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| Design and calculation of compliance of arc flexure spherical hinge |
| YANG Chun-Hui, LIU Ping-An |
| School of Railway Tracks and Transportation， East China Jiaotong University， Nanchang 330013， China |
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Abstract The compliance performance of arc flexure spherical hinges was studied which can replace traditional biaxial flexure hinges and be used in compliant mechanisms with multi-DOF. Based on Castigliano's second theorem，compliance equations of the arc flexure spherical hinge were formulated. Analytic formulas of the arc flexure spherical hinge were verified by ANSYS12.0 analysis. The research results showed that the finite element analysis and theoretical calculation were basically the same. After analyzing the performance of arc flexure spherical hinge by changing structural parameters， the influence order to its compliance was obtained. The greatest impact parameter was the minimum diameter t， followed by the arc central angle θm， the arc radius R and the Young’s modulus E. This method provides a valuable reference for the design and application of the flexure spherical hinge．
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Received: 11 March 2014
Published: 28 August 2014
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圆弧型柔性球铰柔度设计计算
通过研究圆弧型柔性球铰的柔度性能，使该柔性球铰可代替传统的双轴柔性铰链应用于空间多自由度柔顺机构.根据《材料力学》中的卡氏第二定理，圆弧型柔性球铰柔度的解析公式被推导出，然后利用ANSYS12.0软件对其进行有限元分析， 结果表明有限元分析与解析式的计算结果基本一致.通过改变圆弧型柔性球铰的各结构参数来分析其性能，得出各结构参数对其柔度的影响大小依次为：最小截面直径 t、圆弧的圆心角θm、圆弧半径R、杨氏模量E. 此设计计算和特性分析为柔性球铰在柔顺机构的应用提供了依据.
关键词：
圆弧型柔性球铰,
卡氏定理,
柔度,
有限元
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