Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

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...

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Veröffentlicht in:Journal of nonlinear science 2017-02, Vol.27 (1), p.241-283
Hauptverfasser: Shi, Donghua, Berchenko-Kogan, Yakov, Zenkov, Dmitry V., Bloch, Anthony M.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Classical Mechanics
Dimensional analysis
Economic Theory/Quantitative Economics/Mathematical Methods
Formalism
Mathematical and Computational Engineering
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Mechanical systems
Theoretical
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Beschreibung
Zusammenfassung: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.
ISSN:0938-8974
1432-1467
DOI:10.1007/s00332-016-9332-7