Design, modeling, and analysis of hybrid flexure hinges

Lijian Li, Dan Zhang, Sheng Guo, Haibo Qu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

47 Citations (Scopus)


This paper presents a generalized analytical compliance model that can quickly formulate the equations of compliance and precision for hybrid flexure hinges. Inspired by the combined design of multiple flexure segments connected serially, a large number of hybrid flexure hinges are designed, which can be equivalent to serial flexible chains comprised of multiple pre-defined flexure segments. Compliance matrix for each flexure segment can be obtained only through a few designated base segments of known compliances. By drawing from the compliance modeling process of serial flexible chains, the capacity and precision of rotation of hybrid flexure hinges are easily evaluated in terms of geometric parameters and compliances of base segments, as well as numerous and tedious integral operations are effectively avoided. Additionally, a representative set of flexure configurations with conic-section flexure segments and the finite element simulations are introduced to validate the analytical model. Finally, several numerical simulations in regard to the motion accuracy of flexure hinges are carried out to study the effects of geometric parameters.

Original languageEnglish
Pages (from-to)300-316
Number of pages17
JournalMechanism and Machine Theory
Publication statusPublished - Jan 2019
Externally publishedYes


  • Compliance modeling
  • Conic section
  • Flexure segment
  • Hybrid flexure hinge
  • Serial flexible chain

ASJC Scopus subject areas

  • Bioengineering
  • Mechanics of Materials
  • Mechanical Engineering
  • Computer Science Applications


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