研究目的
To minimize the mirror surface error under axial gravity, lateral gravity, and polishing pressure simultaneously for a large-aperture space telescope primary mirror assembly.
研究成果
The proposed method effectively designs a lightweight mirror with superior optical performance, minimizing surface error to 3.58 nm under lateral gravity, and combines advantages of classic designs with high stiffness and lightweight ratio.
研究不足
The topology optimization results require reestablishment and subjective adjustments for practical engineering implementation; the method may be computationally intensive and limited to specific mirror sizes and materials.
1：Experimental Design and Method Selection:
Topology optimization with multi-objective function using OptiStruct software, combined with parametric optimization and sensitivity analysis. The weighted compliance minimum is used as the objective function to maximize structural stiffness.
2：Sample Selection and Data Sources:
A large-aperture primary mirror with specific dimensions (outside diameter 610 mm, inside diameter 86 mm, outer edge thickness 70 mm) made of SiC material.
3：List of Experimental Equipment and Materials:
Software tools include HyperMesh, OptiStruct, ANSYS Workbench, MATLAB; materials include SiC mirror.
4：Experimental Procedures and Operational Workflow:
Establish finite element model with cyclic symmetry, perform topology optimization with constraints (volume fraction, nodal displacement, draft direction), add auxiliary ribs, conduct sensitivity analysis and size optimization, compare with classic lightweight mirrors.
5：Data Analysis Methods:
Finite element analysis for deformation, Zernike polynomials for surface error fitting, RMS and PV calculations.
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