title: Simplified equations of the compliant matrix for right elliptical flexure hinges.
abstract: The simplified compliance matrix for right elliptical hinges is presented in this paper by nonlinear curve fitting on the basis of the equations derived by Chen et al. [Rev. Sci. Instrum. 79, 095103 (2008)]. The equations of the rotation stiffness are then confirmed by comparison with results from finite element analysis and experimental measurements. Percentage errors between theoretical predictions and results from both the finite element analysis and experimental testing are within 5% for a range of geometries with the ratio s (b/t) between 1 and 14. The geometric parameter optimization for the purposes of maximizing the rotation stiffness for one universal hinge is utilized to illustrate the application of the simplified equations. The theoretical predictions are in good agreement with both the result of simulation and experiment for the universal hinge: the error between them is within 6.5%.
authors.affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, 130033 Changchun, China.
authors.forename: Jinjiang
authors.initials: J
authors.lastname: Fu
authors.affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, 130033 Changchun, China.
authors.forename: Changxiang
authors.initials: C
authors.lastname: Yan
authors.affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, 130033 Changchun, China.
authors.forename: Wei
authors.initials: W
authors.lastname: Liu
authors.affiliation: Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Science, 130033 Changchun, China.
authors.forename: Ting
authors.initials: T
authors.lastname: Yuan