Feedback Integrators for Mechanical Systems with Holonomic Constraints

The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that...

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Detalles Bibliográficos
Autores principales: Chang, Dong Eui, Perlmutter, Matthew, Vankerschaver, Joris
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2022
Materias:
Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9460403/
https://www.ncbi.nlm.nih.gov/pubmed/36080946
http://dx.doi.org/10.3390/s22176487
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author Chang, Dong Eui
Perlmutter, Matthew
Vankerschaver, Joris
author_facet Chang, Dong Eui
Perlmutter, Matthew
Vankerschaver, Joris
author_sort Chang, Dong Eui
collection PubMed
description The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that are theoretically known to be conserved. A feedback integrator is concretely implemented in conjunction with the first-order Euler scheme on the spherical pendulum system and its excellent performance is demonstrated in comparison with the RATTLE method, the Lie–Trotter splitting method, and the Strang splitting method.
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spelling pubmed-94604032022-09-10 Feedback Integrators for Mechanical Systems with Holonomic Constraints Chang, Dong Eui Perlmutter, Matthew Vankerschaver, Joris Sensors (Basel) Article The feedback integrators method is improved, via the celebrated Dirac formula, to integrate the equations of motion for mechanical systems with holonomic constraints so as to produce numerical trajectories that remain in the constraint set and preserve the values of quantities, such as energy, that are theoretically known to be conserved. A feedback integrator is concretely implemented in conjunction with the first-order Euler scheme on the spherical pendulum system and its excellent performance is demonstrated in comparison with the RATTLE method, the Lie–Trotter splitting method, and the Strang splitting method. MDPI 2022-08-29 /pmc/articles/PMC9460403/ /pubmed/36080946 http://dx.doi.org/10.3390/s22176487 Text en © 2022 by the authors. https://creativecommons.org/licenses/by/4.0/Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Chang, Dong Eui
Perlmutter, Matthew
Vankerschaver, Joris
Feedback Integrators for Mechanical Systems with Holonomic Constraints
title Feedback Integrators for Mechanical Systems with Holonomic Constraints
title_full Feedback Integrators for Mechanical Systems with Holonomic Constraints
title_fullStr Feedback Integrators for Mechanical Systems with Holonomic Constraints
title_full_unstemmed Feedback Integrators for Mechanical Systems with Holonomic Constraints
title_short Feedback Integrators for Mechanical Systems with Holonomic Constraints
title_sort feedback integrators for mechanical systems with holonomic constraints
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9460403/
https://www.ncbi.nlm.nih.gov/pubmed/36080946
http://dx.doi.org/10.3390/s22176487
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AT perlmuttermatthew feedbackintegratorsformechanicalsystemswithholonomicconstraints
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