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

    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)
    Durango, Sebastian ; Correa, Jorge ; Aristizabal, Mauricio ; Ruiz, Oscar ; Restrepo-Giraldo, John Dairo ; Achiche, Sofiane. / Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains. The 13. World Congress in Mechanism and Machine Science: IFToMM 2011. 2011. pp. A24-434
    @inproceedings{240127b0643e4c63a7dcfb7257af985a,
    title = "Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains",
    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).",
    keywords = "Compliant mechanism, Assur group, Pseudo-Rigid Body Model, Force-displacement model, Large deflection analysis,",
    author = "Sebastian Durango and Jorge Correa and Mauricio Aristizabal and Oscar Ruiz and Restrepo-Giraldo, {John Dairo} and Sofiane Achiche",
    year = "2011",
    language = "English",
    pages = "A24--434",
    booktitle = "The 13. World Congress in Mechanism and Machine Science",

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    Durango, S, Correa, J, Aristizabal, M, Ruiz, O, Restrepo-Giraldo, JD & 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, 13th World Congress in Mechanism and Machine Science, Guanajuato, Mexico, 05/09/2011.

    Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains. / Durango, Sebastian; Correa, Jorge; Aristizabal, Mauricio; Ruiz, Oscar; Restrepo-Giraldo, John Dairo; Achiche, Sofiane.

    The 13. World Congress in Mechanism and Machine Science: IFToMM 2011. 2011. p. A24-434.

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

    TY - GEN

    T1 - Force Displacement Model of Compliant Mechanisms Using Assur Sub-Chains

    AU - Durango, Sebastian

    AU - Correa, Jorge

    AU - Aristizabal, Mauricio

    AU - Ruiz, Oscar

    AU - Restrepo-Giraldo, John Dairo

    AU - Achiche, Sofiane

    PY - 2011

    Y1 - 2011

    N2 - 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).

    AB - 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).

    KW - Compliant mechanism

    KW - Assur group

    KW - Pseudo-Rigid Body Model

    KW - Force-displacement model

    KW - Large deflection analysis,

    M3 - Article in proceedings

    SP - A24-434

    BT - The 13. World Congress in Mechanism and Machine Science

    ER -

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