Discrete constrained lagrangian systems and geometric constraint stabilization

Hiroaki Yoshimura, Azumi Yoshida

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

We develop discrete Lagrangian systems with holonomic constraints by employing the discrete Lagrange-d'Alembert principle, which was originally proposed by [5, 6]. Especially, we focus on the class of discrete holonomic Lagrangian systems in the context of the index 2 model, i.e., discrete Lagrange-d'Alembert equations with velocity-level constraints, while the lower index formulation may induce constraint violations called drift-off phenomena. So we incorporate geometric constraint stabilization proposed by [7, 8] into the discrete holonomic Lagrangian systems in order to avoid the constraint violations. We demonstrate numerical validity in making use of discrete Lagrange-d'Alembert equations for the index 2 model of holonomic mechanical systems with an illustrative example of linkage mechanisms.

Original languageEnglish
Title of host publicationAIP Conference Proceedings
Pages1292-1295
Number of pages4
Volume1281
DOIs
Publication statusPublished - 2010
Externally publishedYes
EventInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010 - Rhodes, Greece
Duration: 2010 Sep 192010 Sep 25

Other

OtherInternational Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010
CountryGreece
CityRhodes
Period10/9/1910/9/25

Fingerprint

stabilization
linkages
formulations

Keywords

  • Discrete Constrained Lagrangian Systems
  • Geometric Constraint Stabilization
  • Holonomic Constraints
  • Variational Integrator

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Yoshimura, H., & Yoshida, A. (2010). Discrete constrained lagrangian systems and geometric constraint stabilization. In AIP Conference Proceedings (Vol. 1281, pp. 1292-1295) https://doi.org/10.1063/1.3497945

Discrete constrained lagrangian systems and geometric constraint stabilization. / Yoshimura, Hiroaki; Yoshida, Azumi.

AIP Conference Proceedings. Vol. 1281 2010. p. 1292-1295.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Yoshimura, H & Yoshida, A 2010, Discrete constrained lagrangian systems and geometric constraint stabilization. in AIP Conference Proceedings. vol. 1281, pp. 1292-1295, International Conference on Numerical Analysis and Applied Mathematics 2010, ICNAAM-2010, Rhodes, Greece, 10/9/19. https://doi.org/10.1063/1.3497945
Yoshimura, Hiroaki ; Yoshida, Azumi. / Discrete constrained lagrangian systems and geometric constraint stabilization. AIP Conference Proceedings. Vol. 1281 2010. pp. 1292-1295
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