A NUMERICAL METHOD OF SHAPE OPTIMIZATION AND THE COARSE LINE SEARCH STRATEGY

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Abstract
The present paper analyses some special features of structural shape optimization and the sizing of elements, such as cross-sectional areas of bars and thicknesses of membranes, and points out that the introduction of a coarse line search strategy is necessary in order to maintain the rigour of mathematical programming and preserve the high efficiency of modern structural size optimization algorithms. Making use of the idea of a coarse line search strategy, we supplement sequential linear programming with the adaptive move limit approach and apply it to minimax problems in shape optimization, i.e. problems of minimizing the maximum stress of a plane stress (plane strain) continuum. Encouraging numerical results are obtained.

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