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
365-380
Makrodimopoulos, A.
ba87ad2d-2351-4bd4-bd22-de921b3a8070
Bhaskar, A.
d4122e7c-5bf3-415f-9846-5b0fed645f3e
Keane, A.J.
26d7fa33-5415-4910-89d8-fb3620413def
January 2010
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), .
(doi:10.1007/s00158-009-0376-2).
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
Text
Makr_2010.pdf
- Accepted Manuscript
More information
Submitted date: 22 September 2008
Published date: January 2010
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
ISSN: 1615-147X
PURE UUID: df3aaa62-c128-484a-aa29-c9daf3966e30
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Date deposited: 10 Dec 2009
Last modified: 14 Mar 2024 02:39
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Author:
A. Makrodimopoulos
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