Simultaneous optimization of shape and topology of free-form shells based on uniform parameterization model: Fid-Bau Portal

Simultaneous optimization of shape and topology of free-form shells based on uniform parameterization model

Xia, Yi / Wu, Yue / Hendriks, Max A.N.

Abstract In current optimization methods for free-form shells, the shape and topology are usually optimized separately. These methods are based on the assumption that the shape and topology of a shell influence each other only slightly, but this is not always correct. Moreover, different parameterization models are used in the shape optimization and topology optimization of free-form shells, which brings difficulties to carry out the integrated optimization. To solve this problem, an integrated method is proposed for simultaneously optimizing shape and topology for free-form shells. A uniform parameterization model based on NURBS solids is established to parameterize the free-form shells. In this model, only a small number of variables are used to describe both the shape and topology of the shell. In this way, the integrated optimization problem can be simplified, thus decrease the computational complexity. The integrated optimization of shape and topology is a complicated and large-scale optimization problem. Solving this problem requires a suitable optimization method. In this paper, the Method of Moving Asymptotes (MMA) is adopted. Finally, numerical examples are presented to address the importance of the optimization sequences and show the effectiveness and application of the proposed method.

Highlights • Free-form shells are obtained by optimization of shape and topology. • The best results are obtained by an integrated optimization of shape and topology. • A uniform parameterization model for both shape and topology with a small number of design variables is proposed. • The proposed method can be utilized in thickness optimization and finding the layout of reinforcement material.