A performance-based optimization method for topology design of continuum structures with mean compliance constraints
type: Item
instance of: scholarly article
title: A performance-based optimization method for topology design of continuum structures with mean compliance constraints
zbMATH Open document ID: 1098.74660
DOI: 10.1016/S0045-7825(01)00333-4
author: Qing Quan Liang
author: G. P. Steven
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2002-05-15T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 74P15
Mathematics Subject Classification ID: 74S05
zbMATH DE Number: 1741989
zbMATH Keywords: Topology optimization
zbMATH Keywords: Performance index
zbMATH Keywords: Performance-based design
zbMATH Keywords: Compliance
zbMATH Keywords: Finite elements
describes a project that uses: SHAPE
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1741989