拉杆式压弯聚焦镜组件线性与接触非线性方法的比较

在压弯聚焦镜的工程分析中,采用接触非线性分析方法分析某些关键部位可提高分析精度,比以往只用线性分析得出的结果更接近实际情况。针对用线性分析方法分析所研究的对象求解误差较大,本文分析了系统产生非线性的主要因素。对某压弯聚焦镜组件进行了有限元建模,采用接触非线性分析方法对拉杆被拉弯时聚焦镜的响应进行了分析。对比非线性分析和检测结果可知,当压弯的矢高相等时,检测结果和非线性分析的斜率和半径误差在0.4μrad和5km范围内,基本满足要求。对比线性分析、非线性分析的结果和实验数据表明:采用非线性分析的结果更接近实际情况,完全可在误差允许的范围内模拟压弯机构的实际压弯情况。

Comparison on linear and contact nonlinear analysis methods of pull-rod bent focusing mirror assembly

For analysis on pull-rod bent focusing mirror assemblies in engineering, the accurate results can be obtained by a contact nonlinear method rather than a linear analysis. As analysis of a nonlinear system by linear method shows a bigger error, this paper researches the causes of errors. A pull-rod bent focusing mirror assembly is simulated by the finite element method, then the contact nonlinear analysis method is introduced to analyze the response of focusing mirror when its pull-rod is bended. In comparison of the nonlinear analysis results with detection results, it is pointed out that the errors between them on scope and radius are 4 μrad and 5 km when the bent vector height of focusing mirror is a constant, which can meet the requirements of engineering. Finally, the tested results of the bent focusing mirror from linear analysis, nonlinear analysis and detection are compared, which indicates that the nonlinear analysis is closer to a real system in engineering analysis and suits to simulate the real conditions at the scope of limited errors.