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Introducing the sequential linear programming level-set method for topology optimization

Dunning, Peter D. and Kim, H. Alicia 2015. Introducing the sequential linear programming level-set method for topology optimization. Structural and Multidisciplinary Optimization 51 (3) , pp. 631-643. 10.1007/s00158-014-1174-z

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Abstract

This paper introduces an approach to level-set topology optimization that can handle multiple constraints and simultaneously optimize non-level-set design variables. The key features of the new method are discretized boundary integrals to estimate function changes and the formulation of an optimization sub-problem to attain the velocity function. The sub-problem is solved using sequential linear programming (SLP) and the new method is called the SLP level-set method. The new approach is developed in the context of the Hamilton-Jacobi type level-set method, where shape derivatives are employed to optimize a structure represented by an implicit level-set function. This approach is sometimes referred to as the conventional level-set method. The SLP level-set method is demonstrated via a range of problems that include volume, compliance, eigenvalue and displacement constraints and simultaneous optimization of non-level-set design variables.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Engineering
Subjects: T Technology > TA Engineering (General). Civil engineering (General)
Publisher: Springer Verlag
ISSN: 1615-147X
Date of First Compliant Deposit: 3 June 2016
Date of Acceptance: 17 September 2014
Last Modified: 14 Dec 2020 02:26
URI: https://orca.cardiff.ac.uk/id/eprint/91346

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