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A geometrical interpretation of Kane’s Equations

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Publication:3990840
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DOI10.1098/rspa.1992.0005zbMath0752.70003OpenAlexW2107485243MaRDI QIDQ3990840

Martin L. Lesser

Publication date: 28 June 1992

Published in: Proceedings of the Royal Society of London. Series A: Mathematical and Physical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.1992.0005


zbMATH Keywords

Newton-Euler equationstangent spaceconstraint forcesconfiguration manifolds


Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Kinematics of mechanisms and robots (70B15)


Related Items (6)

The d'Alembert-Lagrange equation exploited on a Riemannian manifold ⋮ Nonminimal Kane's equations of motion for multibody dynamical systems subject to nonlinear nonholonomic constraints ⋮ On-line symbolic constraint embedding for simulation of hybrid dynamical systems ⋮ Formulation of the Governing Equations of Motion of Dynamic Systems on a Principal Bundle ⋮ Symbolic linearization of equations of motion of constrained multibody systems ⋮ A momentum form of Kane’s equations for scleronomic systems


Uses Software

  • Neweul



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