A damped free vibration is expressed by the general equation \(x=X e^{-\zeta \omega_{n} t} \sin \left(\sqrt{1-\zeta^{2}} \omega_{n} t+\phi\right)\) which is shown in Fig. 30 :

The envelope \(A\) has the equation:

(a) \(X e^{-1}\)

(b) \(X \sin \left(\sqrt{1-\zeta^{2}}\right) \omega_{n} t\)

(c) \(e^{-\zeta \omega_{n} t}\)

(d) \(X e^{-\zeta \omega_{n} t}\).

Transcribed Image Text:

X X sino A Fig.30 .cont