Notch flexure hinges: An effective theory
Notch flexure hinges: An effective theory
复制标题
DOI：
10.1063/1.1499761
复制
发表时间：
2002-08
影响因子：
1.6
通讯作者：
Y. Tseytlin
中科院分区：
文献类型：
--
作者：
Y. Tseytlin
This article presents effective tractable equations for rotational compliance (stiffness) of a simple monolithic flexure hinge with circular (radius R and crosspiece thickness t), elliptical [at semiaxis ax, ay, elliptical ratio e (=ax/ay)] and other cross sections. These equations and the method by inverse conformal mapping of circular approximating contour used to derive them are different from the known and widely used theoretical equations originally derived in 1965 by Paros and Weisbord for circular notch hinges. Later it was found that the circular hinge represents the worst case error between known theoretical and finite element models. The conformal mapping equations data presented in this article are likely to be much closer (within less than 10%) to the finite element analysis and experimental data than other theoretical equations. In particular this is the case for circular notch hinges at relative thickness β(=t/2R) in the range 0.01 to 0.3 and for elliptical hinges at the elliptical ratio e=1...
