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

(95)

The vibration modes corresponding to the first, second, and third electromechanical resonances are marked EM in Table 9.2.

The explanation of electromechanical resonance

The electromechanical resonance can be explained by analyzing the electromechanical response given by Eq. (26). This equation states that

$\hat{u}(x)=\frac{d_{31}{\hat{E}}_3}{\gamma }\frac{\sin \gamma x}{\cos \frac{1}{2}\gamma l_a}$ (96)

(96)

where the relation $a=l_a/2$ was invoked. The poles of Eq. (96) correspond to frequency values where ...