Optimal design of stepped circular plates with allowance for the effect of transverse shear deformation.
type: Item
instance of: scholarly article
title: Optimal design of stepped circular plates with allowance for the effect of transverse shear deformation.
zbMATH Open document ID: 1054.74036
DOI: 10.1016/S0020-7403(02)00036-X
author: Yanyan Li
published in: International Journal of Mechanical Sciences
publication date: 2003-04-02T00:00:00Z
review text: Presented is a canonical exact deflection expression for stepped (or of 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 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.
reviewed by: Stefan Jendo
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74K20
zbMATH DE Number: 1891126
MaRDI profile type: Publication
full work available at URL: s0020-7403(02)00036-x
OpenAlex ID: W2027154598
description: scientific article; zbMATH DE number 1891126