Mechanics of Shape Optimization in Plate Buckling
Publication: Journal of Engineering Mechanics
Volume 118, Issue 6
Abstract
The paper addresses the problem of finding an optimum thickness distribution for a rectangular, isotropic plate of given volume and plan dimensions (length and width) that would maximize its uniaxial buckling load, loosely referred to as shape optimization. Earlier studies suggest that optimal profiles are not only characterized by a concave thickness distribution with higher values near the edges compared to the center, but also by a convex distribution with very high thickness at the center compared with the edges. This paradox regarding the nature of the optimal thickness distribution is the subject of the present investigation. It is established that the qualitative nature of optimal thickness distribution is dependent on the assumptions made regarding the prebuckling loading state, that is, whether the uniaxial stress or force per unit length remains constant. The paper also highlights the fact that shape optimization is seriously limited by local buckling considerations and illustrates the interactions between thickness variation, the nature of the prebuckling state, and the influence of boundary conditions in the global context of plate instability.
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Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 118 • Issue 6 • June 1992
Pages: 1249 - 1266
Copyright
Copyright © 1992 ASCE.
History
Published online: Jun 1, 1992
Published in print: Jun 1992
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