Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

Donghua Shi; Yakov Berchenko-Kogan; Dmitry V. Zenkov; Anthony M. Bloch

doi:10.1007/s00332-016-9332-7

Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

Donghua Shi^*, Yakov Berchenko-Kogan, Dmitry V. Zenkov, Anthony M. Bloch

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

24 Citations (Scopus)

Abstract

In this paper, we introduce Hamel’s formalism for infinite-dimensional mechanical systems and in particular consider its applications to the dynamics of nonholonomically constrained systems. This development is a nontrivial extension of its finite-dimensional counterpart. The analysis is applied to several continuum mechanical systems of interest, including coupled systems and systems with infinitely many constraints.

Original language	English
Pages (from-to)	241-283
Number of pages	43
Journal	Journal of Nonlinear Science
Volume	27
Issue number	1
DOIs	https://doi.org/10.1007/s00332-016-9332-7
Publication status	Published - 1 Feb 2017

Keywords

Hamel equations
Momentum
Nonholonomic constraints
Symmetry

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10.1007/s00332-016-9332-7

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abstract = "In this paper, we introduce Hamel{\textquoteright}s formalism for infinite-dimensional mechanical systems and in particular consider its applications to the dynamics of nonholonomically constrained systems. This development is a nontrivial extension of its finite-dimensional counterpart. The analysis is applied to several continuum mechanical systems of interest, including coupled systems and systems with infinitely many constraints.",

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KW - Nonholonomic constraints

KW - Symmetry

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Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

Abstract

Keywords

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