Abstract
For a large-aperture space telescope, one of the key techniques is the method for designing the lightweight primary mirror assembly (PMA). In order to minimize the mirror surface error under axial gravity, lateral gravity, and polishing pressure at the same time, a method for topology optimization with multi-objective function combined with parametric optimization is introduced in this paper. The weighted compliance minimum is selected as the objective function to maximum the mirror structural stiffness. Then sensitivity analysis method and size optimization are used to determine the mirror structure parameters. Compared with two types of commonly used lightweight configurations, the new configuration design shows obvious superiority. In addition, the surface figure root mean square (RMS) of the mirror mounted by given bipod flexure (BF) under 1 g lateral gravity is minimized only with a value of 3.58 nm, which proves the effectiveness of the design method proposed in this paper.
Highlights
With the rapid development of aerospace technology, high image resolutions and large fields are in high demand for space cameras
Using a topology optimization with multi-objective function combined with parametric optimization method, we designed a new configuration lightweight mirror considering axial gravity, radial gravity, and polishing pressure simultaneously
The root mean square (RMS) value under each loading case was replaced by the corresponding structural compliance, and the minimum structural weighted compliance was selected as the objective function
Summary
With the rapid development of aerospace technology, high image resolutions and large fields are in high demand for space cameras. (1) to ensure the image quality of the telescope system, the surface wavefront RMS aberration of the mirror is required to be better than λ/60 (λ = 632.8 nm); (2) to decrease the gravity loads and reduce the expensive launch cost, the mass of the mirror must be no less than 14 kg [1,2]. These two conflicting requirements have brought great challenges to the design of the lightweight mirror. Nelson et al [3]
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