大转角快速反射镜柔性机构的优化设计与动态分析

Optimization Design and Dynamic Analysis of Flexible Mechanism for Large-Angle Fast Mirror

  • 摘要: 针对压电驱动快速反射镜普遍存在的偏转范围小、扫描频率低等问题,本文设计了一种具有较大偏转角度的压电驱动快速反射镜柔性机构。首先开展了柔性机构嵌套级数、构型方式与固有频率、放大系数的相关性研究,得出了三级混合构型的初步设计方案。进一步将该机构离散为柔性铰链、刚性体和集中质量等基本单元,结合矩阵位移法,构建了柔性机构的通用动力刚度模型,得出柔性机构的结构参数与快速反射镜偏转角度的映射关系。在此基础上,对快速反射镜柔性机构关键尺寸参数进行优化设计,开展了柔性机构的模态分析。与国内外同类研究相比,该机构可以在保证较高一阶固有频率的基础上实现100 mrad机械偏转角度。

     

    Abstract: This study presents the design of a flexible mechanism with a large deflection angle for piezoelectric-driven fast-reflecting mirrors, to address the common issue of small deflection range. First, a study was conducted on the correlation among the nested hierarchy, configuration, natural frequency, and amplification factor of the flexible mechanism. Accordingly, a preliminary plan was developed for the design of a three-stage hybrid configuration. The mechanism was discretized into flexible hinges, rigid bodies, and concentrated masses as basic units. Subsequently, a general dynamic stiffness model was constructed for the flexible mechanism using the matrix displacement method. This model establishes a mapping relationship between the structural parameters of the flexible mechanism and the deflection angle of the fast-reflecting mirror. On this basis, a modal analysis of the flexible mechanism was performed, whereby the key dimensional parameters of the fast-reflecting mirror's flexible mechanism were optimized. Compared to similar research conducted domestically and internationally, this configuration achieves a mechanical deflection angle greater than 100 mrad by ensuring miniaturization and a higher first-order natural frequency.

     

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