多工况下经纬仪基座拓扑优化设计  

Topology Optimization Design of Theodolite Pedestal under Multiple Working Conditions

作　　者：吴迪[1] 王冲 陈苡生 王强龙[1] 王晓明[1] WU Di;WANG Chong;CHEN Yi-sheng;WANG Qiang-long;WANG Xiao-ming(Changchun Institute of Optics,Fine Mechanics and Physics,Chinese Academy of Sciences,Changchun 130033;Graduate School of Chinese Academy of Sciences,Beijing 100039)

机构地区：[1]中国科学院长春光学精密机械与物理研究所,长春130033 [2]中国科学院研究生院,北京100039

出　　处：《长春理工大学学报（自然科学版）》2020年第4期63-66,111,共5页Journal of Changchun University of Science and Technology(Natural Science Edition)

基　　金：国家重点研发计划项目(2018YFF01011503);吉林省科技厅项目(20190103015JH)。

摘　　要：基座刚度对经纬仪垂直轴系晃动误差影响较大,垂直轴系晃动误差同时影响水平轴系误差以及光轴指向误差,进而影响经纬仪跟踪精度。经纬仪在跟踪过程中转台在基座上连续转动,光学系统的质量经过立柱传递到基座上的载荷位置不断变化,现有的圆周对称基座结构在三点支撑条件下,因为变形不均匀造成垂直轴系晃动误差较大。采用拓扑优化方法中的固体各向同性材料惩罚模型方法(SIMP),得到基座在综合考虑多种工况情况下的材料最佳分布。仿真分析对比现有基座结构和优化的基座结构的重量和最大轴向变形。拓扑优化产生的材料分布可以指导基座优化设计,改善极端工况下变形不一致情况,降低经纬仪垂直轴系晃动误差。The stiffness of the pedestal has great influence on the vibration error of the vertical axis system of theodolite.The jitter error of the vertical axis system affects the tracking accuracy of theodolite while affecting the horizontal axis system error and the optical axis pointing error at the same time.During the tracking process,the turntable rotates continuously on the pedestal.The load of the optical system passes continuously from the column to the pedestal.The existing symmetrical pedestal structure is supported by three points.Because of the uneven deformation,the shafting error of the vertical shafting is very large.In this paper,the method of penalty model of solid isotropic material(SIMP)in topology optimization is used to obtain the optimal material distribution of the pedestal under multiple conditions.The weight and the maximum axial deformation of the existing pedestal structure and the optimized pedestal structure are compared with the simulation analysis.The material distribution produced by topology optimization can guide the optimization design of the pedestal,improve the deformation inconsistency under extreme conditions,and reduce the shaking error of vertical axis system of theodolite.

关 键 词：三点支撑 基座 多工况 拓扑优化 

分 类 号：TH745[机械工程—光学工程]