On the geometric stabilization for discrete Hamiltonian systems with holonomic constraints

Hiroaki Yoshimura, Kenji Soya

研究成果: Conference contribution

1 被引用数 (Scopus)

抄録

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.

本文言語English
ホスト出版物のタイトルProceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
ページ517-521
ページ数5
PART A
DOI
出版ステータスPublished - 2010 6 24
イベント2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009 - San Diego, CA, United States
継続期間: 2009 8 302009 9 2

出版物シリーズ

名前Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference 2009, DETC2009
番号PART A
4

Conference

Conference2009 ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, DETC2009
CountryUnited States
CitySan Diego, CA
Period09/8/3009/9/2

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Hardware and Architecture
  • Electrical and Electronic Engineering

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