Time domain simulation and measurements for piezoelectric bimorphs

The method of normal-mode expansion has been extended for time domain simulation of a piezoelectric bimorph, for arbitrary voltage excitations. An experimental method for time domain measurements is proposed and the logarithmic decrement technique is used for the estimation of the damping factor near the first resonance. The experimental setup consists of an auto-balancing bridge circuit and requires only an oscilloscope for measuring the input and output voltages. Resonant frequencies of the bimorph were also obtained by taking the FFT of the measured output voltage. For comparison purposes the method of normal-mode expansion in frequency domain was applied to obtain the driving point impedance of the bimorph near the first resonance. The value of the damping factor, computed through impedance measurements, was in agreement with the value computed using the logarithmic decrement technique.

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