Noether's theorem for nonholonomic systems of non-Chetaev's type with unilateral constraints in event space

DOI10.1007/BF02459035zbMath0974.70013MaRDI QIDQ1580400

Jinghui Liang, Yi Zhang, Yuancheng Li

Publication date: 2 December 2001

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

nonholonomic systemslocal coordinatesinfinitesimal symmetryconserved quantityEuler-Lagrange's type equationsinverse Noether's theoremunilateral nonholonomic constraints of non-Chetaev type

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (2)

Derivatives of repeated eigenvalues and corresponding eigenvectors of damped systems ⋮ Noether's theorem and its inverse of Birkhoffian system in event space based on Herglotz variational problem

Cites Work

• Unnamed Item
• A study of conservation laws of dynamical systems by means of the differential variational principles of Jourdain and Gauss
• Conservation laws of dynamical systems via d'Alembert's principle
• Conservation laws of nonholonomic nonconservative dynamical systems

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