Orthogonal projections and the dynamics of constrained mechanical systems

DOI10.1090/S0033-569X-08-01104-1zbMath1167.70007OpenAlexW1975610197MaRDI QIDQ3533899

Paula Balseiro, Jorge Eduardo Solomin

Publication date: 24 October 2008

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: http://www.ams.org/distribution/qam/2008-66-03/S0033-569X-08-01104-1/home.html

zbMATH Keywords

configurational manifoldcoordinate-free geometric approachGauss principle of minimal constraint

Mathematics Subject Classification ID

Constrained dynamics, Dirac's theory of constraints (70H45) Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30)

Related Items (1)

A historical review on nonholomic mechanics

Cites Work

• Unnamed Item
• On the foundations of analytical dynamics
• Fundamental principles of Lagrangian dynamics: Mechanical systems with non-ideal, holonomic, and nonholonomic constraints
• What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?
• Equations of motion for constrained mechanical systems and the extended d’Alembert’s principle
• A geometric approach to the extended D’Alembert principle of Udwadia-Kalaba-Hee-Chang
• On constrained motion

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