Reanalysis assisted metaheuristic optimization for free vibration problems of composite laminates

Abstract The metaheuristic optimization methods have been widely used in complex composite material design. However, it is still difficult to apply these methods to complicated problems due to expensive cost of evaluations. Therefore, to reduce the expensive cost of finite element (FE) analysis in the composite laminate optimization problems, the surrogate assisted optimization (SAO) method has been well developed. However, considering the low accuracy of surrogate model for complicated cases, the SAO is always difficult to converge to the global optimum. In this study, a fast and accurate solver, the reanalysis algorithm is extended to vibration problem and integrated to improve the efficiency of metaheuristic optimization of composite laminates instead of surrogate model. In the proposed method, the shifting method is used in each iterative step. To validate the performance of suggested method, several numerical examples are presented. The results demonstrate that reanalysis assisted particle swarm optimization (RPSO) is much more efficient for free vibration problems of composite laminates than the PSO. Moreover, such strategy can be extended to other metaheuristic algorithms easily.

[1]  Uri Kirsch,et al.  Approximate Vibration Reanalysis of Structures , 2002 .

[2]  A. R. Vosoughi,et al.  Maximum fundamental frequency of thick laminated composite plates by a hybrid optimization method , 2016 .

[3]  Guanxing Huang,et al.  An efficient reanalysis assisted optimization for variable-stiffness composite design by using path functions , 2016 .

[4]  Liang Huang,et al.  Niching particle swarm optimization techniques for multimodal buckling maximization of composite laminates , 2017, Appl. Soft Comput..

[5]  A. R. Vosoughi,et al.  New hybrid FE-PSO-CGAs sensitivity base technique for damage detection of laminated composite beams , 2014 .

[6]  Uri Kirsch,et al.  Design-Oriented Analysis of Structures: A Unified Approach , 2002 .

[7]  Evandro Parente,et al.  A hybrid PSO-GA algorithm for optimization of laminated composites , 2017 .

[8]  K. M. Liew,et al.  Vibration analysis of symmetrically laminated plates based on FSDT using the moving least squares differential quadrature method , 2003 .

[9]  K. Liew,et al.  Free vibration analysis of functionally graded carbon nanotube-reinforced composite triangular plates using the FSDT and element-free IMLS-Ritz method , 2015 .

[10]  Su-huan Chen,et al.  Comparison of several eigenvalue reanalysis methods for modified structures , 2000 .

[11]  Guangyao Li,et al.  An exact reanalysis method for structures with local modifications , 2016 .

[12]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[13]  C.M.C. Roque,et al.  Maximization of fundamental frequency of layered composites using differential evolution optimization , 2018 .

[14]  K. Liew,et al.  Free vibration analysis of moderately thick functionally graded plates by local Kriging meshless method , 2011 .

[15]  Guikai Guo,et al.  Vibration reanalysis using frequency-shift combined approximations , 2011 .

[16]  Wenjie Zuo,et al.  Sensitivity reanalysis of static displacement using Taylor series expansion and combined approximate method , 2015, Structural and Multidisciplinary Optimization.

[17]  Uri Kirsch,et al.  Efficient Dynamic Reanalysis of Structures , 2007 .

[18]  Layne T. Watson,et al.  COMPOSITE LAMINATE DESIGN OPTIMIZATION BY GENETIC ALGORITHM WITH GENERALIZED ELITIST SELECTION , 2001 .

[19]  Zhengguang Li,et al.  Vibration reanalysis based on block combined approximations with shifting , 2015 .

[20]  R. D. Mindlin,et al.  Influence of rotary inertia and shear on flexural motions of isotropic, elastic plates , 1951 .

[21]  M. Nazari,et al.  A new hybrid particle swarm and simulated annealing stochastic optimization method , 2017, Appl. Soft Comput..

[22]  Guangyao Li,et al.  A Meshless-based Local Reanalysis Method for Structural Analysis , 2017, ArXiv.

[23]  Zhao Liu,et al.  Lightweight design of automotive composite bumper system using modified particle swarm optimizer , 2016 .

[24]  Arthur W. Leissa,et al.  Analysis of a simply supported laminated anisotropic rectangular plate , 1970 .

[25]  Renato Natal Jorge,et al.  Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions , 2005 .

[26]  Francesco Tornabene,et al.  Free vibration analysis of functionally graded conical, cylindrical shell and annular plate structures with a four-parameter power-law distribution , 2009 .

[27]  Volnei Tita,et al.  Stacking sequence optimization in composite tubes under internal pressure based on genetic algorithm accounting for progressive damage , 2017 .

[28]  Uri Kirsch,et al.  Procedures for approximate eigenproblem reanalysis of structures , 2004 .

[29]  T. Vo-Duy,et al.  Multi-objective optimization of laminated composite beam structures using NSGA-II algorithm , 2017 .

[30]  Wenjie Zuo,et al.  Fast structural optimization with frequency constraints by genetic algorithm using adaptive eigenvalue reanalysis methods , 2011 .

[31]  Guang Wei Meng,et al.  Technical Note: Combined approximation for reanalysis of complex eigenvalues , 2009 .

[32]  M. H. Sadr,et al.  PSO algorithm for fundamental frequency optimization of fiber metal laminated panels , 2013 .

[33]  K. Saitou,et al.  Multi-material topology optimization using ordered SIMP interpolation , 2016, Structural and Multidisciplinary Optimization.

[34]  Hoang-Anh Pham,et al.  Optimisation of stiffeners for maximum fundamental frequency of cross-ply laminated cylindrical panels using social group optimisation and smeared stiffener method , 2017 .

[35]  J. Reddy.  A Simple Higher-Order Theory for Laminated Composite Plates , 1984 .

[36]  Enying Li,et al.  A multiple-GPU based parallel independent coefficient reanalysis method and applications for vehicle design , 2015, Adv. Eng. Softw..

[37]  Siamak Noroozi,et al.  The development of laminated composite plate theories: a review , 2012, Journal of Materials Science.

[38]  Yongping Yu,et al.  The approximate reanalysis method for topology optimization under harmonic force excitations with multiple frequencies , 2017 .

[39]  Hu Wang,et al.  A novel Multi-Grid assisted reanalysis for re-meshed finite element models , 2017 .

[40]  C.M.C. Roque,et al.  Differential evolution optimization for the analysis of composite plates with radial basis collocation meshless method , 2015 .

[41]  A. R. Vosoughi,et al.  Optimum stacking sequences of thick laminated composite plates for maximizing buckling load using FE-GAs-PSO , 2017 .

[42]  Charles W. Bert,et al.  Composite Material Mechanics: Structural Mechanics , 1974 .

[43]  Su-huan Chen,et al.  Extended Kirsch Combined Method for Eigenvalue Reanalysis , 2000 .

[44]  Su-huan Chen,et al.  Structural modal reanalysis for topological modifications with extended Kirsch method , 2003 .

[45]  Chunhui Yang,et al.  Recent developments in finite element analysis for laminated composite plates , 2009 .

[46]  E. Reissner.  The effect of transverse shear deformation on the bending of elastic plates , 1945 .

[47]  Ping Zhu,et al.  Multi-scale design of three dimensional woven composite automobile fender using modified particle swarm optimization algorithm , 2017 .

[48]  Guangyao Li,et al.  Reanalysis-based space mapping method, an alternative optimization way for expensive simulation-based problems , 2017 .

[49]  Metin Aydogdu,et al.  A new shear deformation theory for laminated composite plates , 2009 .

[50]  Alireza Fathi,et al.  Optimal design of a honeycomb core composite sandwich panel using evolutionary optimization algorithms , 2016 .

[51]  A Parallel Elastoplastic Reanalysis Based on GPU Platform , 2017 .

[52]  Wenjie Zuo,et al.  Sensitivity reanalysis of vibration problem using combined approximations method , 2017 .