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首页> 外文期刊>International Journal of Solids and Structures >Bending of a simple beam to an optically accurate parabolic shape
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Bending of a simple beam to an optically accurate parabolic shape

机译：将简单光束弯曲成光学上精确的抛物线形状

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摘要

Ultra-lightweight optical imaging systems for space based applications are being developed where the primary optical surface is made of reflective stretched membrane material. In these systems, the supporting structure and the optical surface are highly interrelated. The first step in implementing such a precision large membrane optical system is accurately defining the boundary of the membrane area. In this paper, it is shown that a flat constant cross section beam can be elastically shaped to parabolic curvature to very high accuracy using a simple set of end moments and forces. The necessary design relationship between the applied loads are analytically derived for the geometric nonlinear case and shown to apply to a wide range of curvature and apertures sizes. The utility of the method is then demonstrated experimentally. The predicted RMS error from parabolic shape is proportional to the reflector F-number as (F/#)(-4) for off-axis designs and (F/#)(-5) for on-axis designs. This is a feasible and desirable method of forming parabolic boundary members for a range of electromagnetic wavelengths since the constant cross section initially flat beams can be scaled in design and fabrication to very large sizes. This method of forming boundary shape has particular application to Dual Anamorphic Reflector Telescope (DART) designs. (C) 2004 Elsevier Ltd. All rights reserved.
机译：正在开发用于太空应用的超轻型光学成像系统，其中主光学表面由反射拉伸膜材料制成。在这些系统中，支撑结构和光学表面高度相关。实现这种精密的大型膜光学系统的第一步是准确定义膜区域的边界。在本文中，显示了可以使用一组简单的端力矩和力将平坦的恒定截面梁弹性变形为抛物线形，从而具有很高的精度。通过分析得出几何非线性情况下所施加载荷之间的必要设计关系，并显示出它们适用于各种曲率和孔径大小。然后通过实验证明该方法的实用性。根据抛物线形状预测的RMS误差与反射器F数成正比，对于离轴设计为（F /＃）（-4），对于轴上设计为（F /＃）（-5）。这是形成用于一定范围的电磁波长的抛物线形边界构件的可行且合乎需要的方法，因为恒定横截面的初始平面光束可以在设计和制造中按比例缩放到非常大的尺寸。这种形成边界形状的方法特别适用于双变形反射望远镜（DART）设计。 （C）2004 Elsevier Ltd.保留所有权利。

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