Time-integral theorems for nonholonomic systems

DOI10.1016/0020-7225(87)90120-0zbMath0624.70009OpenAlexW1995078696MaRDI QIDQ578952

John G. Papastavridis

Publication date: 1987

Published in: International Journal of Engineering Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7225(87)90120-0

zbMATH Keywords

generalized virial theoremenergetic time-integral theoremsknife edge/sleigh problemquasigeneralized coordinates

Mathematics Subject Classification ID

Hamilton's principle (70H25) Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of a rigid body and of multibody systems (70E99)

Related Items (7)

On the nonlinear Appell equations and the determination of generalized reaction forces ⋮ On the brachistochronic motion of the Chaplygin sleigh ⋮ The method of variation on parameters for integration of a generalized Birkhoffian system ⋮ Realization of the brachistochronic motion of Chaplygin sleigh in a vertical plane with an unilateral nonholonomic constraint ⋮ On Jourdain's principle ⋮ Genesis of the multiscale approach for materials with microstructure ⋮ On the virial theorem for nonholonomic Lagrangian systems

Cites Work

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• Analytical dynamics of discrete systems
• On the admissibility of application of precession equations of gyroscopic systems
• A variational principle involving a conditional extremum for the Hamel- Boltzmann equations of motion
• The variational and virial-like theory of oscillations and stability of non-conservative and/or non-linear mechanical systems

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