考虑全柔性单元复杂变形的微位移放大机构刚度分析

    Stiffness Analysis of Micro-driving Displacement Amplifier Module Considering Complex Deformation of All Flexible Structure Units

    • 摘要: 提出一种考虑全柔性单元复杂变形的平面柔性机构刚度分析方法, 除将底座视为刚性单元外, 其余全部视为柔性单元, 然后根据力平衡方程即可得到机构整体刚度.该方法综合考虑了各柔性单元在各向的变形, 使得分析结果更接近实际情况, 同时避免了其他方法需要单独处理的柔性单元与刚性单元的位移协调问题, 可大大减少计算量.应用多种方法对一种微位移放大模块的刚度进行了研究.全柔性单元法的分析结果更接近ANSYS仿真结果, 并表明机构的整体刚度K与动力臂和阻力臂的比值有关, 两者相等时近似取得最小值, 为刚度与阻力臂的关系曲线拐点, 分析结果对给定刚度的杠杆放大机构参数设计具有重要意义.

       

      Abstract: Considering the complex deformation of all flexible structure units, a stiffness analysis method of planar compliant mechanism is put forward. By treating each structure unit other than the base as the flexible unit, the whole structure stiffness can be obtained based on force equilibrium equations. Deformation of all the flexible units is synthetically considered in each direction, which makes the result close to its actual situation to a great extent. At the same time, a large amount of computational work is reduced by avoiding deformation-compatibility problem between flexible and rigid units, which must be dealt with separately for other methods. Stiffness of a micro-driving displacement amplifier module is analyzed by a few different methods.Results of the complete flexible unit method are much more close to that of ANSYS. The mechanism stiffness K is proved to be related to the ratio of power arm and resisting arm and gains minimum when the two arms are equal. The inflection point of stiffness-resisting arm history occurs just in this situation. These results are of great importance for the parameter design of lever-amplifier mechanism with given stiffness.

       

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