Smooth boundary design for geometry projection topology optimization

Abstract

Abstract In order to realize the smooth boundary design for Geometry Projection Topology Optimization(GPTO), a static and dynamic multi-objective design method for geometry projection topology optimization is proposed in this paper. Taking the structure volume as the constraint, the maximum static stiffness and the minimum dynamic frequency eigenvalue as the objective, the optimization is carried out through different scale coefficients and the optimization model is established. At present, the mainstream topology optimization based on geometric parts, such as MMC or GPTO or Feature driven method, requires the geometric parts to be arranged in advance to obtain the optimal design, and the design results largely depend on the initial layout, which brings certain limitations to the structural optimization design. Based on the original GPTO method, this paper optimizes the dynamic frequency of the structure according to the local modal phenomenon of SIMP method. To a certain extent, the complexity of the structure is optimized, and the boundary of the structure is smoother, which can better meet the requirements of the project. The numerical results show that the model and method adopted in this paper are feasible and effective in seeking the smooth boundary design based on GPTO.