.org/10.12989/scs.2020.35.2.237.   DOI
92 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
93 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. Comput., 1-16. https://doi.org/10.1007/s00366-020-01002-1.   DOI
94 Shojaeefard, M., Mahinzare, M., Safarpour, H., Googarchin, H.S. and Ghadiri, M. (2018), "Free vibration of an ultra-fast-rotating-induced cylindrical nano-shell resting on a Winkler foundation under thermo-electro-magneto-elastic condition", Appl. Math. Modell., 61, 255-279. https://doi.org/10.1016/j.apm.2018.04.015.   DOI
95 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
96 Moayedi, H., Darabi, R., Ghabussi, A., Habibi, M. and Foong, L.K. (2020b), "Weld orientation effects on the formability of tailor welded thin steel sheets", Thin Wall Struct., 149, 106669. https://doi.org/10.1016/j.tws.2020.106669.   DOI
97 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
98 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
99 Habibi, M., Safarpour, M. and Safarpour, H. (2020), "Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods", Mech. Based Des. Struct., 1-22. https://doi.org/10.1080/15397734.2020.1779086.   DOI
100 Habibi, M., Mohammadgholiha, M. and Safarpour, H. (2019a), "Wave propagation characteristics of the electrically GNPreinforced nanocomposite cylindrical shell", J. Brazil. Soc. Mech. Sci. Eng., 41(5), 221. https://doi.org/10.1007/s40430-019-1715-x.   DOI
101 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/10.1080/17455030.2019.1662968.   DOI
102 Wang, Q. (2002), "On buckling of column structures with a pair of piezoelectric layers", Eng. Struct., 24(2), 199-205. https://doi.org/10.1016/S0141-0296(01)00088-8.   DOI
103 Shariati, M., Lagzian, M., Maleki, S., Shariati, A. and Trung, N.T. (2020g), "Evaluation of seismic performance factors for tension-only braced frames", Steel Compos. Struct., 35(4), 599-609. https://doi.org/10.12989/scs.2020.35.4.599.   DOI
104 Shariati, M., Mafipour, M.S., Ghahremani, B., Azarhomayun, F., Ahmadi, M., Trung, N.T. and Shariati, A. (2020h), "A novel hybrid extreme learning machine-grey wolf optimizer (ELMGWO) model to predict compressive strength of concrete with partial replacements for cement", Eng. Comput., 1-23. https://doi.org/10.1007/s00366-020-01081-0.   DOI
105 Al-Furjan, M., Habibi, M., Ghabussi, A., Safarpour, H., Safarpour, M. and Tounsi, A. (2020d), "Non-polynomial framework for stress and strain response of the FG-GPLRC disk using three-dimensional refined higher-order theory", Eng. Struct., 111496. https://doi.org/10.1016/j.engstruct.2020.111496.   DOI
106 Shokrgozar, A., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020a), "Viscoelastic dynamics and static responses of a graphene nanoplatelets-reinforced composite cylindrical microshell", Mech. Based Des. Struct., 1-28. https://doi.org/10.1080/15397734.2020.1719509.   DOI
107 Shu, C. and Richards, B.E. (1992), "Application of generalized differential quadrature to solve two-dimensional incompressible Navier-Stokes equations", Int. J. Numer. Method Fluid, 15(7), 791-798. https://doi.org/10.1002/fld.1650150704.   DOI
108 Sun, J. and Zhao, J. (2018), "Multi-layer graphene reinforced nano-laminated WC-Co composites", Mater. Sci. Eng. A, 723, 1-7. https://doi.org/10.1039/D0GC02125C.   DOI
109 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 nano-composite face sheets", Eng. Comput. 1-24. https://doi.org/10.1007/s00366-020-01246-x.   DOI
110 White, H. (1992), Artificial Neural Networks: Approximation and Learning Theory, Blackwell Publishers, New Jersey, U.S.A.
111 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
112 Zhao, Y., Moradi, Z., Davoudi, M. and Zhuang, J. (2021b), "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
113 Li, Y., Li, S., Guo, K., Fang, X. and Habibi, M. (2020), "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/10.1080/15397734.2020.1779086.   DOI
114 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
115 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. Manufact. Proc., 31, 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
116 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
117 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., 1-27. https://doi.org/10.1080/17455030.2019.1662968.   DOI
118 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
119 Wu, H., Kitipornchai, S. and Yang, J. (2017), "Thermal buckling and postbuckling of functionally graded graphene nano-composite plates", Mater. Des., 132, 430-441. https://doi.org/10.1016/j.matdes.2017.07.025.   DOI
120 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), 163-182. https://doi.org/10.12989/anr.2018.6.2.163.   DOI
121 Ke, L.L., Wang, Y.S., Yang, J. and Kitipornchai, S. (2014a), "The size-dependent vibration of embedded magneto-electro-elastic cylindrical nanoshells", Smart Mater. Struct., 23(12), 125036. https://doi.org/10.1080/17455030.2019.1662968.   DOI
122 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
123 Mohammadi, A., Lashini, H., Habibi, M. and Safarpour, H. (2019a), "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
124 Shariati, M., Faegh, S.S., Mehrabi, P., Bahavarnia, S., Zandi, Y., Masoom, D.R., Toghroli, A., Trung, N.T. and Salih, M.N. (2019), "Numerical study on the structural performance of corrugated low yield point steel plate shear walls with circular openings", Steel Compos. Struct., 33(4), 569-581. https://doi.org/10.12989/scs.2019.33.4.569.   DOI
125 Huang, X., Zhang, Y., Moradi, Z. and Shafiei, N. (2021a), "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
126 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., 1-23. https://doi.org/10.1007/s00366-021-01391-x.   DOI
127 Dehkordi, S.F. and Beni, Y.T. (2017), "Electro-mechanical free vibration of single-walled piezoelectric/flexoelectric nano cones using consistent couple stress theory", Int. J. Mech. Sci., 128, 125-139. https://doi.org/10.1016/j.ijmecsci.2017.04.004.   DOI
128 Razavi, H., Babadi, A.F. and Beni, Y.T. (2017), "Free vibration analysis of functionally graded piezoelectric cylindrical nano-shell based on consistent couple stress theory", Compos. Struct., 160, 1299-1309. https://doi.org/10.1016/j.compstruct.2016.10.056.   DOI
129 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", Microfluid. Nanofluid., 21(2), 22. https://doi.org/10.1007/s10404-017-1858-y.   DOI
130 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
131 Ebrahimi, F., Hajilak, Z.E., Habibi, M. and Safarpour, H. (2019b), "Buckling and vibration characteristics of a carbon nanotube-reinforced spinning cantilever cylindrical 3D shell conveying viscous fluid flow and carrying spring-mass systems under various temperature distributions", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 233(13), 4590-4605. https://doi.org/10.1177/0954406219832323.   DOI
132 Barooti, M.M., Safarpour, H. and Ghadiri, M. (2017), "Critical speed and free vibration analysis of spinning 3D single-walled carbon nanotubes resting on elastic foundations", Eur. Phys. J. Plus, 132(1), 6. https://doi.org/10.1140/epjp/i2017-11275-5.   DOI
133 Alipour, M., Torabi, M.A., Sareban, M., Lashini, H., Sadeghi, E., Fazaeli, A., Habibi, M. and Hashemi, R. (2020), "Finite element and experimental method for analyzing the effects of martensite morphologies on the formability of DP steels", Mech. Based Des. Struct., 48(5), 525-541. https://doi.org/10.1080/15397734.2019.1633343.   DOI
134 Arefi, M. (2018), "Analysis of a doubly curved piezoelectric nano shell: nonlocal electro-elastic bending solution", Eur. J. Mech. A Solid., 70, 226-237. https://doi.org/10.1016/j.euromechsol.2018.02.012.   DOI
135 Azoti, W. and Elmarakbi, A. (2019), "A multiscale approach for the nonlinear mechanical response of 3-phases fiber reinforced graphene nanoplatelets polymer composite materials", Macromol. Theory Simul., 28(4), 1900011. https://doi.org/10.1002/mats.201900011.   DOI
136 Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020a), "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
137 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
138 SafarPour, H., Mohammadi, K., Ghadiri, M. and Rajabpour, A. (2017c), "Influence of various temperature distributions on critical speed and vibrational characteristics of rotating cylindrical microshells with modified lengthscale parameter", Eur. Phys. J. Plus, 132(6), 1-19. https://doi.org/10.1140/epjp/i2017-11551-4.   DOI
139 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
140 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
141 Safarpour, M., Ghabussi, A., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020b), "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
142 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), 197-228. https://doi.org/10.12989/anr.2016.4.3.197.   DOI
143 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
144 Zhao, H., Wang, L., Issakhov, A. and Safarpour, H. (2021a), "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
145 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
146 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. Stress., 40(11), 1353-1367. https://doi.org/10.1080/01495739.2017.1350827.   DOI