OPTIMUM LAYUP OF THICK LAMINATED COMPOSITE PLATES FOR MAXIMUM STIFFNESS

The optimal lamination arrangement of thick laminated composite plates for maximum stiffness is studied via a multi-start global optimization technique. The C0 (penalty) element in which the exact expressions for determining shear correction factors are adopted is used to perform the structural analysis of the plates subjected to transverse loads. The optimal layups for the plates with maximum stiffnesses are then designed by minimizing the strain energy of the plates via the multi-start global optimization technique. The proposed optimization algorithm has been proved to be efficient and effective in designing thick laminated composite plates. A number of examples of the design of symmetrically and antisymmetrically laminated composite plates with various aspect ratios and different number of layers are given to illustrate the applications of the present method.

[1]  Y. Hirano,et al.  Optimum Design of Laminated Plates Under Shear , 1979 .

[2]  Thierry N. Massard,et al.  Computer Sizing of Composite Laminates for Strength , 1984 .

[3]  Raghu Natarajan,et al.  Finite element analysis of laminated composite plates , 1979 .

[4]  J. Snyman,et al.  A multi-start global minimization algorithm with dynamic search trajectories , 1987 .

[5]  W. Price Global optimization by controlled random search , 1983 .

[6]  A. Griewank Generalized descent for global optimization , 1981 .

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

[8]  S. Adibhatla,et al.  Design of Laminated Plates for Maximum Stiffness , 1984 .

[9]  J. Whitney,et al.  Shear Correction Factors for Orthotropic Laminates Under Static Load , 1973 .

[10]  Y. Stavsky,et al.  Elastic wave propagation in heterogeneous plates , 1966 .

[11]  Sarp Adali,et al.  Design of antisymmetric hybrid laminates for maximum buckling load: I. Optimal fibre orientation , 1990 .

[12]  N. Pagano,et al.  Exact Solutions for Rectangular Bidirectional Composites and Sandwich Plates , 1970 .

[13]  S. Adibhatla,et al.  DESIGN OF LAMINATED PLATES FOR MAXIMUM BENDING STRENGTH , 1985 .

[14]  Tai-Yan Kam,et al.  Multilevel optimal design of laminated composite plate structures , 1989 .

[15]  Alexander H. G. Rinnooy Kan,et al.  Stochastic methods for global optimization , 1984 .

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

[17]  Tai-Yan Kam,et al.  Optimal design of laminated composite plates with dynamic and static considerations , 1989 .

[18]  J. N. Reddy,et al.  A penalty plate‐bending element for the analysis of laminated anisotropic composite plates , 1980 .

[19]  Y. Hirano Optimum Design of Laminated Plates under Axial Compression , 1979 .

[20]  Jan A. Snyman,et al.  Optimal design of laminated composite plates using a global optimization technique , 1991 .

[21]  Aleksander Muc,et al.  Optimal fibre orientation for simply-supported, angle-ply plates under biaxial compression , 1988 .

[22]  Lucien A. Schmit,et al.  Optimum design of laminated fibre composite plates , 1977 .

[23]  W. J. Stroud,et al.  Minimum-Mass Design of Filamentary Composite Panels under Combined Loads: Design Procedure Based on Simplified Buckling Equations. , 1976 .

[24]  A. Mawenya,et al.  Finite element bending analysis of multilayer plates , 1974 .