基于柔性铰链的光纤定位器：设计优化以跟随任意焦平面曲率
Flexure based fibre positioners: design optimisation to follow arbitrary focal plane curvature
AI总结：
本文提出两种优化柔性铰链光纤定位器几何形状的方法（解析法与有限元法），以跟随任意焦面曲率并定向光纤，适用于WST设计，并进行了灵敏度分析。
摘要：
多个研究机构正在积极研究利用柔性铰链实现光纤定位器运动，例如英国天文技术中心（UKATC）和莱布尼茨天体物理研究所（Leibniz-Institute for Astrophysics Potsdam）。使用柔性铰链设计时的一个挑战是可用自由度数量庞大，这使得手动优化其运动变得困难甚至不可能。在本文中，我们展示了两种优化柔性铰链几何形状以跟随任意焦面曲率并以任意倾斜角定向光纤的方法。这些方法是：基于MATLAB模型的解析方法和基于Ansys的有限元分析（FEA）方法。这两种方法互补，使设计者能够高效地探索参数空间，然后对柔性铰链几何形状进行精确优化。我们证明了这些方法既适用于UKATC为WST（宽视场光谱望远镜）的首选设计，也普遍适用于基于柔性铰链的光纤定位器设计。我们还提出了一项灵敏度分析，将设计参数的微小变化与光纤尖端运动的变化联系起来。最后，我们简要介绍了UKATC为WST光纤定位器首选的几何形状。
英文摘要：
The use of flexures to achieve fibre positioner motion is being actively investigated by several institutes, for example at the UK Astronomy Technology Centre (UKATC) and Leibniz-Institute for Astrophysics Potsdam. One challenge when designing with flexures is the large number of degrees of freedom available which makes it difficult or impossible to optimise their motion by hand. In this paper we demonstrate two approaches for optimising flexure geometry to follow arbitrary focal surface curvature and to orient the optical fibre with arbitrary tilt. These approaches are: analytical using MATLAB models and FEA based using Ansys. The approaches are complementary allowing the designer to efficiently explore the parameter space and then do precise optimisation of the flexure geometry. We demonstrate the applicability both to the UKATCs preferred design for WST, and to flexure-based fibre positioner designs generally. We also present a sensitivity analysis relating small changes in design parameters to changes in fibre tip motion. Finally we briefly present the UKATCs preferred geometry for the WST fibre positioner.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
