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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 106
PROCEEDINGS OF THE TWELFTH INTERNATIONAL CONFERENCE ON COMPUTATIONAL STRUCTURES TECHNOLOGY
Edited by:
Paper 216

An Enumeration Method of Various Optimal Truss Topologies using Optimal Solution by the Interior Point Method

T. Takada

Department of Design and Architecture, School of Environmental Science, The University of Shiga Prefecture, Japan

Full Bibliographic Reference for this paper
T. Takada, "An Enumeration Method of Various Optimal Truss Topologies using Optimal Solution by the Interior Point Method", in , (Editors), "Proceedings of the Twelfth International Conference on Computational Structures Technology", Civil-Comp Press, Stirlingshire, UK, Paper 216, 2014. doi:10.4203/ccp.106.216
Keywords: truss topology optimization, multiobjective optimization, Pareto optimal front, linear programming, interior point method, basic solution..

Summary
This paper deals with an enumeration method of various optimal truss topologies which have the same objective value. In this paper, the truss topology optimization problem (TTOP) is formulated as a multiobjective optimization problem (MOP), which is to find the cross-sectional area of truss members such that both the structural volume and the compliance are minimized. This MOP can be transformed into an equivalent linear programming (LP) problem and the optimal truss topology can be obtained by the interior point method. Using this optimal solution by the interior point method, other various optimal truss topologies with the same objective value can be systematically enumerated. The applications of the proposed method are illustrated in numerical examples with a discussion of the characteristics of the design results.

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