Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/26831
Title: Optimal design of stepped circular plates with allowance for the effect of transverse shear deformation
Authors: Chung, KC
Wang, CM
Keywords: Circular plates
Optimal design
Optimality conditions
Shear deformation
Stepped plates
Issue Date: 2002
Publisher: Pergamon Press
Source: International journal of mechanical sciences, 2002, v. 44, no. 6, p. 1163-1177 How to cite?
Journal: International journal of mechanical sciences 
Abstract: Presented herein is a canonical exact deflection expression for stepped (or piecewise-constant thickness) circular plates under rotationally symmetric transverse loads. The circular plates may be either simply supported or clamped at the edges. As the plates may be very thick or certain portions of the optimal design may become rather thick, the significant effect of transverse shear deformation on the deflections cannot be ignored. This effect was taken into consideration in accordance to the Mindlin plate theory. Based on the analytical deflection expression, necessary conditions are derived for the optimal values of segmental lengths and thicknesses that minimize the maximum deflection of stepped circular plates of a given volume. These optimality conditions are solved using the Newton method for the optimal segmental lengths and thicknesses. Local minima are observed for this nonlinear problem at hand and they may pose some difficulties in getting the solutions. The shear deformation effect increases the plate deflections, but interestingly it affects the thickness variation marginally.
URI: http://hdl.handle.net/10397/26831
ISSN: 0020-7403
EISSN: 1879-2162
DOI: 10.1016/S0020-7403(02)00036-X
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