Structural Health Monitoring with Piezoelectric Wafer Active Sensors, 2nd Edition

(195)

Following ref. [12], we write Eq. (195) in terms of an amplitude $A$ and a modeshape parameter $C$, i.e.,

$\hat{w}(r)=A[J_0(\gamma r)+C{I}_0(\gamma r)]$ (196)

(196)

The general solution for axisymmetric flexural vibration of circular plates is obtained by substituting Eq. (196) into Eq. (183), i.e.,

$w(r,t)=A[J_0(\gamma r)+C{I}_0(\gamma r)]e^{i\omega t}$ (197)

(197)

4.6.3.3 Natural Frequencies ...