Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains

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

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    Abstract

    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
    PagesA24-434
    Publication statusPublished - 2011
    Event13th World Congress in Mechanism and Machine Science - Guanajuato, Mexico
    Duration: 5 Sep 20118 Sep 2011
    Conference number: 13th

    Conference

    Conference13th World Congress in Mechanism and Machine Science
    Number13th
    CountryMexico
    CityGuanajuato
    Period05/09/201108/09/2011

    Keywords

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

    Cite this

    Durango, S., Correa, J., Aristizabal, M., Ruiz, O., Restrepo-Giraldo, J. D., & Achiche, S. (2011). Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains. In The 13. World Congress in Mechanism and Machine Science: IFToMM 2011 (pp. A24-434)