Electromechanical Dynamics Model of Ultrasonic Transducer in Ultrasonic Machining Based on Equivalent Circuit Approach

Abstract

Ultrasonic transducer is a piezoelectric actuator that converts AC electrical energy into ultrasonic mechanical vibration to accelerate the material removal rate of workpiece in rotary ultrasonic machining (RUM). In this study, an impedance model of the ultrasonic transducer is established by the electromechanical equivalent approach. The impedance model not only facilitates the structure design of the ultrasonic transducer, but also predicts the effects of different mechanical structural dimensions on the impedance characteristics of the ultrasonic transducer. Moreover, the effects of extension length of the machining tool and the tightening torque of the clamping nut on the impedance characteristics of the ultrasonic transducer are investigated. Finally, through experimental analysis, the impedance transfer function with external force is established to analyze the dynamic characteristics of machining process.

Characterization and Modeling of a Planar Ultrasonic Piezoelectric Transducer for Periodontal Scalers

“…Contact with tissue also increased the magnitude of the input impedance at resonance [21]. These results were also confirmed by other studies that investigated the influence of various plastic materials as well as solid and liquid loads on Langevin transducers for ultrasonic cleaning and machining [22][23][24][25].…”

“…Several studies [21][22][23][24][25] have shown that the electro-mechanical characteristics of ultrasonic transducers are strongly influenced by the driving voltage, the load material, and the magnitude of force applied to the transducer. The sensitivity to these operating conditions depends on the construction of the transducer, as well.…”

Modeling and Design of a Rear-Mounted Underwater Projector Using Equivalent Circuits

“…The input impedance and the TVR were calculated over the same frequency range of FEA, i.e., 0.1 f L –2 f L . From Figure 3 b, the input admittance ( Y in ) can be expressed as shown in Equation (1), and its reciprocal was used to calculate the input electrical impedance ( Z in ) [ 19 , 20 ]. To calculate the TVR spectrum, the current through a radiation load, i h , was used as shown in Equation (2), where the first term is the acoustic power in dB and the second term represents the directivity index ( DI ) of a circular piston source [ 21 ].…”

Design of a novel 2D ultrasonic transducer for 2D high-frequency vibration-assisted micro-machining

“…where 𝑑 33 is piezoelectric charge coefficient, 𝑠 33 𝐸 is the elastic compliance, 𝑆 is the crosssectional area of the piezoceramic ring, 𝑡 is the thickness of the piezoceramic ring, and 𝑛 is the number of piezoceramic rings used in the transducer. Piezoelectric coupling factor N can be expressed by [28] :…”