A novel node-based structural shape optimization algorithm
A novel, node-based shape optimization method is developed for planar structures based on the consideration that the critical stress and displacement constraints are generally located along or near the structural boundary. The proposed method puts the maximum weights on the selected boundary nodes, referred to as the design points, so that the time-consuming sensitivity analysis is based on the perturbation of only these nodes. The method also allows large shape changes to achieve the optimal shape. The design variables are specified as the moving magnitudes for the prescribed design points that are always located at the structural boundary.
structural shape optimization adaptive mesh refinement b-spline function design sensitivity analysis error estimation finite element analysis