This paper presents a new class of flexure hinges, namely, conic-V-shaped flexure hinges (CFHs), which can be used as a generalized model for flexure hinges with profiles such as parabolic-V-shape, elliptical-V-shape, and hyperbolic-V-shape. Compliance and precision equations for the CFHs were derived as a set of nonlinear equations using Castigliano’s second theorem. The parameters of the nonlinear equations inputted to the compliance and precision matrices were based on the generalized equations used for conic curves in polar coordinates. Furthermore, the compliance equations were verified by means of finite element analysis and experiments. The errors in the finite element and experimental results were within 10% and 8% compared to the analytical results, respectively. Finally, the effects of dimensional parameters on the analytical model could be effectively analyzed by numerical simulations and comparisons.

本文提出了一类新型柔性铰链，即圆锥V形柔性铰链（CFH），它可以作为抛物线V形、椭圆V形、和双曲V形。CFH 的柔量和精度方程是使用 Castigliano 的第二定理导出的一组非线性方程。输入到柔量和精度矩阵的非线性方程的参数基于用于极坐标二次曲线的广义方程。此外，通过有限元分析和实验验证了柔度方程。有限元和实验结果与解析结果的误差分别在10%和8%以内。最后，通过数值模拟和比较，可以有效分析尺寸参数对解析模型的影响。