Elastic bending of Variable Curvature Mirrors: validation of a simplified analytical method

Abstract : This work explores the variable curvature mirror's (VCM) elastic bending rules through modeling it as a thin elastic plate with an exponential thickness distribution actuated with a uniform pressure under simply supported boundary conditions. By using the small-parameter method, the general analytical expression of a plate's deflection is worked out. The results calculated by the analytical solution are compared to the finite element analysis of a VCM model with the same specific parameters. We demonstrate that the two have a good correlation with the one the other. This analytical solution is an effective way to predict a VCM's deflection.
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https://hal.archives-ouvertes.fr/hal-02263700
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Submitted on : Monday, August 5, 2019 - 3:10:55 PM
Last modification on : Friday, August 9, 2019 - 1:04:30 AM

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  • HAL Id : hal-02263700, version 1

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Xiaopeng Xie, Hui Zhao, Emmanuel Hugot, Liang Xu, Sabri Lemared, et al.. Elastic bending of Variable Curvature Mirrors: validation of a simplified analytical method. Applied optics, Optical Society of America, 2019. ⟨hal-02263700⟩

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