Geometrical Derivation of Lagrange’s Equations for a System of Rigid Bodies

DOI10.1177/1081286505044137zbMath1157.70011OpenAlexW2100457215MaRDI QIDQ5457286

James Casey, Oliver M. O'Reilly

Publication date: 14 April 2008

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

Full work available at URL: https://doi.org/10.1177/1081286505044137

zbMATH Keywords

Riemannian manifoldconfiguration manifoldHertzian space

Mathematics Subject Classification ID

Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Holonomic systems related to the dynamics of a system of particles (70F20) Dynamics of multibody systems (70E55) Lagrange's equations (70H03)

Related Items (3)

Application of Newton's law of motion to constrained mechanical systems possessing configuration manifolds with time-dependent geometric properties ⋮ On the representation of rigid body rotational dynamics in Hertzian configuration space ⋮ Perspectives on Euler angle singularities, gimbal lock, and the orthogonality of applied forces and applied moments

Cites Work

• On potential energies and constraints in the dynamics of rigid bodies and particles
• On a decomposition of generalized constraint forces
• Geometrical derivation of Lagrange’s equations for a system of particles
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