Hamel’s Formalism for Infinite-Dimensional Mechanical Systems

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• 作者：Donghua Shi ; Yakov Berchenko-Kogan ; Dmitry V. Zenkov…
• 关键词：Hamel equations ; Nonholonomic constraints ; Momentum ; Symmetry
• 刊名：Journal of Nonlinear Science
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：27
• 期：1
• 页码：241-283
• 全文大小：
• 刊物类别：Mathematics and Statistics
• 刊物主题：Analysis; Theoretical, Mathematical and Computational Physics; Classical Mechanics; Appl.Mathematics/Computational Methods of Engineering; Economic Theory/Quantitative Economics/Mathematical Methods;
• 出版者：Springer US
• ISSN：1432-1467
• 卷排序：27

文摘

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.