基于拓扑理论的超高速摄影仪转镜结构设计  

Structure design of rotating mirror based on the topology optimization theory for ultra-high speed camera

作　　者：李春波[1] 余春晖[2] 李景镇 柴金龙[1] 刘春平 凌中水[1] 黄虹宾[1,3] 

机构地区：[1]深圳大学机电与控制工程学院,深圳518060 [2]深圳职业技术学院汽车与交通学院,深圳518055 [3]深圳市微纳光子信息技术重点实验室,深圳518060

出　　处：《深圳大学学报（理工版）》2012年第4期304-310,共7页Journal of Shenzhen University(Science and Engineering)

基　　金：国家自然科学基金资助项目(60978039)~~

摘　　要：提出基于连续体拓扑优化设计理论的转镜结构拓扑描述方式和材料插值模型,利用有限元理论和方法,建立转镜各向同性惩罚微结构单模态拓扑优化插值模型,对转镜的第1阶固有频率进行最大动刚度拓扑优化数值分析,并根据转镜伪密度分布图,修改原有转镜结构.通过对修改前后转镜模态进行数值分析与试验发现,转镜第1阶固有频率由原来的713.6 Hz提高到821.4 Hz,第2阶固有频率值增加48%,第3阶固有频率值增加50%,其他各阶固有频率都有明显提高.试验结果和数值解在误差范围内保持一致.The material interpolation model and structure topology description model of rotating mirror is presented based on the topology optimization of continuum structure, and the single modality interpolation model with topology optimization of solid isotropic microstructures with penalization of rotating mirror is established by the finite element method. Based on this, the maximum dynamic stiffness topology optimization of rotating mirror is achieved to optimize the first natural frequency and to obtain the pseudo-density distribution chart. The original rotating mirror was modified based on the pseudo-density distribution chart. The numerical analysis and experiment of model about the two rotating mirrors are conducted to examine the results of topology optimization analysis. The results show that the first model of the new rotating mirror is improved from 713.6 Hz to 821.4 Hz, the second one increases by 48% and the third one increases by 50%. The natural frequencies of other models are significantly improved. The results from both the numerical analysis and experiment are consistent under the margin of error, showing a new view for improving the dynamic characteristic of rotating mirror effectively.

关 键 词：光学工程 高速摄影 超高速摄影仪 转镜 拓扑优化 动刚度 变密度法 模态分析 惩罚因子 

分 类 号：TB872[一般工业技术—摄影技术] TB853.1