On integral principles for nonholonomic systems

DOI10.1016/0021-8928(82)90074-0zbMath0514.70016OpenAlexW2006444134MaRDI QIDQ1051456

V. V. Rumyantsev

Publication date: 1982

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(82)90074-0

zbMATH Keywords

Lagrange multipliersEuler equationsgeneralized coordinatesstationary actionapplicability of Jacobi's methodgeneralized Hamilton-Jacobi methodintegral principles

Mathematics Subject Classification ID

Hamilton's principle (70H25) Nonholonomic systems related to the dynamics of a system of particles (70F25) History of mechanics of particles and systems (70-03)

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On mechanical property of constraint ⋮ Unnamed Item ⋮ Lagrangian theoretical framework of dynamics of nonholonomic systems ⋮ Fractional dynamics of relativistic particle ⋮ A generalization of the Chetaev condition for nonlinear nonholonomic constraints: the velocity-determined virtual displacement approach

Cites Work

• On the Lagrange and Jacobi principles for nonholonomic systems
• On the Problem of a Generalization of the Hamilton-Jacobi Method for Nonholonomic Systems
• HAMILTON'S PRINCIPLE IN RELATION TO NON-HOLONOMIC MECHANICAL SYSTEMS
• WHAT IS HAMILTON'S PRINCIPLE?
• VARIATION PRINCIPLES IN DYNAMICS
• On Hamilton's principle for nonholonomic systems
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• Unnamed Item
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