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Mechanical Sciences An open-access journal for theoretical and applied mechanics

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Mech. Sci., 4, 345-356, 2013
http://www.mech-sci.net/4/345/2013/
doi:10.5194/ms-4-345-2013
© Author(s) 2013. This work is distributed
under the Creative Commons Attribution 3.0 License.
Research article
15 Oct 2013
New empirical stiffness equations for corner-filleted flexure hinges
Q. Meng1, Y. Li1,2, and J. Xu1 1Department of Electromechanical Engineering, Faculty of Science and Technology, University of Macau, Av. Padre Tomas Pereira, Taipa, Macao SAR, China
2School of Mechanical Engineering, Tianjin University of Technology, Tianjin 300384, China
Abstract. This paper investigates the existing stiffness equations for corner-filleted flexure hinges. Three empirical stiffness equations for corner-filleted flexure hinges (each fillet radius, r, equals to 0.1 l; l, the length of a corner-filleted flexure hinge) are formulated based on finite element analysis results for the purpose of overcoming these investigated limitations. Three comparisons made with the existing compliance/stiffness equations and finite element analysis (FEA) results indicate that the proposed empirical stiffness equations enlarge the range of rate of thickness (t, the minimum thickness of a corner-filleted flexure hinge) to length (l), t/l (0.02 ≤ t/l ≤ 1) and ensure the accuracy for each empirical stiffness equation under large deformation. The errors are within 6% when compared to FEA results.

Citation: Meng, Q., Li, Y., and Xu, J.: New empirical stiffness equations for corner-filleted flexure hinges, Mech. Sci., 4, 345-356, doi:10.5194/ms-4-345-2013, 2013.
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