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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 40
ADVANCES IN OPTIMIZATION FOR STRUCTURAL ENGINEERING
Edited by: B.H.V. Topping
Paper VII.1

Study on Topology Optimization of Truss Structures under Multiple Static Loading Conditions with Nonlinear Behaviour Constraints

B.Y. Duan*, S.H. Ye* and A.B. Templeman#

*Department of Mechanical Engineering, Xidian University, Xi'an, China
#Department of Civil Engineering, Liverpool University, Liverpool, United Kingdom

Full Bibliographic Reference for this paper
B.Y. Duan, S.H. Ye, A.B. Templeman, "Study on Topology Optimization of Truss Structures under Multiple Static Loading Conditions with Nonlinear Behaviour Constraints", in B.H.V. Topping, (Editor), "Advances in Optimization for Structural Engineering", Civil-Comp Press, Edinburgh, UK, pp 157-166, 1996. doi:10.4203/ccp.40.7.1
Abstract
A topology optimization method for truss structures under multiple static loading conditions (MSLCs) is submitted in this paper. In the method, the member force and the cross-sectional area are considered as the design variables and the structural weight as the objective function. The topology optimization problem under MSLCs is mathematically stated as a non-smooth programming problem which is transformed into a smooth one by means of a variable transforming technique. As a result, the solution of the primary problem is equal to the superposition of the solutions of several simple LP problems.

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