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    • 摘要: 针对未来大口径分块光学系统在轨变构重构问题,提出一种大范围曲率可调的轻量化设计方法。首先分析了压电陶瓷材料特性与热应变本构方程之间的关系,推导出压电应变可以由热应变精确等效,并根据挠性曲线方程解算出压电陶瓷变形量,由此实现对边距离为510 mm、曲率半径为9000 mm的ULE (ultra low expansion glass)分块镜参数化建模。仿真结果表明:54个交错式促动器在±20 V控制电压区间可实现分块镜曲率半径变构240.07 mm且呈高度线性变化关系。相关实验结果表明:控制电压在-25~20 V区间变化时,分块镜曲率半径变化量达223.44 mm,并且正向单位电压对应曲率半径变化量较负向大。本文提出的大范围曲率可调分块镜可为后续大口径分块光学在轨变构重构的工程化应用提供新的思路。

       

      Abstract: In response to the on-orbit reconfiguration challenges faced by future large aperture segmented optical systems, a lightweight design method with a wide range of curvature adjustability is proposed. This study initially analyzes the relationship between the characteristics of piezoelectric ceramics and the constitutive equations of thermal strain, deducing that piezoelectric strain can be precisely equivalent to thermal strain. Based on the flexural curve equation, the deformation of piezoelectric ceramics is calculated, enabling the parameterized modeling of an ultra-low expansion (ULE) glass segmented mirror with an edge distance of 510 mm and a curvature radius of 9000 mm. Simulation results indicate that 54 interlaced actuators can achieve a curvature radius reconfiguration of 240.07 mm with a control voltage range of ±20 V, exhibiting a highly linear relationship. Experimental results further demonstrate that when the control voltage is varied between -25 V and 20 V, the change in the curvature radius of the segmented mirror reaches 233.44 mm, with the positive unit voltage corresponding to a greater change in curvature radius than the negative. The proposed method for a wide range of curvature adjustable segmented mirrors provides new insights for the engineering application of large aperture segmented optics in on-orbit reconfiguration.