On Hamel’s equations

This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators. Of a particular interest are applications to the dynamics and numerical integration of systems with velocity constraints.

Bibliographic Details
Main Author: Zenkov Dmitry V.
Format: Article
Language:English
Published: Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade 2016-01-01
Series:Theoretical and Applied Mechanics
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/1450-5584/2016/1450-55841600011Z.pdf
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spelling doaj-c7e7e15c337949e2bda3ee6392df5b542020-11-24T22:08:36ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842406-09252016-01-0143219122010.2298/TAM160612011Z1450-55841600011ZOn Hamel’s equationsZenkov Dmitry V.0North Carolina State University, Department of Mathematics, Raleigh, USAThis paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators. Of a particular interest are applications to the dynamics and numerical integration of systems with velocity constraints.http://www.doiserbia.nb.rs/img/doi/1450-5584/2016/1450-55841600011Z.pdfinfinite-dimensional mechanicsnonholonomic constraintsvariational integrators
collection DOAJ
language English
format Article
sources DOAJ
author Zenkov Dmitry V.
spellingShingle Zenkov Dmitry V.
On Hamel’s equations
Theoretical and Applied Mechanics
infinite-dimensional mechanics
nonholonomic constraints
variational integrators
author_facet Zenkov Dmitry V.
author_sort Zenkov Dmitry V.
title On Hamel’s equations
title_short On Hamel’s equations
title_full On Hamel’s equations
title_fullStr On Hamel’s equations
title_full_unstemmed On Hamel’s equations
title_sort on hamel’s equations
publisher Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
series Theoretical and Applied Mechanics
issn 1450-5584
2406-0925
publishDate 2016-01-01
description This paper reviews recent results on the extension of Hame’s formalism to infinite-dimensional mechanical systems and to variational integrators. Of a particular interest are applications to the dynamics and numerical integration of systems with velocity constraints.
topic infinite-dimensional mechanics
nonholonomic constraints
variational integrators
url http://www.doiserbia.nb.rs/img/doi/1450-5584/2016/1450-55841600011Z.pdf
work_keys_str_mv AT zenkovdmitryv onhamelsequations
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