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

By A. Makrodimopoulos, A. Bhaskar and A.J. Keane

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 pape

Topics: Q1
Year: 2010
OAI identifier: oai:eprints.soton.ac.uk:69908
Provided by: e-Prints Soton

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