Stochastic normal mode frequency analysis of hybrid angle ply laminated composite skew plate with opening using a novel approach

References

• Akbari, H., M. Azadi, and H. Fahham. 2020. Free vibration analysis of thick sandwich cylindrical panels with saturated FG-porous core. Mechanics Based Design of Structures and Machines. doi: 10.1080/15397734.2020.1748051.
   Web of Science ®Google Scholar
• Ansari, M. I., A. Kumar, S. Fic, and D. Barnat-Hunek. 2018. Flexural and free vibration analysis of CNT-reinforced functionally graded plate. Materials 11 (12):2387. doi: 10.3390/ma11122387
   PubMed Web of Science ®Google Scholar
• Bao, Y., T. Xiong, and Z. Hu. 2014. PSO-mismo modeling strategy for multistep-ahead time series prediction. IEEE Transactions on Cybernetics 44 (5):655–68. doi: 10.1109/TCYB.2013.2265084.
   PubMed Web of Science ®Google Scholar
• Bhar, A., S. S. Phoenix, and S. K. Satsangi. 2010. Finite element analysis of laminated composite stiffened plates using FSDT and HSDT: A comparative perspective. Composite Structures 92 (2):312–21. doi: 10.1016/j.compstruct.2009.08.002
   Web of Science ®Google Scholar
• Chandrashekhar, M., and R. Ganguli. 2010. Nonlinear vibration analysis of composite laminated and sandwich plates with random material properties. International Journal of Mechanical Sciences 52 (7):874–91. doi: 10.1016/j.ijmecsci.2010.03.002
   Web of Science ®Google Scholar
• Chau, K. W. 2007. Application of a PSO-based neural network in analysis of outcomes of construction claims. Automation in Construction 16 (5):642–6. doi: 10.1016/j.autcon.2006.11.008
   Web of Science ®Google Scholar
• Chaubey, A. K., A. Kumar, and A. Chakrabarti. 2018. Vibration of laminated composite shells with cutouts and concentrated mass. AIAA Journal 56 (4):1662–78. doi: 10.2514/1.J056320
   Web of Science ®Google Scholar
• Chaudhuri, P. B., A. Mitra, and S. Sahoo. 2019. Mode frequency analysis of antisymmetric angle-ply laminated composite stiffened hypar shell with cutout. Mechanics and Mechanical Engineering 23 (1):162–71. doi: 10.2478/mme-2019-0022
   Google Scholar
• Dey, S., S. Naskar, T. Mukhopadhyay, U. Gohs, A. Spickenheuer, L. Bittrich, S. Sriramula, S. Adhikari, and G. Heinrich. 2016. Uncertain natural frequency analysis of composite plates including effect of noise - A polynomial neural network approach. Composite Structures 143:130–42. doi: 10.1016/j.compstruct.2016.02.007
   Web of Science ®Google Scholar
• Ebrahimi, F., M. Nouraei, and A. Dabbagh. 2020. Modeling vibration behavior of embedded graphene-oxide powder-reinforced nanocomposite plates in thermal environment. Mechanics Based Design of Structures and Machines 48 (2):217–40. doi: 10.1080/15397734.2019.1660185
   Web of Science ®Google Scholar
• Gao, K., W. Gao, B. Wu, D. Wu, and C. Song. 2018. Nonlinear primary resonance of functionally graded porous cylindrical shells using the method of multiple scales. Thin-Walled Structures 125:281–93. doi: 10.1016/j.tws.2017.12.039
   Web of Science ®Google Scholar
• Gao, K., R. Li, and J. Yang. 2019. Dynamic characteristics of functionally graded porous beams with interval material properties. Engineering Structures 197:109441. doi: 10.1016/j.engstruct.2019.109441
   Web of Science ®Google Scholar
• Hachemi, M., and S. M. Hamza-Cherif. 2020. Free vibration of composite laminated plate with complicated cutout. Mechanics Based Design of Structures and Machines 48 (2):192–216. doi: 10.1080/15397734.2019.1633341
   Web of Science ®Google Scholar
• Karsh, P. K., T. Mukhopadhyay, and S. Dey. 2018. Stochastic investigation of natural frequency for functionally graded plates. IOP Conference Series: Materials Science and Engineering 326 (1):012003. doi: 10.1088/1757-899X/326/1/012003
   Google Scholar
• Kennedy, J., and R. C. Eberhart. 1997. A discrete binary version of the particle swarm algorithm. Proceedings of the IEEE International Conference on Systems, Man and Cybernetics. Computational Cybernetics and Simulatioin 5:4104–8. doi: 10.1109/icsmc.1997.637339.
   Google Scholar
• Khan, K., and A. Sahai. 2012. A comparison of BA, GA, PSO, BP and LM for training feed forward neural networks in e-Learning context. International Journal of Intelligent Systems and Applications 4 (7):23–9. doi: 10.5815/ijisa.2012.07.03
   Google Scholar
• Khdeir, A. A., and L. Librescu. 1988. Analysis of symmetric cross-ply laminated elastic plates using a higher-order theory: Part II-Buckling and free vibration. Composite Structures 9 (4):259–77. doi: 10.1016/0263-8223(88)90048-7
   Web of Science ®Google Scholar
• Kumar, A., P. Bhargava, and A. Chakrabarti. 2013. Vibration of laminated composite skew hypar shells using higher order theory. Thin-Walled Structures 63:82–90. doi: 10.1016/j.tws.2012.09.007
   Web of Science ®Google Scholar
• Kumar, A., and A. Chakrabarti. 2017. Failure analysis of laminated composite skew laminates. Procedia Engineering 173:1560–6. doi: 10.1016/j.proeng.2016.12.245
   Google Scholar
• Kumar, A., A. Chakrabarti, P. Bhargava, and R. Chowdhury. 2015. Probabilistic failure analysis of laminated sandwich shells based on higher order zigzag theory. Journal of Sandwich Structures & Materials 17 (5):546–61. doi: 10.1177/1099636215577368
   Web of Science ®Google Scholar
• Liew, K. M., Y. Q. Huang, and J. N. Reddy. 2003. Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method. Computer Methods in Applied Mechanics and Engineering 192 (19):2203–22. doi: 10.1016/S0045-7825(03)00238-X.
   Web of Science ®Google Scholar
• Lim, T. C. 2016. Higher-order shear deformation of very thick simply supported equilateral triangular plates under uniform load. Mechanics Based Design of Structures and Machines 44 (4):514–22. doi: 10.1080/15397734.2015.1124784.
   Web of Science ®Google Scholar
• Lin, S. C. 2000. Reliability predictions of laminated composite plates with random system parameters. Probabilistic Engineering Mechanics 15 (4):327–38. doi: 10.1016/S0266-8920(99)00034-X.
   Web of Science ®Google Scholar
• Liu, G. R., X. Zhao, K. Y. Dai, Z. H. Zhong, G. Y. Li, and X. Han. 2008. Static and free vibration analysis of laminated composite plates using the conforming radial point interpolation method. Composites Science and Technology 68 (2):354–66. doi: 10.1016/j.compscitech.2007.07.014.
   Web of Science ®Google Scholar
• Lopes, P. A. M., H. M. Gomes, and A. M. Awruch. 2010. Reliability analysis of laminated composite structures using finite elements and neural networks. Composite Structures 92 (7):1603–13. doi: 10.1016/j.compstruct.2009.11.023
   Web of Science ®Google Scholar
• Lourakis, M. I. 2005. A brief description of the levenberg-marquardt algorithm implemened by levmar. Foundation of Research and Technology 4 (1):1–6. doi: 10.1016/j.ijinfomgt.2009.10.001.
   Google Scholar
• Malekzadeh, P. 2007. A differential quadrature nonlinear free vibration analysis of laminated composite skew thin plates. Thin-Walled Structures 45 (2):237–50. doi: 10.1016/j.tws.2007.01.011
   Web of Science ®Google Scholar
• Mathew, T. V., P. Prajith, R. O. Ruiz, E. Atroshchenko, and S. Natarajan. 2020. Adaptive importance sampling based neural network framework for reliability and sensitivity prediction for variable stiffness composite laminates with hybrid uncertainties. Composite Structures 245:112344. doi: 10.1016/j.compstruct.2020.112344
   Web of Science ®Google Scholar
• Minh, D. M., K. Gao, W. Yang, and C. Li. 2020. Hybrid uncertainty analysis of functionally graded plates via multiple-imprecise-random-field modelling of uncertain material properties. Computer Methods in Applied Mechanics and Engineering 368:113116. doi: 10.1016/j.cma.2020.113116
   Web of Science ®Google Scholar
• Mohamad, E. T., D. Jahed Armaghani, E. Momeni, and S. V. Alavi Nezhad Khalil Abad. 2015. Prediction of the unconfined compressive strength of soft rocks: A PSO-based ANN approach. Bulletin of Engineering Geology and the Environment 74 (3):745–57. doi: 10.1007/s10064-014-0638-0
   Web of Science ®Google Scholar
• Momeni, E., D. Jahed Armaghani, M. Hajihassani, and M. F. Mohd Amin. 2015. Prediction of uniaxial compressive strength of rock samples using hybrid particle swarm optimization-based artificial neural networks. Measurement 60:50–63. doi: 10.1016/j.measurement.2014.09.075
   Web of Science ®Google Scholar
• Moré, J. J. 1978. The levenberg-marquardt algorithm: implementation and theory. In Numerical analysis. Lecture notes in mathematics, ed. G. A. Watson, vol. 630. Berlin, Heidelberg: Springer. doi: 10.1007/BFb0067700.
   Google Scholar
• Nguyen, H., H. Moayedi, L. K. Foong, H. A. H. Al Najjar, W. A. W. Jusoh, A. S. A. Rashid, and J. Jamali. 2020. Optimizing ANN models with PSO for predicting short building seismic response. Engineering with Computers 36 (3):823–37. doi: 10.1007/s00366-019-00733-0
   Web of Science ®Google Scholar
• Parhi, A., and B. N. Singh. 2014. Stochastic response of laminated composite shell panel in hygrothermal environment. Mechanics Based Design of Structures and Machines 42 (4):454–82. doi: 10.1080/15397734.2014.888006
   Web of Science ®Google Scholar
• Reddy, J. N. 1984. A simple higher-order theory for laminated composite plates. Journal of Applied Mechanics 51 (4):745–52. doi: 10.1115/1.3167719
   Web of Science ®Google Scholar
• Roseiro, L., and U. Ramos, R. Leal. 2004. Determination of material constants of composite laminates using neural networks and genetic algorithms. Proceeding of the European Congress on Computational Methods in Applied Sciences and Engineering (ECCOMAS), Jyväslylä, Finland, 294.
   Google Scholar
• Safarpour, M., A. R. Rahimi, and A. Alibeigloo. 2020. 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
• Singh, B. N., A. K. S. Bisht, M. K. Pandit, and K. K. Shukla. 2009. Nonlinear free vibration analysis of composite plates with material uncertainties: A Monte Carlo simulation approach. Journal of Sound and Vibration 324 (1–2):126–38. doi: 10.1016/j.jsv.2009.01.046
   Web of Science ®Google Scholar
• Swain, P. K., N. Sharma, D. K. Maiti, and B. N. Singh. 2020. Aeroelastic Analysis of Laminated Composite Plate with Material Uncertainty. Journal of Aerospace Engineering 33 (1):04019111. doi: 10.1061/(ASCE)AS.1943-5525.0001107
   Web of Science ®Google Scholar
• Tawfik, M. E., P. L. Bishay, and E. E. Sadek. 2018. Neural network-based second order reliability method (NNBSORM) for laminated composite plates in free vibration. Computer Modeling in Engineering and Sciences 115 (1):105–29. doi: 10.3970/cmes.2018.115.105.
   Web of Science ®Google Scholar
• Verma, A. K., P. B. Deshmukh, M. L. Verma, and V. Kumhar. 2019. Evaluation of vibration characteristics of partially cracked symmetric laminated orthotropic hybrid composite plates. International Journal of Vehicle Noise and Vibration 15 (2/3):168–91. doi: 10.1504/IJVNV.2019.10028126
   Google Scholar
• Wang, Z. X., P. Qiao, and J. Xu. 2015. Vibration analysis of laminated composite plates with damage using the perturbation method. Composites Part B: Engineering 72:160–74. doi: 10.1016/j.compositesb.2014.12.005.
   Web of Science ®Google Scholar
• LeCun, Y., Y. Bengio, and G. Hinton. 2015. Deep learning. Nature 521 (7553):436–44. doi: 10.1038/nature14539.
   PubMed Web of Science ®Google Scholar
• Ye, J., I. Hajirasouliha, J. Becque, and A. Eslami. 2016. Optimum design of cold-formed steel beams using Particle Swarm Optimisation method. Journal of Constructional Steel Research 122:80–93. doi: 10.1016/j.jcsr.2016.02.014
   Web of Science ®Google Scholar