A New Approach on Vibrating Horns Design

Abstract

An optimization method of the vibrating horns is presented considering the smallest action principle and the attached cutting tool mass. The model is based on Webster's wave propagation equation and as an objective function the minimization of the volume in structural equilibrium conditions was considered. The considered input parameters were working frequency, maximum crosssectional area, magnification coefficient, and the attached mass. At the end of the study, a new shape function of the horn's cross section is obtained. The particularity of the new obtained shape is given by the nodal point position that is the same with the position of the maximum cross-sectional area. The obtained horn was analyzed from the modal point of view using theoretical and experimental methods. As theoretical methods, both the state-space method and the finite element method were used. An experimental setup for frequency response function determination was developed using a random input signal. The verification of the magnitude value was done considering a harmonic steady-state signal. The recorded values were compared with the predicted values. The numerical simulations and tests support the validity of the assumptions used in the horns optimization design.

Dynamic response of high-power ultrasonic system based on finite element modeling of piezoelectric

“…The values provided by the manufacturer, for the material PZT-8, are shown in Table 3. The main steps to calculate the input parameter value for the finite element model in Abaqus according to the formulas (3), ( 9), and (13). When calculating the data to input in Abaqus, equation (10) and equation ( 11) degenerate into:…”

“…Therefore, to fabricate a complete ultrasonic vibration system as well as to apply existing systems in practice, it is necessary to check this parameter first. Based on related studies [13,[36][37][38][39], the authors determine the principle of determining the impedance and resonance frequency. This principle will be used in the measurement procedure to determine the amplitude of oscillations at the resonant frequency of the ultrasonic vibration system in this study.…”

“…Based on the design of the existing Langevin transducer, Mathieson Andrew succeeded in modifying the design parameters to create an ultrasound device suitable for use in bone surgery [2]. In addition, there are other studies [12][13][14][15][16][17] that also focus on the design of ultrasonic transducers for different purposes. The method of designing a new transducer has traditionally been based on trial and error, thus requiring faster and more reliable tools.…”