基于特征值灵敏度分析的超高速摄影仪转镜设计

 利用数值分析方法，通过建立转镜特征值灵敏度分析模型，根据模态分析计算生成转镜特征值灵敏度循环执行文件，选用Monte Carlo法拉丁超立方抽样对转镜结构尺寸参数在其概率密度分布函数内进行抽样计算，统计分析得到反应转镜结构尺寸与特征值之间的Spearman秩相关系数。根据数值分析结果，修改镜体外接圆半径，并对修改前后的转镜分别进行模态数值分析和试验，结果显示转镜1阶模态增大101.8%，1阶临界转速达到8.7×105 r/m，说明根据转镜特征值灵敏度数值分析结果优化转镜结构尺寸是一种实用、有效的方法。

Rotating mirror design of ultra-high speed camera based on eigenvalue sensitivity analysis

Eigenvalue sensitivity analysis model of rotating mirror has been established by means of numerical analysis based on the theory of dynamic modification. The loop files of eigenvalue sensitivity were got based on the modal analysis. With the Latin hypercube sampling of Monte Carlo, the data of structure parameters were sampled by the probability density of the structure size of rotating mirror. The Spearman rank correlation coefficient between eigenvalue and structure size was obtained by calculation. The result shows that the spearman rank correlation coefficient of basic variables is different from each other, which reveals that the variables impact the natural frequency in different ways. According to the result, the circumcircle radius of the mirror body was modified, the numerical analysis and experiments of the two rotating mirror were done. The results show that the first-order modal rotating mirror is increased 101.8%, the first critical speed is 8.7 × 105 r/m and the dynamic performance of rotating mirror is effectively changed. This indicates that the way of eigenvalue sensitivity analysis based on the results of numerical analysis to optimize the structure size of the rotating mirror is a practical and effective method.