Curing shrinkage stress and deformation analysis of adhesive bonding large aperture mirror

Li-jun Sun; Li-bo Li; Si-yuan Li; Qiang Zhao; Jian Sun; Jun-qiang Wu; Bing-liang Hu

doi:10.1117/12.2505710

11 January 2019 Curing shrinkage stress and deformation analysis of adhesive bonding large aperture mirror

Li-jun Sun, Li-bo Li, Si-yuan Li, Qiang Zhao, Jian Sun, Jun-qiang Wu, Bing-liang Hu

Proceedings Volume 10837, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes; 108370J (2019) https://doi.org/10.1117/12.2505710
Event: Ninth International Symposium on Advanced Optical Manufacturing and Testing Technologies (AOMATT2018), 2018, Chengdu, China

Abstract

The influence of adhesive bonding and curing on the accuracy of mirror surface shape was analyzed to realize low-stress assembly of large aperture mirror. Firstly, based on Hooke's law, a curing shrinkage stress equation was deduced, taking deformation of the mirror and support structure into account under the boundary condition of continuous edge bond, and key parameters effecting mirror deformation were obtained. Secondly, for a 514mm ULE spectrometer primary mirror with an inserts structure mosaiced and bonded on mirror-back, an equivalent linear expansion coefficient method was used for finite element modeling. The shrinkage stress at the bond edge of mirror and the mirror surface shape were analyzed. It’s found that adhesive shrinkage has a significant effect on the mirror surface shape. Finally, the inserts structure of mirror assembly was optimized. In contrast to the non-optimum structure, the average stress of adhesive surface caused by adhesive curing shrinkage reduced from 0.28MPa to 0.18MPa, and the mirror surface shape (Root Mean Square, RMS) reduced from 0.029λ to 0.017λ. Finite element analysis results of the mirror assembly were given at last, surface shape accuracy (RMS) of mirror is 0.012λ under a load case of 1g gravity, and the first-order natural frequency of the component is 216 Hz. The obtained results showed that a suitable optimized support structure can effectively relieve adhesive curing stress, and also satisfy the design requirements for both the static and dynamic stiffness.

Citation Download Citation

Li-jun Sun, Li-bo Li, Si-yuan Li, Qiang Zhao, Jian Sun, Jun-qiang Wu, and Bing-liang Hu "Curing shrinkage stress and deformation analysis of adhesive bonding large aperture mirror", Proc. SPIE 10837, 9th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Large Mirrors and Telescopes, 108370J (11 January 2019); https://doi.org/10.1117/12.2505710

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KEYWORDS

Mirrors

Adhesives

Finite element methods

Mirror structures

Shape analysis

Modal analysis

Analytical research

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