Adaptive momentum-based optimization to train deep neural network for computer simulation of hygro-thermo-mechanical vibration performance of laminated plates

References

• Abedini, M., A. A. Mutalib, C. Zhang, J. Mehrmashhadi, S. N. Raman, R. Alipour, T. Momeni, and M. H. Mussa. 2019. Large deflection behavior effect in reinforced concrete columns exposed to extreme dynamic loads. Frontiers of Structural and Civil Engineering 14:532–553. doi: 10.1007/s11709-020-0604-9.
   Web of Science ®Google Scholar
• Cai, C., X. Gao, Q. Teng, R. Kiran, J. Liu, Q. Wei, and Y. Shi. 2020. Hot isostatic pressing of a near α-Ti alloy: Temperature optimization, microstructural evolution and mechanical performance evaluation. Materials Science and Engineering: A :140426. doi: 10.1016/j.msea.2020.140426.
   Web of Science ®Google Scholar
• Cai, C., X. Wu, W. Liu, W. Zhu, H. Chen, J. C. D. Qiu, C.-N. Sun, J. Liu, Q. Wei, and Y. Shi. 2020. Selective laser melting of near-α titanium alloy Ti-6Al-2Zr-1Mo-1V: Parameter optimization, heat treatment and mechanical performance. Journal of Materials Science & Technology 57:51–64. doi: 10.1016/j.jmst.2020.05.004.
   Web of Science ®Google Scholar
• Chen, H., H. Song, Y. Li, and M. Safarpour. 2020. Hygro-thermal buckling analysis of polymer–CNT–fiber-laminated nanocomposite disk under uniform lateral pressure with the aid of GDQM. Engineering with Computers. doi: 10.1007/s00366-020-01102-y.
   Web of Science ®Google Scholar
• Chen, Z., J. Wang, K. Ma, X. Huang, and T. Wang. 2020. Fuzzy adaptive two‐bits‐triggered control for nonlinear uncertain system with input saturation and output constraint. International Journal of Adaptive Control and Signal Processing 34 (4):543–559. doi: 10.1002/acs.3098.
   Web of Science ®Google Scholar
• Cheshmeh, E., M. Karbon, A. Eyvazian, D. W. Jung, M. Habibi, and M. Safarpour. 2020. Buckling and vibration analysis of FG-CNTRC plate subjected to thermo-mechanical load based on higher order shear deformation theory. Mechanics Based Design of Structures and Machines. doi: 10.1080/15397734.2020.1744005.
   Web of Science ®Google Scholar
• Ebrahimi, F., and S. Habibi. 2018. Thermal effects on nonlinear dynamic characteristics of polymer-CNT-fiber multiscale nanocomposite structures. Structural Engineering and Mechanics 67(4): 403–15.
   Web of Science ®Google Scholar
• Habibi, M., M. Safarpour, and H. Safarpour. 2020. Vibrational characteristics of a FG-GPLRC viscoelastic thick annular plate using fourth-order Runge-Kutta and GDQ methods. Mechanics Based Design of Structures and Machines. doi: 10.1080/15397734.2020.1779086.
   Web of Science ®Google Scholar
• Huang, Y., J. Wang, F. Wang, and B. He. 2021. Event-triggered adaptive finite-time tracking control for full state constraints nonlinear systems with parameter uncertainties and given transient performance. ISA Transactions 108:131–143. doi: 10.1016/j.isatra.2020.08.022.
   PubMed Web of Science ®Google Scholar
• Kordestani, H., C. Zhang, and M. Shadabfar. 2019. Beam damage detection under a moving load using random decrement technique and Savitzky–Golay filter. Sensors 20 (1):243. doi: 10.3390/s20010243.
   PubMed Web of Science ®Google Scholar
• Lee, Y.-S., and Y.-W. Kim. 1996. Analysis of nonlinear vibration of hybrid composite plates. Computers & Structures 61 (3): 573–578. doi: 10.1016/0045-7949(96)00055-7.
   Web of Science ®Google Scholar
• Liu, C., X. Deng, J. Liu, T. Peng, S. Yang, and Z. Zheng. 2020. Dynamic response of saddle membrane structure under hail impact. Engineering Structures 214:110597. doi: 10.1016/j.engstruct.2020.110597.
   Web of Science ®Google Scholar
• Liu, C., F. Wang, X. Deng, S. Pang, J. Liu, Y. Wu, and Z. Xu. 2020. Hailstone-induced dynamic responses of pretensioned umbrella membrane structure. Advances in Structural Engineering 24 (1):3–16. doi: 10.1177/1369433220940149.
   Web of Science ®Google Scholar
• Liu, C., F. Wang, L. He, X. Deng, J. Liu, and Y. Wu. 2020. Experimental and numerical investigation on dynamic responses of the umbrella membrane structure excited by heavy rainfall. Journal of Vibration and Control :1077546320932691.
   Web of Science ®Google Scholar
• Liu, W., L. Deng, Z. Cai, D. Li, and A. Rahimi. Impact of in-plane follower force on the frequency response of the hybrid angle-ply laminated system via dynamic simulation and generalized differential quadrature framework. Engineering with Computers. doi: 10.1007/s00366-020-01215-4.
   Web of Science ®Google Scholar
• Long, Q., C. Wu, and X. Wang. 2015. A system of nonsmooth equations solver based upon subgradient method. Applied Mathematics and Computation 251:284–299. doi: 10.1016/j.amc.2014.11.064.
   Web of Science ®Google Scholar
• Mou, B., X. Li, Y. Bai, and L. Wang. 2019. Shear behavior of panel zones in steel beam-to-column connections with unequal depth of outer annular stiffener. Journal of Structural Engineering 145 (2):04018247. doi: 10.1061/(ASCE)ST.1943-541X.0002256.
   Web of Science ®Google Scholar
• Mou, B., F. Zhao, Q. Qiao, L. Wang, H. Li, B. He, and Z. Hao. 2019. Flexural behavior of beam to column joints with or without an overlying concrete slab. Engineering Structures 199:109616. doi: 10.1016/j.engstruct.2019.109616.
   Web of Science ®Google Scholar
• Olia, A. S. R., and D. Perić. 2020a. Cross validation of analytical solutions against the computational model predictions of the response of end bearing energy pile. E3S Web of Conferences 205:05019. doi: 10.1051/e3sconf/202020505019.
   Google Scholar
• Olia, A. S. R., and D. Perić. 2020b. Cross validation of analytical solutions against the computational model predictions of the response of semi floating energy pile. E3S Web of Conferences 205:05020. doi: 10.1051/e3sconf/202020505020.
   Google Scholar
• Rahimi, A., and A. Alibeigloo. 2020. High-accuracy approach for thermomechanical vibration analysis of FG-GPLRC fluid-conveying viscoelastic thick cylindrical shell. International Journal of Applied Mechanics 12 (07):20500732050073. doi: 10.1142/S1758825120500738.
   Google Scholar
• Rahimi, A., A. Alibeigloo, and M. Safarpour. 2020. Three-dimensional static and free vibration analysis of graphene platelet-reinforced porous composite cylindrical shell. Journal of Vibration and Control 26 (19–20):1627–1645. doi: 10.1177/1077546320902340.
   Web of Science ®Google Scholar
• Ren, J., C. Zhang, and Q. Hao. 2021. A theoretical method to evaluate honeynet potency. Future Generation Computer Systems 116:76–85. doi: 10.1016/j.future.2020.08.021.
   Web of Science ®Google Scholar
• Saeidi Rashk Olia, A., and D. Perić. 2021. Thermo-mechanical soil structure interaction in single energy piles exhibiting reversible interface behavior. International Journal of Geomechanics :103658. doi: 10.1061/(ASCE)GM.1943-5622.0002014.
   Web of Science ®Google Scholar
• Safarpour, M., A. Ghabussi, F. Ebrahimi, M. Habibi, and H. Safarpour. 2020. Frequency characteristics of FG-GPLRC viscoelastic thick annular plate with the aid of gdqm. Thin-Walled Structures 150:106683. doi: 10.1016/j.tws.2020.106683.
   Web of Science ®Google Scholar
• Safarpour, M., A. Rahimi, and A. Alibeigloo. 2019. Static and free vibration analysis of graphene platelets reinforced composite truncated conical shell, cylindrical shell, and annular plate using theory of elasticity and DQM. Mechanics Based Design of Structures and Machines 48 (4):496–524. doi: 10.1080/15397734.2019.1646137.
   Web of Science ®Google Scholar
• Safarpour, M., A. Rahimi, A. Alibeigloo, H. Bisheh, and A. Forooghi. 2019. Parametric study of three-dimensional bending and frequency of FG-GPLRC porous circular and annular plates on different boundary conditions. Mechanics Based Design of Structures and Machines. doi: 10.1080/15397734.2019.1701491.
   Web of Science ®Google Scholar
• Safarpour, M., A. Rahimi, O. Noormohammadi Arani, and T. Rabczuk. 2020. Frequency characteristics of multiscale hybrid nanocomposite annular plate based on a Halpin–Tsai homogenization model with the aid of GDQM. Applied Sciences 10 (4):1412. doi: 10.3390/app10041412.
   Google Scholar
• Shahgholian-Ghahfarokhi, D., M. Safarpour, and A. Rahimi. 2021. Torsional buckling analyses of functionally graded porous nanocomposite cylindrical shells reinforced with graphene platelets (GPLs). Mechanics Based Design of Structures and Machines 49 (1):81–102. doi: 10.1080/15397734.2019.1666723.
   Web of Science ®Google Scholar
• Thai, C. H., A. Ferreira, T. Tran, and P. Phung-Van. 2019. Free vibration, buckling and bending analyses of multilayer functionally graded graphene nanoplatelets reinforced composite plates using the NURBS formulation. Composite Structures 220:749–759. doi: 10.1016/j.compstruct.2019.03.100.
   Web of Science ®Google Scholar
• Thostenson, E., W. Li, D. Wang, Z. Ren, and T. Chou. 2002. Carbon nanotube/carbon fiber hybrid multiscale composites. Journal of Applied Physics 91 (9):6034–6037.
   Google Scholar
• Walker, M., T. Reiss, and S. Adali. 1997. A procedure to select the best material combinations and optimally design hybrid composite plates for minimum weight and cost. Engineering Optimization 29 (1–4):65–83. doi: 10.1080/03052159708940987.
   Web of Science ®Google Scholar
• Wang, J., Y. Huang, T. Wang, C. Zhang, and Y. H. Liu. 2020. Fuzzy finite-time stable compensation control for a building structural vibration system with actuator failures. Applied Soft Computing 93:106372. doi: 10.1016/j.asoc.2020.106372.
   Web of Science ®Google Scholar
• Wang, J., P. Zhu, B. He, G. Deng, C. Zhang, and X. Huang. 2020. An adaptive neural sliding mode control with ESO for uncertain nonlinear systems. International Journal of Control, Automation and Systems. doi: 10.1007/s12555-019-0972-x.
   Google Scholar
• Wang, P., T. Yao, Z. Li, W. Wei, Q. Xie, W. Duan, and H. Han. 2020. A superhydrophobic/electrothermal synergistically anti-icing strategy based on graphene composite. Composites Science and Technology 198:108307. doi: 10.1016/j.compscitech.2020.108307.
   Web of Science ®Google Scholar
• White, H. 1992. Artificial neural networks: Approximation and learning theory. Blackwell Publishers, Inc.
   Google Scholar
• Wu, C., K. Zheng, J. Fang, G. P. Steven, and Q. Li. 2020. Time-dependent topology optimization of bone plates considering bone remodeling. Computer Methods in Applied Mechanics and Engineering 359:112702. doi: 10.1016/j.cma.2019.112702.
   Web of Science ®Google Scholar
• Wu, T., J. Cao, L. Xiong, and H. Zhang. 2019. New stabilization results for semi-markov chaotic systems with fuzzy sampled-data control. Complexity 2019:1–15. doi: 10.1155/2019/7875305.
   Web of Science ®Google Scholar
• Xiong, L., H. Zhang, Y. Li, and Z. Liu. 2016. Improved stability and h∞ performance for neutral systems with uncertain Markovian jump. Nonlinear Analysis: Hybrid Systems 19:13–25.
   Web of Science ®Google Scholar
• Yang, Z., P. Xu, W. Wei, G. Gao, N. Zhou, and G. Wu. 2020. Influence of the crosswind on the pantograph arcing dynamics. IEEE Transactions on Plasma Science 48 (8):2822–2830. doi: 10.1109/TPS.2020.3010553.
   Web of Science ®Google Scholar
• Zeiler, M. D. 2012. Adadelta: An adaptive learning rate method. arXiv preprint arXiv:1212.5701.
   Google Scholar
• Zhang, C., G. Gholipour, and A. A. Mousavi. 2019. Nonlinear dynamic behavior of simply-supported rc beams subjected to combined impact-blast loading. Engineering Structures 181:124–142. doi: 10.1016/j.engstruct.2018.12.014.
   Web of Science ®Google Scholar
• Zhang, C., and H. Wang. 2019a. Robustness of the active rotary inertia driver system for structural swing vibration control subjected to multi-type hazard excitations. Applied Sciences 9 (20):4391. doi: 10.3390/app9204391.
   Google Scholar
• Zhang, C., and H. Wang. 2019b. Swing vibration control of suspended structure using active rotary inertia driver system: Parametric analysis and experimental verification. Applied Sciences 9 (15):3144. doi: 10.3390/app9153144.
   Google Scholar
• Zhang, C., and H. Wang. 2020. Swing vibration control of suspended structures using the active rotary inertia driver system: Theoretical modeling and experimental verification. Structural Control and Health Monitoring 27 (6):e2543. doi: 10.1002/stc.2543.
   Web of Science ®Google Scholar
• Zhang, X., Y. Wang, X. Chen, C.-Y. Su, Z. Li, C. Wang, and Y. Peng. 2019. Decentralized adaptive neural approximated inverse control for a class of large-scale nonlinear hysteretic systems with time delays. IEEE Transactions on Systems, Man, and Cybernetics: Systems 49 (12):2424–2437. doi: 10.1109/TSMC.2018.2827101.
   Web of Science ®Google Scholar
• Zheng, J., C. Zhang, and A. Li. 2019. Experimental investigation on the mechanical properties of curved metallic plate dampers. Applied Sciences 10 (1):269. doi: 10.3390/app10010269.
   Google Scholar
• Zhu, P., Z. Lei, and K. M. Liew. 2012. Static and free vibration analyses of carbon nanotube-reinforced composite plates using finite element method with first order shear deformation plate theory. Composite Structures 94 (4):1450–1460. doi: 10.1016/j.compstruct.2011.11.010.
   Web of Science ®Google Scholar
• Zhu, J., Q. Shi, P. Wu, Z. Sheng, and X. Wang. 2018. Complexity analysis of prefabrication contractors’ dynamic price competition in mega projects with different competition strategies. Complexity 2018:1–9. doi: 10.1155/2018/5928235.
   Google Scholar
• Zhu, G., S. Wang, L. Sun, W. Ge, and X. Zhang. 2020. Output feedback adaptive dynamic surface sliding-mode control for quadrotor UAVs with tracking error constraints. Complexity 2020:1–23. doi: 10.1155/2020/8537198.
   Web of Science ®Google Scholar