Displacement vs. Frequency - the valleys are the mechanical antiresonance
Frequencies where sections of your piezoelectric element or transducer are vibrating out of phase, the net displacement as seen at the end is close to zero – however, there is still vibration occurring in your structure. Mechanical antiresonances cannot be discerned from impedance analysis, because they are masked by the parallel capacitance of the other LRC branches.
Notice that the mechanical antiresonance is typically more than 20% higher than the resonance frequency. Mechanical antiresonance comes about, in on sense, by interaction of different resonance modes, thus causing maximum destructive interference at the free ends of a transducer. Electrical antiresonance is a single mode phenomenon arising from the local resonant mode and the parallel capacitance.
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Husain Shekhani, PhD
Ultrasonic Advisors
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