Analytical Dynamics of Discrete Systems pp 211-238 | Cite as
Lagrange’s Equations
Chapter
Abstract
The fundamental equation in generalized coordinates has been found in (12.3.9) as
where the kinetic energy T and the generalized forces Q s are, in general, functions of all the q s and \({ \dot q_s}\) (s = 1, 2, …, n) and of t.
$$\sum\limits_{s = 1}^n {\left( {\frac{d}{{dt}}\frac{{\partial T}}{{\partial \dot q_s }} - \frac{{\partial T}}{{\partial q_s }} - Q_s } \right)\delta q_s = 0,}$$
(13.1.1)
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© Plenum Press, New York 1977