Optimum Design of Laminated Composite Plates Undergoing Large Amplitude Oscillations

The optimum design of composite laminated plates under going large amplitude free vibration is discussed. Von Karman's nonlinear strain displacement relations are considered to account for large amplitude. A higher order shear deformation theory with parabolic variation of transverse shear stresses through thickness is used in the finite element formulation. A nine-noded isoparametric element with 7 dof per node is adopted. Ritz formulation for nonlinear finite element analysis is implemented and the direct iteration method is used to solve the governing nonlinear equation. Optimization is carried out using genetic algorithm (GA) with tournament selection scheme.

[1]  P. Hajela,et al.  GENETIC ALGORITHMS IN OPTIMIZATION PROBLEMS WITH DISCRETE AND INTEGER DESIGN VARIABLES , 1992 .

[2]  George E. Weeks,et al.  Optimum design of composite laminates using genetic algorithms , 1992 .

[3]  K. Chandrashekhara,et al.  Nonlinear Vibration of Laminated Plates Using a Refined Shear Flexible Finite Element , 1994 .

[4]  Lawrence Davis,et al.  Job Shop Scheduling with Genetic Algorithms , 1985, ICGA.

[5]  E. Hinton,et al.  Nonlinear vibrations of thick plates using mindlin plate elements , 1980 .

[6]  Raphael T. Haftka,et al.  Stacking sequence optimization of simply supported laminates with stability and strain constraints , 1992 .

[7]  J. N. Reddy,et al.  Large-deflection and large-amplitude free vibrations of laminated composite-material plates , 1981 .

[8]  Zafer Gürdal,et al.  Buckling Optimization of Laminate Stacking Sequence with Strain Constraints , 1991 .

[9]  N.G.R. Iyengar,et al.  A C0ELEMENT FOR THE FREE VIBRATION ANALYSIS OF LAMINATED COMPOSITE PLATES , 1996 .

[10]  N. Iyengar,et al.  Large deflection of shear deformable composite plates using a simple higher-order theory , 1993 .

[11]  T. K. Varadan,et al.  Nonlinear flexural vibrations of laminated orthotropic plates , 1991 .

[12]  Nozomu Kogiso,et al.  Design of Composite Laminates by a Genetic Algorithm with Memory , 1994 .

[13]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .