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Second-order cone programming formulations for a class of problems in structural optimization

Second-order cone programming formulations for a class of problems in structural optimization
Second-order cone programming formulations for a class of problems in structural optimization
This paper provides efficient and easy to implement formulations for two problems in structural optimization as second-order cone programming (SOCP) problems based on the minimum compliance method and derived using the principle of complementary energy. In truss optimization both single and multiple loads (where we optimize the worst-case compliance) are considered. By using a heuristic which is based on the SOCP duality we can consider a simple ground structure and add only the members which improve the compliance of the structure. It is also shown that thickness optimization is a problem similar to truss optimization. Examples are given to illustrate the method developed in this paper
structural optimization, truss optimization, thickness optimization, second-order cone programming
1615-147X
365-380
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def

Makrodimopoulos, A., Bhaskar, A. and Keane, A.J. (2010) Second-order cone programming formulations for a class of problems in structural optimization. Structural and Multidisciplinary Optimization, 40 (1-6), 365-380. (doi:10.1007/s00158-009-0376-2).

Record type: Article

Abstract

This paper provides efficient and easy to implement formulations for two problems in structural optimization as second-order cone programming (SOCP) problems based on the minimum compliance method and derived using the principle of complementary energy. In truss optimization both single and multiple loads (where we optimize the worst-case compliance) are considered. By using a heuristic which is based on the SOCP duality we can consider a simple ground structure and add only the members which improve the compliance of the structure. It is also shown that thickness optimization is a problem similar to truss optimization. Examples are given to illustrate the method developed in this paper

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Submitted date: 22 September 2008
Published date: January 2010
Related URLs:
Keywords: structural optimization, truss optimization, thickness optimization, second-order cone programming
Organisations: Computational Engineering and Design

Identifiers

Local EPrints ID: 69908
URI: http://eprints.soton.ac.uk/id/eprint/69908
DOI: doi:10.1007/s00158-009-0376-2
ISSN: 1615-147X
PURE UUID: df3aaa62-c128-484a-aa29-c9daf3966e30
ORCID for A.J. Keane: ORCID iD orcid.org/0000-0001-7993-1569

Catalogue record

Date deposited: 10 Dec 2009
Last modified: 14 Mar 2024 02:39

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Contributors

Author: A. Makrodimopoulos
Author: A. Bhaskar
Author: A.J. Keane ORCID iD

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