A novel analytical model for flexure-based proportion compliant mechanisms

Qiaoling Meng, Yangmin Li, Jia Xu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

43 Citations (Scopus)


This paper proposes a novel analytical model for flexure-based proportion compliant mechanisms. The displacement and stiffness calculations of such flexure-based compliant mechanisms are formulated based on the principle of virtual work and pseudo rigid body model (PRBM). According to the theory and method, a set of closed-form equations are deduced in this paper, which incorporate the stiffness characteristics of each flexure hinge, together with the other geometric and material properties of the compliant mechanism. The rotation center point for a corner-filleted flexure hinge is investigated based on the finite element analysis (FEA) and PRBM. An empirical equation for the rotational angle is fitted in this paper in order to calculate accurately the position of the end-point of the flexure hinge. The displacement proportion equation for such mechanisms is derived according to the new approach. Combining the new proposed design equation and the existed stiffness equation, a new proportion compliant mechanism with corner-filleted flexure hinges is designed by means of the least squares optimization. The designed models are verified by finite element analysis.
Original languageEnglish
Pages (from-to)449-457
Number of pages9
JournalPrecision Engineering
Issue number3
Publication statusPublished - 1 Jan 2014
Externally publishedYes


  • Compliant mechanism
  • FEA
  • PRBM

ASJC Scopus subject areas

  • General Engineering


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