Tseytlin Yakov
International Society of Automation (ISA), 20 Randall St. Apt. 5G, Providence, Rhode Island 02904, USA.
Rev Sci Instrum. 2012 Feb;83(2):026102. doi: 10.1063/1.3681441.
This note shows a technique for the calculation of rotational compliance (stiffness) and develops a generalized mathematical model for the virtual center of rotation position in concave, segmented, and V-shaped notch hinges using Chebyshev's polynomials. The calculational results are in a good agreement with experimental data and finite element model verified output with estimated differences of less than 10%. This agreement shows that our tractable model is a general one for rotational compliance and the evaluation of a virtual center of rotation position in any type of concave flexure notch hinges.
本笔记展示了一种计算旋转柔顺性（刚度）的技术，并利用切比雪夫多项式为凹形、分段形和 V 形缺口铰链中的虚拟旋转中心位置建立了一个通用的数学模型。计算结果与实验数据以及经有限元模型验证的输出结果高度吻合，估计差异小于 10%。这种一致性表明，我们的易处理模型对于旋转柔顺性以及任何类型凹形挠曲缺口铰链中虚拟旋转中心位置的评估而言是一个通用模型。
