Is analytical dynamics a theoretical or an experimental science?

DOI10.1016/j.na.2005.02.087zbMath1153.70301OpenAlexW2007770124MaRDI QIDQ999452

Yueyue Fan, Firdaus E. Udwadia, Robert E. Kalaba

Publication date: 4 February 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2005.02.087

zbMATH Keywords

principle of virtual worknonholonomic constraintsanalytical dynamicsnonideal constraintspseudoinverse of a matrix

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) General theory for ordinary differential equations (34A99)

Cites Work

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• Dynamic programming and pseudo-inverses
• Explicit Equations of Motion for Mechanical Systems With Nonideal Constraints
• What is the General Form of the Explicit Equations of Motion for Constrained Mechanical Systems?
• A new perspective on constrained motion
• Equations of Motion for Nonholonomic, Constrained Dynamical Systems via Gauss’s Principle