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Lagrange’s differential equations

  • A. I. Lurie
Chapter
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Differential equations of motion for the generalised coordinates can be obtained easily with the help of Lagrange’s central equation. The equations will be derived twice here. The first derivation will assume that the operations d and δ are not interchangeable, while the second one will assume that the operations are interchangeable. In the first case, i.e. if δd, it is necessary to use Lagrange’s central equation.

Keywords

Kinetic Energy Quadratic Form Covariant Component Holonomic Constraint Elementary Work 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

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  • A. I. Lurie

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