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RESEARCH PAPERS

Multiobjective Design of Symmetrically Laminated Plates

[+] Author and Article Information
N. Kumar, T. R. Tauchert

Department of Engineering Mechanics, University of Kentucky, Lexington, KY

J. Mech. Des 114(4), 620-625 (Dec 01, 1992) (6 pages) doi:10.1115/1.2917052 History: Received May 01, 1991; Online June 02, 2008

Abstract

Multiobjective optimization of a symmetrically laminated composite plate is presented. Designs are obtained to realize maximum in-plane compressive load, maximum in-plane shear load, maximum bending strength, and maximum stiffness, two criteria being considered at a time. Design variables are fiber orientations and thicknesses of different layers. It is observed that nonconvex sets appear in the problem and consequently the weighting min-max method, rather than the pure weighting method, is used to reduce the vector maximum problem to a scalar one. Search for the optimum is then accomplished by a general nonlinear programming algorithm. Since exact solutions for the structural response are not available, the Rayleigh-Ritz method is employed to obtain approximate solutions. Numerical results are presented for different materials and various combinations of clamped, free and simply supported boundary conditions.

Copyright © 1992 by The American Society of Mechanical Engineers
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