General mechanical engineering - Dynamics: machine theory : Conditions for obtaining periodicity

Conditions for obtaining periodicity
General mechanical engineering - Dynamics: machine theory

Author : Jean-Pierre BROSSARD

Publication date: July 10, 1997 | Lire en français

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6. Conditions for obtaining periodicity

The kinetic energy theorem allows us to write the fundamental equation : $d (\frac{1}{2} I {θ^{'}}^{2}) = C (θ) d θ$

By integrating, we obtain :

ω^{2} (θ) = ω_{0}^{2} \frac{I (θ_{0})}{I (θ)} + \frac{2}{I (θ)}

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Ongoing reading
Conditions for obtaining periodicity

APPEL (P.) - Traité de mécanique rationnelle I et II. - 635 p., Gauthiers Villars, Paris (1941-1953).
ARTOBOLEVSKI (I.) - Les mécanismes dans la technique moderne. - Tome 1, 700 p., Éditions Mir, Moscou (1975).
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