Optimization design of space mirror support based on topology optimization method

Abstract

An optimal design method for lateral support structure of space telescope based on topology optimization theory and substructure method is presented in this paper. Introduced how to simplify the finite element model by substructure method in the process of analysis. Topology optimization is performed on the reduced model. Based on the variable density method (SIMP method), a mathematical model of continuum structure topology optimization is created to achieve efficient use of materials. Design a new type of mirror support structure. Consider the shape of the mirror which under axial gravity, radial gravity and temperature load conditions. The fundamental frequency of the mirror and the displacement of the rigid body are constrained, and the manufacturability of the topological results are also considered. The static and modal analysis of the structure using finite element method shows that the basic frequency and the shape precision of the mirror can meet the design requirements (the fundamental frequency f >120Hz, the surface accuracy is better than λ/60 RMS, λ/10 PV). This shows the feasibility of the method proposed in this paper in the design.