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http://dx.doi.org/10.12989/sem.2022.83.2.259

Deep neural networks trained by the adaptive momentum-based technique for stability simulation of organic solar cells  

Xu, Peng (School of Electrical Engineerin, Jilin Engineering Normal University)
Qin, Xiao (School of Electrical Engineerin, Jilin Engineering Normal University)
Zhu, Honglei (Planning Paint Shop Planning Department, FAW-Volkswagen Automotive Co. LTD)
Publication Information
Structural Engineering and Mechanics / v.83, no.2, 2022 , pp. 259-272 More about this Journal
Abstract
The branch of electronics that uses an organic solar cell or conductive organic polymers in order to yield electricity from sunlight is called photovoltaic. Regarding this crucial issue, an artificial intelligence-based predictor is presented to investigate the vibrational behavior of the organic solar cell. In addition, the generalized differential quadrature method (GDQM) is utilized to extract the results. The validation examination is done to confirm the credibility of the results. Then, the deep neural network with fully connected layers (DNN-FCL) is trained by means of Adam optimization on the dataset whose members are the vibration response of the design-points. By determining the optimum values for the biases along with weights of DNN-FCL, one can predict the vibrational characteristics of any organic solar cell by knowing the properties defined as the inputs of the mentioned DNN. To assess the ability of the proposed artificial intelligence-based model in prediction of the vibrational response of the organic solar cell, the authors monitored the mean squared error in different steps of the training the DNN-FCL and they observed that the convergency of the results is excellent.
Keywords
artificial intelligence-based model; discrete singular convolution method; DNN-FCL; Hamilton's principle; organic solar cell;
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83 Salari, F.E.E. (2016), "Thermal loading effects on electro-mechanical vibration behavior of piezoelectrically actuated inhomogeneous size-dependent Timoshenko nanobeams", Adv. Nano Res., 4(3), 197. https://doi.org/10.12989/anr.2016.4.3.197.   DOI
84 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
85 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
86 Safarpour, M., Ebrahimi, F., Habibi, M. and Safarpour, H. (2020), "On the nonlinear dynamics of a multi-scale hybrid nanocomposite disk", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-00949-5.   DOI
87 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Mater., 13(7), 1707. https://doi.org/10.3390/ma13071707.   DOI
88 Shariati, M., Davoodnabi, S.M., Toghroli, A., Kong, Z.Y. and Shariati, A. (2021), "Hybridization of metaheuristic algorithms with adaptive neuro-fuzzy inference system to predict load-slip behavior of angle shear connectors at elevated temperatures", Compos. Struct., 278, 114524. https://doi.org/10.1016/j.compstruct.2021.114524.   DOI
89 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
90 Safa, M., Sari, P.A., Shariati, M., Suhatril, M., Trung, N.T., Wakil, K. and Khorami, M. (2020), "Development of neuro-fuzzy and neuro-bee predictive models for prediction of the safety factor of eco-protection slopes", Physica a-Stat. Mech. Its Appl., 550, 124046. http://doi.org/10.1016/j.physa.2019.124046.   DOI
91 Sahla, M., Saidi, H., Draiche, K., Bousahla, A.A., Bourada, F. and Tounsi, A. (2019), "Free vibration analysis of angle-ply laminated composite and soft core sandwich plates", Steel Compos. Struct., 33(5), 663-679. https://doi.org/10.12989/scs.2019.33.5.663.   DOI
92 Sajedi, F. and Shariati, M. (2019), "Behavior study of NC and HSC RCCs confined by GRP casing and CFRP wrapping", Steel Compos. Struct., 30(5), 417-432. https://doi.org/10.12989/scs.2019.30.5.417.   DOI
93 He, Z., Shi, X., Li, E. and Li, X. (2020), "Elastic properties and multi-scale design of long carbon fiber nonwoven reinforced plane-based isotropic composite", Compos. Struct., 251, 112657. https://doi.org/10.1016/j.compstruct.2020.112657.   DOI
94 Ebrahimi, F., Mohammadi, K., Barouti, M.M. and Habibi, M. (2019d), "Wave propagation analysis of a spinning porous graphene nanoplatelet-reinforced nanoshell", Wave. Random Complex Media, 31(6), 1655-1681. https://doi.org/10.1080/17455030.2019.1694729.   DOI
95 Ebrahimi, F. and Salari, E. (2019), "Effect of non-uniform temperature distributions on nonlocal vibration and buckling of inhomogeneous size-dependent beams", Adv. Nano Res., 6(4), 377. https://doi.org/10.12989/anr.2018.6.4.377.   DOI
96 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
97 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", Pr. Inst. Mech. Eng., Part L: J. Mater.: Des. Appl., 235(8), 1937-1951. https://doi.org/10.1177/14644207211024686.   DOI
98 Katebi, J., Shoaei-parchin, M., Shariati, M., Trung, N.-T. and Khorami, M. (2019), "Developed comparative analysis of metaheuristic optimization algorithms for optimal active control of structures", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-019-00780-7.   DOI
99 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
100 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
101 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
102 Habibi, M., Hashemabadi, D. and Safarpour, H. (2019a), "Vibration analysis of a high-speed rotating GPLRC nanostructure coupled with a piezoelectric actuator", Eur. Phys. J. Plus, 134(6), 307. https://doi.org/10.1140/epjp/i2019-12742-7.   DOI
103 Shariati, M., Faegh, S.S., Mehrabi, P., Bahavarnia, S., Zandi, Y., Masoom, D.R., Toghroli, A., Trung, N.T. and Salih, M.N.A. (2019a), "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
104 Shariati, M., Mafipour, M.S., Mehrabi, P., Ahmadi, M., Wakil, K., Trung, N.T. and Toghroli, A. (2020f), "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
105 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
106 Sedghi, Y., Zandi, Y., Shariati, M., Ahmadi, E., Azar, V.M., Toghroli, A., Safa, M., Mohamad, E.T., Khorami, M. and Wakil, K. (2018), "Application of ANFIS technique on performance of C and L shaped angle shear connectors", Smart Struct. Syst., 22(3), 335-340. https://doi.org/10.12989/sss.2018.22.3.335.   DOI
107 Setoodeh, A. and Rezaei, M. (2017), "Large amplitude free vibration analysis of functionally graded nano/micro beams on nonlinear elastic foundation", Struct. Eng. Mech., 61(2), 209-220. https://doi.org/10.12989/sem.2017.61.2.209.   DOI
108 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
109 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., 38(2), 939-961. https://doi.org/10.1007/s00366-020-01242-1.   DOI
110 Habibi, M., Mohammadi, A., Safarpour, H., Shavalipour, A. and Ghadiri, M. (2019d), "Wave propagation analysis of the laminated cylindrical nanoshell coupled with a piezoelectric actuator", Mech. Bas. Des. Struct. Mach., 49(5), 640-658. https://doi.org/10.1080/15397734.2019.1697932.   DOI
111 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., 1-13. https://doi.org/10.1007/s00366-021-01320-y.   DOI
112 Li, M., Chen, S., Shen, Y., Liu, G., Tsang, I.W. and Zhang, Y. (2022), "Online multi-agent forecasting with interpretable collaborative graph neural networks", IEEE Trans. Neur. Network. Learn. Syst., 1-15. https://doi.org/10.1109/TNNLS.2022.3152251.   DOI
113 Luo, J., Song, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022), "Effect of simultaneous compressive and inertia loads on the bifurcation stability of shear deformable functionally graded annular fabrications reinforced with graphenes", Eur. J. Mech.-A/Solid., 94, 104581. https://doi.org/10.1016/j.euromechsol.2022.104581.   DOI
114 Michael, M., Meyyazhagan, A., Velayudhannair, K., Pappuswamy, M., Maria, A., Xavier, V., Balasubramanian, B., Baskaran, R., Kamyab, H. and Vasseghian, Y. (2022), "The content of heavy metals in cigarettes and the impact of their leachates on the aquatic ecosystem", Sustain., 14(8), 4752. https://doi.org/10.3390/su14084752.   DOI
115 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
116 Wang, Y., Yang, J., Moradi, Z., Safa, M. and Khadimallah, M.A. (2022), "Nonlinear dynamic analysis of thermally deformed beams subjected to uniform loading resting on nonlinear viscoelastic foundation", Eur. J. Mech.-A/Solid., 95, 104638. https://doi.org/10.1016/j.euromechsol.2022.104638.   DOI
117 Shariati, M., Mafipour, M.S., Mehrabi, P., Zandi, Y., Dehghani, D., Bahadori, A., Shariati, A., Trung, N.T., Salih, M.N.A. and Poi-Ngian, S. (2019c), "Application of Extreme Learning Machine (ELM) and Genetic Programming (GP) to design steel-concrete composite floor systems at elevated temperatures", Steel Compos. Struct., 33(3), 319-332. https://doi.org/10.12989/scs.2019.33.3.319.   DOI
118 Trung, N.T., Alemi, N., Haido, J.H., Shariati, M., Baradaran, S. and Yousif, S.T. (2019a), "Reduction of cement consumption by producing smart green concretes with natural zeolites", Smart Struct. Syst., 24(3), 415-425. https://doi.org/10.12989/sss.2019.24.3.415.   DOI
119 Trung, N.T., Shahgoli, A.F., Zandi, Y., Shariati, M., Wakil, K., Safa, M. and Khorami, M. (2019b), "Moment-rotation prediction of precast beam-to-column connections using extreme learning machine", Struct. Eng. Mech., 70(5), 639-647. https://doi.org/10.12989/sem.2019.70.5.639.   DOI
120 Wei, G. (2001), "A new algorithm for solving some mechanical problems", Comput. Meth. Appl. Mech. Eng., 190(15-17), 2017-2030. https://doi.org/10.1016/S0045-7825(00)00219-X.   DOI
121 Wei, G., Zhao, Y. and Xiang, Y. (2001), "The determination of natural frequencies of rectangular plates with mixed boundary conditions by discrete singular convolution", Int. J. Mech. Sci., 43(8), 1731-1746. https://doi.org/10.1016/S0020-7403(01)00021-2.   DOI
122 Wu, C.P., Chen, Y.H., Hong, Z.L. and Lin, C.H. (2018), "Nonlinear vibration analysis of an embedded multi-walled carbon nanotube", Adv. Nano Res., 6(2), 163. https://doi.org/10.12989/anr.2018.6.2.163.   DOI
123 Shariati, M., Trung, N.T., Wakil, K., Mehrabi, P., Safa, M. and Khorami, M. (2019e), "Moment-rotation estimation of steel rack connection using extreme learning machine", Steel Compos. Struct., 31(5), 427-435. https://doi.org/10.12989/scs.2019.31.5.427.   DOI
124 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
125 Safa, M., Shariati, M., Ibrahim, Z., Toghroli, A., Bin Baharom, S., Nor, N.M. and Petkovic, D. (2016), "Potential of adaptive neuro fuzzy inference system for evaluating the factors affecting steel-concrete composite beam's shear strength", Steel Compos. Struct., 21(3), 679-688. http://doi.org/10.12989/scs.2016.21.3.679.   DOI
126 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
127 Shen, H.S., Xiang, Y. and Lin, F. (2017), "Nonlinear vibration of functionally graded graphene-reinforced composite laminated plates in thermal environments", Comput. Meth. Appl. Mech. Eng., 319, 175-193. https://doi.org/10.1016/j.cma.2017.02.029.   DOI
128 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
129 Wu, W. (2021), "Adaptive momentum-based optimization to train deep neural network for computer simulation of hygro-thermo-mechanical vibration performance of laminated plates", Mech. Bas. Des. Struct. Mach., 1-24. https://doi.org/10.1080/15397734.2021.1883442.   DOI
130 Shariati, M., Ramli-Sulong, N.H., Arabnejad, K.H.M.M., Shafigh, P. and Sinaei, H. (2011a), "Assessing the strength of reinforced concrete structures through Ultrasonic Pulse Velocity and Schmidt Rebound Hammer tests", Scientif. Res. Essay., 6(1), 213-220. https://doi.org/10.5897/SRE10.879.
131 Shokrgozar, A., Safarpour, H. and Habibi, M. (2020), "Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator", Pr. Inst. Mech. Eng., Part C: J. Mech. Eng. Sci., 234(2), 512-529. https://doi.org/10.1177/0954406219883312.   DOI
132 Sinaei, H., Jumaat, M.Z. and Shariati, M. (2011), "Numerical investigation on exterior reinforced concrete Beam-Column joint strengthened by composite fiber reinforced polymer (CFRP)", Int. J. Phys. Sci., 6(28), 6572-6579. https://doi.org/10.5897/IJPS11.1225.   DOI
133 Toghroli, A., Mohammadhassani, M., Suhatril, M., Shariati, M. and Ibrahim, Z. (2014), "Prediction of shear capacity of channel shear connectors using the ANFIS model", Steel Compos. Struct., 17(5), 623-639. http://doi.org/10.12989/scs.2014.17.5.623.   DOI
134 Wang, Z., Yu, S., Xiao, Z. and Habibi, M. (2020), "Frequency and buckling responses of a high-speed rotating fiber metal laminated cantilevered microdisk", Mech. Adv. Mater. Struct., 29(10), 1475-1488. https://doi.org/10.1080/15376494.2020.1824284.   DOI
135 Sinaei, H., Shariati, M., Abna, A.H., Aghaei, M. and Shariati, A. (2012), "Evaluation of reinforced concrete beam behaviour using finite element analysis by ABAQUS", Scientif. Res. Essay., 7(21), 2002-2009. https://doi.org/10.5897/SRE11.1393.   DOI
136 Shahabi, S.E.M., Sulong, N.H.R., Shariati, M., Mohammadhassani, M. and Shah, S.N.R. (2016), "Numerical analysis of channel connectors under fire and a comparison of performance with different types of shear connectors subjected to fire", Steel Compos. Struct., 20(3), 651-669. https://doi.org/10.12989/scs.2016.20.3.651.   DOI
137 Toghroli, A., Suhatril, M., Ibrahim, Z., Safa, M., Shariati, M. and Shamshirband, S. (2016), "Potential of soft computing approach for evaluating the factors affecting the capacity of steel-concrete composite beam", J. Intel. Manuf., 29(8), 1793-1801. https://doi.org/10.1007/s10845-016-1217-y.   DOI
138 Zenkour, A.M. and El-Shahrany, H.D. (2021), "Hygrothermal forced vibration of a viscoelastic laminated plate with magnetostrictive actuators resting on viscoelastic foundations", Int. J. Mech. Mater. Des., 17(2), 301-320. https://doi.org/10.1007/s10999-020-09526-6.   DOI
139 Mohammadi, A., Lashini, H., Habibi, M. and Safarpour, H. (2019), "Influence of viscoelastic foundation on dynamic behaviour of the double walled cylindrical inhomogeneous micro shell using MCST and with the aid of GDQM", J. Solid Mech., 11(2), 440-453. https://doi.org/10.22034/JSM.2019.665264.
140 Monaco, G.T., Fantuzzi, N., Fabbrocino, F. and Luciano, R. (2021), "Hygro-thermal vibrations and buckling of laminated nanoplates via nonlocal strain gradient theory", Compos. Struct., 262, 113337. https://doi.org/10.1016/j.compstruct.2020.113337.   DOI
141 Qin, B., Zhong, R., Wu, Q., Wang, T. and Wang, Q. (2019), "A unified formulation for free vibration of laminated plate through Jacobi-Ritz method", Thin Wall. Struct., 144, 106354. https://doi.org/10.1016/j.tws.2019.106354.   DOI
142 Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020c), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry, 12(4), 586. https://doi.org/10.3390/sym12040586.   DOI
143 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
144 Nematollahi, M.S. and Mohammadi, H. (2019), "Geometrically nonlinear vibration analysis of sandwich nanoplates based on higher-order nonlocal strain gradient theory", Int. J. Mech. Sci., 156, 31-45. https://doi.org/10.1016/j.ijmecsci.2019.03.022.   DOI
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146 Oyarhossein, M.A., Alizadeh, A.a., Habibi, M., Makkiabadi, M., Daman, M., Safarpour, H. and Jung, D.W. (2020), "Dynamic response of the nonlocal strain-stress gradient in laminated polymer composites microtubes", Scientif. Report., 10(1), 1-19. https://doi.org/10.1038/s41598-020-61855-w.   DOI
147 Reddy, J.N. (2003), Mechanics of Laminated Composite Plates and Shells: Theory and Analysis, CRC Press
148 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
149 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
150 Milovancevic, M., Marinovic, J.S., Nikolic, J., Kitic, A., Shariati, M., Trung, N.T., Wakil, K. and Khorami, M. (2019), "UML diagrams for dynamical monitoring of rail vehicles", Physica a-Stat. Mech. Its Appl., 531, 121169. https://doi.org/10.1016/j.physa.2019.121169.   DOI
151 Habibi, M., Hashemi, R., Tafti, M.F. and Assempour, A. (2018b), "Experimental investigation of mechanical properties, formability and forming limit diagrams for tailor-welded blanks produced by friction stir welding", J. Manuf. Proc., 31 310-323. https://doi.org/10.1016/j.jmapro.2017.11.009.   DOI
152 Habibi, M., Mohammadgholiha, M. and Safarpour, H. (2019b), "Wave propagation characteristics of the electrically GNP-reinforced nanocomposite cylindrical shell", J. Brazil. Soc. Mech. Sci. Eng., 41(5), 221. https://doi.org/10.1007/s40430-019-1715-x.   DOI
153 Habibi, M., Mohammadi, A., Safarpour, H. and Ghadiri, M. (2019c), "Effect of porosity on buckling and vibrational characteristics of the imperfect GPLRC composite nanoshell", Mech. Bas. Des. Struct. Mach., 49(6), 811-840. https://doi.org/10.1080/15397734.2019.1701490.   DOI
154 Yazdani, M., Kabirifar, K., Frimpong, B.E., Shariati, M., Mirmozaffari, M. and Boskabadi, A. (2020), "Improving construction and demolition waste collection service in an urban area using a simheuristic approach: A case study in Sydney, Australia", J. Clean. Prod., 280, 124138. https://doi.org/10.1016/j.jclepro.2020.124138.   DOI
155 Shariati, M., Ramli Sulong, N.H., Arabnejad Khanouki, M.M. and Shariati, A. (2011b). "Experimental and numerical investigations of channel shear connectors in high strength concrete", Proceedings of the 2011 World Congress on Advances in Structural Engineering and Mechanics (ASEM'11+), Korea.
156 Jiao, J., Ghoreishi, S.M., Moradi, Z. and Oslub, K. (2021), "Coupled particle swarm optimization method with genetic algorithm for the static-dynamic performance of the magneto-electro-elastic nanosystem", Eng. Comput., 1-15. https://doi.org/10.1007/s00366-021-01391-x.   DOI
157 Habibi, M., Safarpour, M. and Safarpour, H. (2020), "Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods", Mech. Bas. Des. Struct. Mach., 50(7), 2471-2492. https://doi.org/10.1080/15397734.2020.1779086.   DOI
158 Habibi, M., Taghdir, A. and Safarpour, H. (2019e), "Stability analysis of an electrically cylindrical nanoshell reinforced with graphene nanoplatelets", Compos. Part B: Eng., 175, 107125. https://doi.org/10.1016/j.compositesb.2019.107125.   DOI
159 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), 1340-1366. https://doi.org/10.1080/17455030.2019.1662968.   DOI
160 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
161 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
162 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
163 Yu, D., Wu, J., Wang, W. and Gu, B. (2022a), "Optimal performance of hybrid energy system in the presence of electrical and heat storage systems under uncertainties using stochastic p-robust optimization technique", Sustain. Citi. Soc., 83, 103935. https://doi.org/10.1016/j.scs.2022.103935.   DOI
164 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
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