General equations of rational dynamics
Formalisms of rational dynamics of mechanical systems: Newton to Kane
Archive REF: BM5226 V1
General equations of rational dynamics
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 | Lire en français

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1. General equations of rational dynamics

This paragraph brings together the general equations of vector dynamics, in their initial writing and in the search for the first integrals of motion in the sense of general dynamics.

1.1 General theorems of rational dynamics

Starting from the elementary dynamics of the material point, the fundamental theorems are developed for any translational and rotational system. The first way to apply these theorems is to calculate the real mechanical power of applied forces and inertia.

Two main elements are developed:

  • the decomposition considering, on the one hand, the motion of the center of mass (affected by the total mass of the system) and, on the other hand, the motion relative to the center...

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