|本期目录/Table of Contents|

一类桥式直接耦合柔性机构的刚度与应力分析

《纳米技术与精密工程》[ISSN:1672-6030/CN:12-1351/O3]

期数:
2009年6期
页码:
0
栏目:
微机电系统
出版日期:
2009-11-15

文章信息/Info

Title:
Stiffness and Stress Analysis of a Class of Bridge-Type Direct Coupling Compliant Mechanism
作者:
张兆成 胡泓
哈尔滨工业大学机电工程学院,哈尔滨,150001
Author(s):
ZHANG Zhao-cheng HU Hong
关键词:
桥式 柔性机构 刚度 应力 有限元方法
Keywords:
bridge-type compliant mechanism stiffness stress finite element method
分类号:
-
DOI:
-
文献标识码:
-
摘要:
分析了一类桥式直接耦合柔性机构的精确的刚度和应力模型.分别采用伪刚体模型和卡氏第二定理推导了该柔性机构理论刚度模型,利用两个理论模型与有限元模型的结果进行对比,并采用正交实验法全面分析了柔性铰链的寄生刚度和旋转刚度的精度对其刚度性能的影响.研究结果表明:该柔性机构的寄生刚度影响较小,误差贡献率小于3%;旋转刚度的精度影响较大,通过选择精确的旋转刚度公式可以得到精确的理论刚度模型,同有限元结果相比其误差在t/r<0.65范围内小于8%;与设计实验及其对应的有限元结果的误差分别为4%和3.96%,验证了刚度模型的正确性.基于刚度模型推导了该柔性机构的应力模型,运用正交实验法与有限元结果进行对比,误差小于4%,验证了应力模型的正确性.
Abstract:
Accurate stiffness and stress models of a class of bridge-type direct coupling compliant mechanism have been studied. First, the analytical stiffness equations for this compliant mechanism were formulated based on pseudo-rigid-body model and Castigliano's displacement theorem. Then, the effect of parasitic stiffness equations and the accuracy of rotational stiffness equations of flexure hinges on the overall analytical stiffness equations were comprehensively studied by the orthographic experimental method based on the comparison between the two analytical stiffness equations and the finite element analysis (FEA) results with the design parameters arranged. The results show that parasitic stiffness equations have less than 3% influence with the error, while accuracy of rotation stiffness equations has great effect and thus the accurate stiffness model can be obtained with the choice of the most accurate rotation stiffness equations. Compared with FEA results, the error of the derived stiffness model is less than 8% for t/r<0.65. Finally, an experimental configuration was used to verify the overall stiffness equations and the errors compared with experimental and FEA results are 4% and 3.96% respectively. In addition, the analytical stress equations for this compliant mechanism were formulated based on the overall stiffness equations and the error compared with FEA results is less than 4%,which verifies their accuracy.

参考文献/References

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备注/Memo

备注/Memo:
国家教育部归国留学人员基金
更新日期/Last Update: 2009-12-20