基于传递矩阵法的柔性杠杆放大机构刚度分析

发布时间：2018-09-18 11:42

【摘要】：刚度是影响柔性微动机构动态性能和定位精度的重要指标。将工程中的传递矩阵概念引入到刚度分析中,首先根据结构特点将柔性微动机构模块化并将各子单元视为柔性体,全面考虑其轴向、剪切和弯曲等变形,求解各子单元柔性体的传递矩阵,然后通过传递矩阵将各子单元组合,最后根据力平衡建立柔性微动机构输入力和输出位移之间的关系模型。研究结果表明,传递矩阵法由于考虑了各单元的多维度真实变形,因此保证了结果的高精度。同时分析过程不需要求解刚柔单元变形协调方程,而且避免了微动机构全局坐标系的转换,减少了分析计算量。最后应用该方法建立了一种柔性杠杆放大微动机构的刚度模型,与有限元分析结果的对比误差小于6.4%,有效提高了分析精度,为参数设计提供了重要理论依据。
[Abstract]:Stiffness is an important index that affects the dynamic performance and positioning accuracy of flexible fretting mechanism. The concept of transfer matrix in engineering is introduced into stiffness analysis. Firstly, the flexible fretting mechanism is modularized according to the structural characteristics and each subelement is considered as a flexible body, and its axial, shear and bending deformation are considered comprehensively. The transfer matrix of each subelement flexible body is solved, then the subunits are combined by the transfer matrix. Finally, the relationship between the input force and output displacement of the flexible fretting mechanism is established according to the force balance. The results show that the transfer matrix method can ensure the high accuracy of the results because it takes into account the multi-dimensional real deformation of each element. At the same time, there is no need to solve the deformation coordination equation of rigid and flexible element, and the transformation of global coordinate system of fretting mechanism is avoided, and the amount of analysis and calculation is reduced. Finally, a stiffness model of flexible lever magnifying fretting mechanism is established by using this method. The error of comparison with the result of finite element analysis is less than 6.4, which effectively improves the precision of analysis and provides an important theoretical basis for parameter design.
【作者单位】：山东理工大学机械工程学院;
【基金】：国家自然科学基金(61303006) 山东省优秀中青年科学家科研奖励基金(BS2012ZZ009) 山东理工大学青年教师发展支持计划(2013-02)~~
【分类号】：TH112

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