Article | REF: BM5226 V1

Formalisms of rational dynamics of mechanical systems: Newton to Kane

Authors: Yves GOURINAT, Jean-Pierre CHRÉTIEN

Publication date: July 10, 2009, Review date: February 1, 2015

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2. Analytical dynamics

2.1 Lagrange formalism

In this section, the displacement formulation is used to write the dynamic equations of motion directly, based on the scalar principle of virtual powers. These equations give rise to an analysis of links and prime integrals that generalizes the previous approach via general theorems.

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2.1.1 Lagrange settings

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Analytical dynamics