A performance-based optimization method for topology design of continuum structures with mean compliance constraints

Article

Liang, Qing Quan and Steven, Grant P.. 2002. "A performance-based optimization method for topology design of continuum structures with mean compliance constraints." Computer Methods in Applied Mechanics and Engineering. 191 (13-14), pp. 1471-1489.
Article Title

A performance-based optimization method for topology design of continuum structures with mean compliance constraints

ERA Journal ID4173
Article CategoryArticle
AuthorsLiang, Qing Quan (Author) and Steven, Grant P. (Author)
Journal TitleComputer Methods in Applied Mechanics and Engineering
Journal Citation191 (13-14), pp. 1471-1489
Number of Pages19
Year2002
Place of PublicationNetherlands
ISSN0045-7825
Web Address (URL)http://www.sciencedirect.com/science/journal/00457825
Abstract

[Abstract]: A performance-based optimization (PBO) method for optimal topology design of linear elastic continuum structures with mean compliance constraints is presented in this paper. The performance-based design concept is incorporated in continuum topology optimization, which is treated as the problem of improving the performance of a continuum design domain in terms of the efficiency of material usage and overall stiffness. A simple scheme is employed in the proposed method to suppress the formation of checkerboard patterns. Two energy-based performance indices are derived for quantifying the topology performance of plane stress structures and plates in bending. Performance-based optimality criteria incorporating performance indices are proposed, and can be used in any continuum topology optimization methods for compliance minimization problems to obtain the optimum. Numerical examples are provided to demonstrate the effectiveness and validity of the PBO method in producing optimal topologies of continuum structures.

Keywordstopology optimization, performance index, performance-based design, compliance, finite elements
ANZSRC Field of Research 2020400510. Structural engineering
Public Notes

Deposited in accordance with the copyright policy of the publisher. S0045-7825(01)00333-4.

Byline AffiliationsLiang Computing, Australia
Durham University, United Kingdom
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