This article, which is based on the topology optimization theory, considered the lightweight design of large aperture reflectors. Firstly, the material selection is based on the low temperature environment and the low temperature infrared optical mechanical structure design principles. Then, by using the minimum deformation of the mirror surface as the objective function, mirror volume and rigid body displacement as design restraints, and imposing manufacturing constraints, a conceptual design of the mirror back with manufacturability was accomplished. Finally, by using the finite element analysis method to compare the performance of the topologically optimized mirror and the primal mirror, it shows that the topologically optimized mirror met the design requirements in terms of lightening effect and structural rigidity, and the surface figure met the requirements under the influence of gravity, which emphasizes the feasibility and practicality of topology optimization in the large aperture mirror’ design.
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.
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