The d'Alembert-Lagrange equation exploited on a Riemannian manifold

DOI10.1007/s11044-010-9231-xzbMath1380.70037OpenAlexW2010221581WikidataQ115381776 ScholiaQ115381776MaRDI QIDQ633307

Ronald L. Huston, Xiaobo Liu, Chengqun Liu

Publication date: 31 March 2011

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

Full work available at URL: https://doi.org/10.1007/s11044-010-9231-x

zbMATH Keywords

Riemannian manifoldnonholonomic systemsd'Alembert-Lagrange equation

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) Nonholonomic dynamical systems (37J60)

Related Items (1)

Formulation of the Governing Equations of Motion of Dynamic Systems on a Principal Bundle

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Another form of equations of motion for constrained multibody systems
• A Lie group formulation of Kane's equations for multibody systems
• On the equivalence of Kane's equations and Gibbs' equations for multibody dynamics formulations
• Constraint forces and undetermined multipliers in constrained multibody systems
• Application of tests of chi-square type
• Kane’s Equations With Undetermined Multipliers—Application to Constrained Multibody Systems
• Motivating Kane's method for obtaining equations of motion for dynamic systems
• Dynamics of Nonholonomic Systems
• Formulation of Equations of Motion for Complex Spacecraft
• Multibody structural dynamics including translation between the bodies
• A geometrical interpretation of Kane’s Equations
• An Energy Theorem for Developing Testing Functions for Numerical Simulations of Dynamic Systems
• Stability of a spinning body containing elastic parts via Liapunov'sdirect method
• Another Look at Nonholonomic Systems
• Testing the accuracy of numerical simulations of multibody systems

This page was built for publication: The d'Alembert-Lagrange equation exploited on a Riemannian manifold