Damped vibration system
Alternating vibrations and stresses in turbomachinery

Article REF: BM4175 V1

Damped vibration system
Alternating vibrations and stresses in turbomachinery

Authors : Martial NAUDIN, Jean-Marc PUGNET

Publication date: July 10, 1999 | Lire en français

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1. Damped vibration system

The determination of dynamic stresses uses the results of the study of a simple (one degree-of-freedom), damped vibratory system subjected to forced excitation.

1.1 Free motion study

Applying the fundamental equation of dynamics to the vibratory system shown in figure 1 gives :

m \frac{d^{2} x}{d t^{2}} + b \frac{d x}{d t} + k x = 0

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References

(1) - BRAND (A.), FLAVENOT (J.F.), GRÉGOIRE (R.), TOURNIER (C.) - Publications CETIM − Données technologiques sur la fatigue. 3e édition 1992.
(2) - FRENE (J.), NICOLAS (D.), DEGUEURCE (B.), BERTHE (D.), GODET (M.) - Lubrification hydrodynamique. Paliers et butées. -...

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