Abstract
This chapter presents feature-based modeling and sensitivity analysis for structural optimization. The feature-based model is constructed through Boolean intersection between a topology variation modeler (TVM) and a freeform design domain modeler (FDDM). Three common formulations are presented for structural optimization problems. The active-set strategy is combined with the dynamic aggregation technique to reduce the number of local stress constraints greatly. Within the framework of fixed mesh, sensitivity analysis with respect to featured design variables is developed in the form of both narrow-band domain integral and boundary integral. Compared with the existing level-set based method, the important sensitivity property of design domain preserving makes it possible to avoid automatically the boundary violation of the design domain caused by the zero level-set movement. By means of the Hamilton-Jacobi equation, analytical shape sensitivity is formulated for the parametric boundary representation.
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