Problems and Methods of Optimal Structural Design

Abstract

A Continuation Order Plan is available for this series. A continuation order will bring delivery of each new volume immediately upon publication. Volumes are billed only upon actual shipment. Library of Congress Cataloging in Publication DataBanichuk, Nikolai Vladimirovich.Problems and methods of optimal structural design.(Mathematical concepts and methods in science and engineering; vol. 26) Translation of: Optimizatsiia form uprugikh tel. Inci udes bibliographies and index. 1. Structural design -Mathematical models. 2. Elastic analysis (Theory of structures) 1. Haug, Edward J. II. Title. III. Series.

Analysis of Dual Boundary Element in Shape Optimization

“…The objective function is the compliance of the plate, subject to an area constraint, in which the maximum admissible area is equal to the initial area of the plate. When the central hole is considered as the design boundary, the analytical solution of this problem is given by Banichuk [24]; the optimal shape of the hole is a circumference, when 1 = 2, and it is an ellipse with a semi-axis ratio equal to the ratio of the applied tractions, when 1 ≠ 2. It was considered in both applications with the ratio a/h = 0.125, in plane stress with the elastic constants E = 200 GPa and ν = 0.3.…”

On the optimal design of elastic shafts

“…We look for the shape of Cl such that the rigidity K a is maximized. Among others, this problem has been studied by N. Bamchuk [3], see also other related papers by Cea [6] and CeaMalanowski [8].…”

Structural Optimization of Thin Elastic Plates: The Three Dimensional Approach

“…The search of optimal designs in this context has been the object of several studies. Without any attempt of being complete, we refer to [4,5,8,9,10,23,24,26,32]. In these works it is assumed that any section of the plate is a segment and that the thickness variations are smooth enough for the classical dimension reduction analysis to be applied.…”