论文部分内容阅读
柔性铰链微位移放大机构在精密机械中的应用日益广泛。依据卡氏第二定理,采用基于柔度的静力学分析方法对柔性机构的运动特性进行分析,给出了机构中任意节点处位移的计算式。在此基础上,对柔性对称微位移放大机构进行了分析,建立了微位移放大机构输入、输出位移及其放大比求解的数学模型。利用所建立的模型,采用MATLAB编程对柔性对称微位移放大机构进行了理论计算,同时对其进行有限元分析,两种方法所得结果基本一致,输入位移、输出位移的相对误差在3%左右,并对误差产生的原因进行了分析。
Flexible hinge micro-displacement amplification mechanism used in precision machinery is increasingly widespread. According to Cartesian second theorem, the motion characteristics of the flexible mechanism are analyzed by using the static analysis method based on flexibility, and the displacement formula at any node in the mechanism is given. On this basis, the flexible symmetrical micro-displacement amplification mechanism is analyzed, and the mathematical model for solving the input and output displacement of the micro-displacement amplification mechanism and its amplification ratio is established. Using the established model, the theoretical calculation of flexible symmetrical micro-displacement amplification mechanism is carried out by MATLAB programming, and the finite element analysis is carried out. The results obtained by the two methods are basically the same, the relative errors of input displacement and output displacement are about 3% The causes of error are analyzed.