Evolutionary thickness design with stiffness maximization and stress minimization criteria

Citation
Q. Li et al., Evolutionary thickness design with stiffness maximization and stress minimization criteria, INT J NUM M, 52(9), 2001, pp. 979-995
Citations number
31
Language
INGLESE
art.tipo
Article
Categorie Soggetti
Engineering Mathematics
Journal title
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
ISSN journal
0029-5981 → ACNP
Volume
52
Issue
9
Year of publication
2001
Pages
979 - 995
Database
ISI
SICI code
0029-5981(20011130)52:9<979:ETDWSM>2.0.ZU;2-D
Abstract
A shape or topology design with the stiffness maximized and the maximum str ess minimized is usually of practical significance in structural optimizati on. This paper proposes a thickness based evolutionary procedure for such m ulticriteria design problems. To make the multicriteria optimization suit t o more realistic structural situations, multiple maximum stress locations a nd multiple load cases are taken into account in this paper. To balance the stiffness and stress criteria, a weighting average scheme is adopted to id entify the overall effects on the two components of design objective due to varying an element's thickness. Adopting the proposed optimization procedu re, a design with maximized static stiffness and minimized peak stress is a chieved 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 (C) 2001 John Wiley & Sons, Ltd.