Comparison of the Mason and KLM equivalent circuits for piezoelectric resonators in the thickness mode

Abstract

-The parameters of the KLM and Mason's equivalent circuits in the thickness mode are presented to include dielectric, elastic and piezoelectric loss. The models are compared under various boundary conditions with and without acoustic layers to the analytical solutions of the wave equation. We show that in all cases equivalence is found between the analytical solution and the KLM and Mason's equivalent circuit models. It is noted that in order to maintain consistency with the linear equations of piezoelectricity and the wave equation care is required when applying complex coefficients to the models. The effect of the piezoelectric loss component on the power dissipated in the transducer is presented for loaded and unloaded transducers to determine the significance of the piezoelectric loss to transducer designers. The effect of the piezoelectric loss on the insertion loss was found to be small.

Acoustofluidics 9: Modelling and applications of planar resonant devices for acoustic particle manipulation

“…The KLM model 26 was developed as an easier-to-use alternative to the Mason model; its layout is similar, but incorporates a transmission line in place of Z T , and reduces the number of components. It has been shown to produce similar results to the Mason model under typical boundary conditions if care is taken to apply complex loss values consistently 24 . However comparing the response of the two models to an electrical impulse, a time-delay is seen in the output of the KLM model as the impulse propagates through the transmission 35 line.…”

“…The Mason model configuration is presented in Fig. 2; the values of the parameters can be found 30 elsewhere 24 . The Mason model is derived from the constitutive piezoelectric relations described in part 4 of this tutorial series 25 .…”

Guidelines for the design of efficient sono-microreactors

“…KLM and Mason's models are used to design the transducer by simplifying the wave equation solution in the model. This is possible thanks to an equivalent electrical network representation used for calculating electromechanical parameters [17,23,24]. Thus, a Langevin-type transducer can be modeled under the following assumptions:…”

Horn-Type Piezoelectric Ultrasonic Transducer: Modelling and Applications

“…At off-resonance conditions, the buzzer transducer can also be used as an actuator for piezoelectric diaphragm pump (Accoto et al, 2000;Woias, 2005). The ultrasonic transducers usually work at a frequency range from ~20 kHz to ~200 kHz (Abramov, 1998;Atar et al, 1999;Chen & Wu, 2002;Chu et al, 2002;Hongoh et al, 2004;Lin, 1995Lin, , 2004aMattiat, 1971;Medis & Henderson, 2005;Prokic, 2004;Radmanovic & Mancic, 2004;Sherrit et al, 1999aSherrit et al, , 1999bTsuda et al, 1983;Wiksell et al, 2000). Transducers in this range could also be designed in the bending mode.…”

“…Langevin (sandwich, converter, Tonpiltz, etc. ) transducer represents a typical structure (Abramov, 1998;Atar et al, 1999;Chen & Wu, 2002;Chu et al, 2002;Hongoh et al, 2004;Lin, 1995Lin, , 2004aLin, , 2004bMattiat, 1971;Medis & Henderson, 2005;Prokic, 2004;Radmanovic & Mancic, 2004;Sherrit et al, 1999aSherrit et al, , 1999bTsuda et al, 1983;Wiksell et al, 2000). It is sometimes connected with a horn (wave guide, booster, sonotrode, etc.)…”