光学元件六自由度微定位机构设计

Zhang Defu, Liang Xianling, Ni Mingyang, Lin Pengzhi, Dong Lijian, Rui Dawei, Z. Jianguo
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引用次数: 2

摘要

针对光学系统中元件高精度位移补偿的要求,提出了一种六自由度位移调节机构。阐述了该机构的组成和工作原理。建立了机构的输出柔度模型和输入刚度模型。将有限元分析(FEA)所得结果与柔度矩阵法(CMM)所得结果进行了比较。根据有限元分析结果,建立了机构的位移雅可比矩阵。有限元分析和三坐标测量得到的输出柔度分别为16.081um/N和14.138 um/N,偏差为12.083%。有限元分析和三坐标测量得到的输入刚度分别为22.483 N/um和22.127 N/um,误差为1.605%。有限元分析结果表明,该机构的平移行程和旋转行程分别大于50 μ m和200 μ ad。当达到全行程时,对机构的最大应力小于50 MPa。通过调整透镜元件引入的表面图形小于1nm。结果表明,该方法是可行的,为六自由度光学元件的设计提供了依据。
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Design of 6 degree-of-freedom micro-positioning mechanism for optical elements
For requirements of high-precision displacement compensation of components in optical system, a 6 degree-of-freedom (6-DOF) displacement adjustment mechanism is presented in this paper. The composition and working principle of the mechanism are expatiated. The output compliance and the input stiffness model of the mechanism are established. The results obtained by the finite element analysis (FEA) are compared with that got by the compliance matrix method (CMM). The displacement Jacobian matrix of the mechanism is established according to the FEA results. The output compliance obtained by the FEA and the CMM are 16.081um/N and 14.138 um/N, respectively, and the deviation is 12.083%. The input stiffness got by the FEA and the CMM are 22.483 N/um and 22.127 N/um respectively, and the deviation is 1.605%. The FEA results show that the translation and rotation stroke of the mechanism are larger than 50 um and 200 urad, respectively. The maximum stress on the mechanism is less than 50 MPa when the full stroke is reached. The surface figure introduced by adjusting the lens element is less than 1nm. The results show that the method is feasible and provides the design basis for 6-DOF optical elements.
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