On the geometric stabilization for discrete Hamiltonian systems with holonomic constraints

Hiroaki Yoshimura, Kenji Soya

    研究成果: Conference contribution

    1 引用 (Scopus)

    抜粋

    This paper develops a discrete Hamiltonian system with holonomic constraints with Geometric Constraint Stabilization. It is first shown that constrained mechanical systems with nonconservative external forces can be formulated by using canonical symplectic structures in the context of Hamiltonian systems. Second, it is shown that discrete holonomic Hamiltonian systems can be developed via the discretization based on the Backward Differentiation Formula and also that geometric constraint stabilization can be incorporated into the discrete Hamiltonian systems. It is demonstrated that the proposed method enables one to stabilize constraint violations effectively in comparison with conventional methods such as Baumgarte Stabilization and Gear-Gupta-Leimkuhler Stabilization, together with an illustrative example of linkage mechanisms.

    元の言語English
    ホスト出版物のタイトルProceedings of the ASME Design Engineering Technical Conference
    ページ517-521
    ページ数5
    4
    エディションPARTS A, B AND C
    DOI
    出版物ステータスPublished - 2009
    イベントASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 - San Diego, CA
    継続期間: 2009 8 302009 9 2

    Other

    OtherASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009
    San Diego, CA
    期間09/8/3009/9/2

      フィンガープリント

    ASJC Scopus subject areas

    • Mechanical Engineering
    • Computer Graphics and Computer-Aided Design
    • Computer Science Applications
    • Modelling and Simulation

    これを引用

    Yoshimura, H., & Soya, K. (2009). On the geometric stabilization for discrete Hamiltonian systems with holonomic constraints. : Proceedings of the ASME Design Engineering Technical Conference (PARTS A, B AND C 版, 巻 4, pp. 517-521) https://doi.org/10.1115/DETC2009-86354