Modelling and analysis of systems with cylindrical piezoelectric transducers

Paper presents a proposal of mathematical algorithm used in order to modelling and testing of vibrating mechatronic systems. A shaft is the mechanical subsystem of the considered system. A ring piezoelectric transducer is bonded on the shaft's surface. Knowledge of the dynamic characteristics of the designed systems is essential for the proper operation and should be taken into consideration during the design phase as well as verified during operation of the system. This is why authors decided to present a method that can be very useful for analysis of such kind of systems. In order to calculate the characteristic of mecha-tronic system a mechanical subsystem was analysed in the first step. The dynamic flexibility of mechanical subsystem was calculated using the exact and approximate methods. It is impossible to use the exact method in order to analyse mechatronic systems this is why the approximate Galerkin method was used to analyse the system with piezoelectric actuator. An exactness of the approximate method was verified. In the presented work a torsional vibrating mecha-tronic system with piezoelectric transducer used as the vibration actuator is presented. The considered piezoelectric actuator is the sectional, cylindrical transducer supplied by the external harmonic electric voltage. Obtained results - characteristics of mechanical subsystem and mechatronic system are juxtaposed on charts.