Introduction to the Theory of Stability pp 75-101 | Cite as
Stability of Equilibrium States and Stationary Motions of Conservative Systems
Chapter
Abstract
We consider a mechanical system with holonomic and scleronomic constraints. The state of the system can be described by s generalized independent coordinates q1,⋯, q s . It is well known that at a state of equilibrium all generalized forces Q k of such a system are equal to zero:.
$$ {Q_1} = 0, \ldots, {Q_s} = 0 $$
(3.1)
Keywords
Potential Energy Equilibrium Position Stationary Motion Gyroscopic Force Positive Definite Quadratic Form
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© Springer-Verlag New York, Inc. 1997