Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains

Sebastian Durango, Jorge Correa, Mauricio Aristizabal, Oscar Ruiz, John Dairo Restrepo-Giraldo, Sofiane Achiche

    Research output: Chapter in Book/Report/Conference proceedingArticle in proceedingsResearchpeer-review


    This article develops a modular procedure to perform force-displacement modeling of planar flexurebased Compliant Mechanisms (CMs). The procedure is mostly suitable for planar lumped CMs. To achieve the position analysis of CMs requires: (i) to implement the kinematic analysis as in the case of ordinary mechanisms, (ii) to solve the equilibrium problem by means of a static analysis and (iii) to model the flexures behavior through a deflection analysis. The novel contribution of this article relies on the fact that a division strategy of the CM into Assur sub-chains is implemented, so that any CM subjected to such disaggregation can be accurately modeled. For this purpose a mathematical model for the leaf-spring flexure type is presented and used through this paper. However, any other flexure model can be used instead. To support the technique, a three Degree-Of-Freedom (3-DOF) flexurebased parallel mechanism is used as case study. Results are compared with a Finite Element Analysis (FEA).
    Original languageEnglish
    Title of host publicationThe 13. World Congress in Mechanism and Machine Science : IFToMM 2011
    Publication date2011
    Publication statusPublished - 2011
    Event13th World Congress in Mechanism and Machine Science - Guanajuato, Mexico
    Duration: 5 Sept 20118 Sept 2011
    Conference number: 13th


    Conference13th World Congress in Mechanism and Machine Science


    • Compliant mechanism
    • Assur group
    • Pseudo-Rigid Body Model
    • Force-displacement model
    • Large deflection analysis,


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