Variational form. Hamilton's principle
General mechanical engineering - General dynamics. Analytical form

Article REF: A1666 V1

Variational form. Hamilton's principle
General mechanical engineering - General dynamics. Analytical form

Author : Jean-Pierre BROSSARD

Publication date: August 10, 1995 | Lire en français

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3. Variational form. Hamilton's principle

Let's assume that the configuration can be expressed in terms of n parameters. In configuration space, motion can be represented by a point P, which describes a trajectory. Assume that the system has a Lagrangian L = T – V. The Lagrangian equations can be written as : $\frac{d}{d t} \frac{\partial L}{\partial {q^{'}}_{i}} - \frac{\partial L}{\partial q_{i}} = 0 i = 1 \dots n$

Let the integral

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