Articles | Volume 4, issue 2
Mech. Sci., 4, 345–356, 2013
https://doi.org/10.5194/ms-4-345-2013

Special issue: Advances in compliant mechanisms: theories, tools and...

Mech. Sci., 4, 345–356, 2013
https://doi.org/10.5194/ms-4-345-2013

Research article 15 Oct 2013

Research article | 15 Oct 2013

New empirical stiffness equations for corner-filleted flexure hinges

Q. Meng1, Y. Li1,2, and J. Xu1 Q. Meng et al.
  • 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.