Application of the New Interpolation Functions on Topology Optimization of Continuum Structure for Static and Mode Analysis

Abstract

To improve the convergence for topology optimization of continuum structure, a new material interpolation model is proposed. This function curve parameterized by certain penalty is similar to solid isotropic microstructures with penalization (SIMP) curve. In static topology optimization problem, the new interpolation function maintains the advantage of robustness and efficiency similar to the SIMP model. In low density, the ratio of density to interpolation function is kept in limited value. Localized mode problem is overcome naturally based on the new interpolation scheme in dynamic topology optimization problem. Two-dimensional numerical examples are used to test the proposed model and method.The results show that the proposed model and method are feasible and robust in topological optimization design of continuum structure.