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A Lie group formulation of Kane's equations for multibody systems

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Publication:941678
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DOI10.1007/s11044-008-9104-8zbMath1152.70006OpenAlexW2014330122WikidataQ115381778 ScholiaQ115381778MaRDI QIDQ941678

Xiaobo Liu

Publication date: 2 September 2008

Published in: Multibody System Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11044-008-9104-8


zbMATH Keywords

kinematicsLie algebramatrix operationsEuclidean group


Mathematics Subject Classification ID

Dynamics of multibody systems (70E55) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65)


Related Items (3)

From Neweul to Neweul-M\(^{2}\): symbolical equations of motion for multibody system analysis and synthesis ⋮ The d'Alembert-Lagrange equation exploited on a Riemannian manifold ⋮ Formulation of the Governing Equations of Motion of Dynamic Systems on a Principal Bundle



Cites Work

  • A Lie-group formulation of kinematics and dynamics of constrained MBS and its application to analytical mechanics
  • Nonholonomic multibody dynamics
  • Explicit Wei-Norman formulae for matrix Lie groups via Putzer's method
  • Relative kinematics exploited in Kane's approach to describe multibody systems in relative motion
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