Modelling of passive vibration damping using piezoelectric transducers - The mathematical model

A proposal of mathematical modelling of vibrating piezoelectric transducers using the electrical analogy is presented in this work. The developed mathematical model is used in analysis of vibrating piezoelectric plates with adjoined external passive electric elements and for designating of their characteristics. A substitute electric system of the piezoelectric transducer that is equal to a three-port system was introduced. A piezoelectric transformer created by connection of two plates was analysed. Substitute systems of both plates were introduced. All mechanical parameters of the analysed system were replaced by equivalent electrical parameters in obtained Mason's model.