A Multiscale Topology Optimization Methodology Based on Sequential Element Rejection–Admission and Boundary Element Evolvement

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To enhance both the solution speed and quality of a topology optimization (TO), a multiscale TO methodology by combining the sequential element rejection-admission (SERA) and boundary element evolvement is presented. In the proposed SERA approach, only the sensitivities of the boundary elements need to be computed and used, and an adaptive parameter updating strategy is introduced to balance the requirements on both convergence and quality performances. To eliminate the dependence of the final solution on the initial topology, a new hole generating mechanism is proposed. In addition, a sensitivity filter is designed to remove the checkerboard patterns as well as to further eliminate the mesh-dependent problem. Numerical results are reported to showcase the merits of the proposed methodology.