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(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

$\stackrel{ˆ}{u}\left(x\right)=\frac{{d}_{31}{\stackrel{ˆ}{E}}_{3}}{\gamma }\frac{\mathrm{sin}\gamma x}{\mathrm{cos}\frac{1}{2}\gamma {l}_{a}}$ (96)

(96)

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

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