单边抛物线形柔性铰链的计算与性能分析

Design Calculation and Analysis of Half Parabolic Flexure Hinge

提出了一种单边抛物线形柔性铰链,以力学卡氏第二定理和微积分为理论基础,推导了单边抛物线形柔性铰链柔度和转动精度的闭环解析公式,利用有限元的方法对柔性铰链的解析公式进行校验,结果表明:有限元方法与闭环解析式的结果基本一致。并对单边抛物线形柔性铰链的性能进行分析,得出了结构参数对其柔度性能的影响关系,并通过对双边抛物线形柔性铰链比较,分析了单边抛物线形柔性铰链的转动能力、转动精度和对轴向载荷的影响等性能,为柔性铰链在结构紧凑、大位移场合的工程应用提供了有价值的参考。

A half parabolic flexure hinge is introduced. And based on the Castigliano＇s second theorem and calculus, Closed-form equations are formulated for compliances of half parabolic flexure hinge. Precision of rotation is also evaluated in terms of compliances. The finite element analysis results confirmed the model predictions. A unitary compliance-based analysis is performed by means of two-dimensional geometric parameters. Compared to symmetric parabolic flexure hinge, the performance of flexure hinge can be evaluated in terms of flexibility, precision of center of rotation and sensitivity to axial effects. So the half parabolic flexure hinge is suitable for engineering applications where large displacement and compact mechanism are needed.