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Civil-Comp Proceedings
ISSN 1759-3433
CCP: 55
Edited by: B.H.V. Topping
Paper XVI.3

Effective Implementation of Approximations in Structural Optimization

U. Kirsch

Department of Civil Engineering, Technion, Israel Institute of Technology, Haifa, Israel

Full Bibliographic Reference for this paper
U. Kirsch, "Effective Implementation of Approximations in Structural Optimization", in B.H.V. Topping, (Editor), "Advances in Computational Structural Mechanics", Civil-Comp Press, Edinburgh, UK, pp 391-398, 1998. doi:10.4203/ccp.55.16.3
Some approximation concepts, intended to reduce the computational effort during optimization of structural systems, are presented. High quality approximations of the response functions are introduced and used to evaluate both the constraint values and constraint derivatives. The various approximations are then integrated into an effective procedure for structural optimization. The solution is carried out by selecting a sequence of direction vectors in the design space. For each selected direction, optimization is carried out in a corresponding two dimensional design plane, with only a single independent variable. As a result, the number of directions selected and the overall computational effort involved in the solution process are significantly reduced. In some typical cases, only 2 - 3 exact analyses are sufficient to introduce adequate approximations for the whole design process.

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