Fundamental principles of Lagrangian dynamics: Mechanical systems with non-ideal, holonomic, and nonholonomic constraints

DOI10.1006/jmaa.2000.7050zbMath0973.70015OpenAlexW2125920722MaRDI QIDQ1589963

Firdaus E. Udwadia

Publication date: 27 November 2001

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jmaa.2000.7050

zbMATH Keywords

minimization problemLagrangian dynamicsexplicit equations of motionideal constraintsD'Alembert's principleGauss's principlefoundations of analytical dynamicsfundamental minimum principlenon-ideal constraintssliding Coulomb friction

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Other variational principles in mechanics (70H30) Holonomic systems related to the dynamics of a system of particles (70F20) Variational principles of physics (49S05) Lagrange's equations (70H03) Axiomatics, foundations (70A05)

Related Items (5)

Cooperative-theoretic optimal adaptive robust control for fuzzy multiple manipulator systems ⋮ Orthogonal projections and the dynamics of constrained mechanical systems ⋮ An application of the Udwadia-Kalaba dynamic formulation to flexible multibody systems ⋮ Explicit Poincaré equations of motion for general constrained systems. Part I. Analytical results ⋮ Response determination of linear dynamical systems with singular matrices: a polynomial matrix theory approach

Cites Work

• A new perspective on constrained motion
• Response to Bucy’s comment on a paper by Udwadia and Kalaba
• Foundations of Quantum Mechanics
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