Layout and Generalized Shape Optimization by Iterative COC Methods

Abstract

On the basis of the optimal layout theory discussed in the preceding lecture, an iterative COC procedure is outlined and then applied to problems involving optimal plastic design and optimal elastic design with a given compliance. It is demonstrated that (i) the proposed method can handle up to several thousand potential members and (ii) the results show an excellent agreement with analytical solutions. An additional example with two alternate loading conditions is presented and it is found that for that case, the optimal plastic design differs from the optimal elastic design. Finally, the problem of generalized shape optimization is reviewed and an improved homogenization method is put forward.