Premium
Evolutionary thickness design with stiffness maximization and stress minimization criteria
Author(s) -
Li Qing,
Steven Grant P.,
Xie Y. M.
Publication year - 2001
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.241
Subject(s) - topology optimization , maximization , stiffness , weighting , minification , mathematical optimization , stress (linguistics) , optimal design , structural engineering , multi objective optimization , finite element method , computer science , topology (electrical circuits) , mathematics , engineering , statistics , medicine , linguistics , philosophy , combinatorics , radiology
A shape or topology design with the stiffness maximized and the maximum stress minimized is usually of practical significance in structural optimization. This paper proposes a thickness based evolutionary procedure for such multicriteria design problems. To make the multicriteria optimization suit to more realistic structural situations, multiple maximum stress locations and multiple load cases are taken into account in this paper. To balance the stiffness and stress criteria, a weighting average scheme is adopted to identify the overall effects on the two components of design objective due to varying an element's thickness. Adopting the proposed optimization procedure, a design with maximized static stiffness and minimized peak stress is achieved by gradually shifting material from the under‐utilized regions onto the over‐utilized ones. The examples show the capabilities of the proposed method for solving multicriteria size and topology designs for both single and multiple load cases. Copyright © 2001 John Wiley & Sons, Ltd.