Kong Jianyi, Huang Zhao, Xian Xiaodong, Wang Yingrui, Yu Puliang
The State Key Laboratory of Refractories and Metallurgy, Wuhan University of Science and Technology, Wuhan, China.
Hubei Key Laboratory of Mechanical Transmission and Manufacturing Engineering, Wuhan University of Science and Technology, Wuhan, China.
Sci Prog. 2020 Oct-Dec;103(4):36850420981211. doi: 10.1177/0036850420981211.
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.
本文提出了一种新型挠性铰链，即圆锥 - V形挠性铰链（CFH），它可作为具有抛物线 - V形、椭圆 - V形和双曲线 - V形等轮廓的挠性铰链的通用模型。利用卡斯蒂利亚诺第二定理，将CFH的柔度和精度方程推导为一组非线性方程。输入到柔度和精度矩阵中的非线性方程参数基于极坐标中圆锥曲线的通用方程。此外，通过有限元分析和实验对柔度方程进行了验证。有限元结果和实验结果与分析结果相比，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地分析尺寸参数对分析模型的影响。
