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Curvilinear search for structural optimization

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Abstract

This paper proposes an idea of curvilinear search for nonlinear programming. For the unconstrained and constrained problem, ordinary differential equations are derived to describe descending curves in which values of the objective function decrease. The strategy of the curvilinear search is to repeatedly perform a one-dimensional search at approximate descending curves. The curves are constructed by means of approximate analytical and numerical expressions that are investigated in the paper. The method is applied to solve the optimization problem of the truss structure. Computational results of examples show the efficiency of the method.

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  1. Research Institute of Engineering Mechanics, Dalian University of Technology, 116023, Dalian, P.R. China

    Y. K. Sui

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  1. Y. K. Sui
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Sui, Y.K. Curvilinear search for structural optimization. Structural Optimization 12, 106–112 (1996). https://doi.org/10.1007/BF01196942

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  • DOI: https://doi.org/10.1007/BF01196942

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