Multi-objective stacking sequence optimization of laminated cylindrical panels using a genetic algorithm and neural networks

A multi-objective optimization strategy for optimal stacking sequence of laminated cylindrical panels is presented, with respect to the first natural frequency and critical buckling load, using the weighted summation method. To improve the speed of the optimization process, artificial neural networks are used to reproduce the behavior of the structure both in free vibration and buckling conditions. Based on first order shear deformation theory of laminated shells, a finite element code, capable of evaluating the first natural frequency and buckling load, is prepared of which the outputs are used for training and testing the developed neural networks. In order to find the optimal solution, a genetic algorithm is implemented. Verifications are made for both finite element code results and utilization of neural networks in the optimization process. With the purpose of illustrating the optimization process, numerical results are presented for a symmetric angle-ply six layer cylindrical panel.

[1]  Sergio Ricci,et al.  Optimization of Helicopter Subfloor Components Under Crashworthiness Requirements Using Neural Networks , 2002 .

[2]  Chiara Bisagni,et al.  Post-buckling optimisation of composite stiffened panels using neural networks , 2002 .

[3]  A. Muc,et al.  Genetic algorithms and finite element analysis in optimization of composite structures , 2001 .

[4]  Petri Kere,et al.  Multicriterion stacking sequence optimization scheme for composite laminates subjected to multiple loading conditions , 2001 .

[5]  M. H. Yas,et al.  Optimal Stacking Sequence of Laminated Cylindrical Shells Using Genetic Algorithm , 2005 .

[6]  Don Kelly,et al.  Multi-objective optimisation of composite aerospace structures , 2002 .

[7]  Akira Todoroki,et al.  Permutation genetic algorithm for stacking sequence design of composite laminates , 2000 .

[8]  C. T. F. Ross.  Finite Element Methods in Engineering Science , 1984 .

[9]  Hojjat Adeli,et al.  An integrated computing environment for solution of complex engineering problems using the object-oriented programming paradigm and a blackboard architecture , 1995 .

[10]  Manolis Papadrakakis,et al.  Structural optimization using evolution strategies and neural networks , 1998 .

[11]  Jianqiao Ye,et al.  Three-dimensional vibration of laminated cylinders and cylindrical panels with symmetric or antisymmetric cross-ply lay-up , 1994 .

[12]  J. N. Reddy,et al.  Energy and variational methods in applied mechanics , 1984 .

[13]  Mark Walker,et al.  Multiobjective design of laminated plates for maximum stability using the finite element method , 2001 .

[14]  Layne T. Watson,et al.  A genetic algorithm with memory for optimal design of laminated sandwich composite panels , 2002 .

[15]  F. Williams,et al.  Nonlinear analysis of cross-ply thick cylindrical shells under axial compression , 1998 .

[16]  R. Spallino,et al.  Multi-objective discrete optimization of laminated structures , 2002 .

[17]  Norman F. Knight,et al.  An assessment of shell theories for buckling ofcircular cylindrical laminated composite panels loaded inaxial compression , 1999 .

[18]  David E. Goldberg,et al.  Genetic Algorithms in Search Optimization and Machine Learning , 1988 .

[19]  Ya-Jung Lee,et al.  Stacking sequence optimization of laminated composite structures using genetic algorithm with local improvement , 2004 .

[20]  Christine M. Anderson-Cook,et al.  Genetic algorithm optimization and blending of composite laminates by locally reducing laminate thickness , 2004 .

[21]  C. Cichon,et al.  Stability of structures by finite element methods , 1994 .

[22]  Christos Kassapoglou,et al.  Stacking Sequence Blending of Multiple Composite Laminates Using Genetic Algorithms , 2002 .

[23]  K. M. Liew,et al.  Buckling of rectangular functionally graded material plates subjected to nonlinearly distributed in-plane edge loads , 2004 .

[24]  Anthony N. Palazotto,et al.  Vibration and buckling characteristics of composite cylindrical panels incorporating the effects of a higher order shear theory , 1991 .

[25]  J. Hutchinson,et al.  Buckling of Bars, Plates and Shells , 1975 .

[26]  N.G.R. Iyengar,et al.  Stability analysis of laminated cylindrical panels with uncertain material properties , 2001 .

[27]  N. Ganesan,et al.  Buckling and dynamic analysis of piezothermoelastic composite cylindrical shell , 2003 .

[28]  Sergio Ricci,et al.  Neural network systems to reproduce crash behavior of structural components , 2004 .