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On the equivalence of Kane's equations and Gibbs' equations for multibody dynamics formulations

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Publication:1094893
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DOI10.1016/0093-6413(87)90029-2zbMath0631.70008OpenAlexW1983472968MaRDI QIDQ1094893

Ronald L. Huston

Publication date: 1987

Published in: Mechanics Research Communications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0093-6413(87)90029-2


zbMATH Keywords

Kane's equationsGibbs' differential equationsmulti-body dynamical systemsnonholonomic dynamical systems


Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Hamiltonian and Lagrangian mechanics (70H99)


Related Items (5)

On the nonlinear Appell equations and the determination of generalized reaction forces ⋮ The d'Alembert-Lagrange equation exploited on a Riemannian manifold ⋮ Formulation of the Governing Equations of Motion of Dynamic Systems on a Principal Bundle ⋮ Stability analysis of constrained multibody systems ⋮ An efficient method for inverse dynamics of manipulators based on the virtual work principle




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