Abstract

Metal-endings are integral part of different ultrasonic sandwich transducers. In this paper a new Matlab/Simulink 3D model of the finite metal rings and discs of various dimensions is realized. With this model, which describes both the thickness and the radial resonant modes, and the coupling between them, mechanical impedance of the sample can be easily computed. Resonance frequency-length curves for rings and disks with various materials and for different selected dimensions are given. Also, comparisons of the different approaches in determining of their resonant frequencies are shown. The proposed Matlab/Simulink model requires simpler implementation than other analytical models. That enabled modifying of 1D theory and simplified modelling and projecting of the ultrasonic sandwich transducers with short-endings. Finally, the computed and experimental results are compared.

Highlights

  • Metal rings and discs, in along with piezoceramic rings and metal bolt, are the main constituents of power ultrasonic sandwich transducers

  • Modeling of the power ultrasonic transducers is conditioned by the development of suitable models piezoceramic rings and discs, and, in parallel with this, by the development of models of metal endings of the transducers with same or similar shape

  • This paper presents a new approach to modeling a metal ending in a ring, disk or cylinder shape

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Summary

Introduction

In along with piezoceramic rings and metal bolt, are the main constituents of power ultrasonic sandwich transducers. The calculation procedures of numerical methods are very slow, and main goal was to find a simpler, but sufficiently accurate, method for determining the resonant frequencies of these metal parts of the transducer [3] These methods are always implied the introduction of additional approximations in solving threedimensional problems of linear elasticity, so that the mentioned method is always tied to the metal samples of negligible diameter in relation to their length, and samples of negligible thickness in comparison with their diameter. This paper presents a new Matlab/Simulink model witch use 3D model of metal rings and discs of finite length, for different values of the inner radius and the length (thickness) Using this model, which describes the thickness and the radial resonant modes of samples witch are loaded on all of its boundary surfaces, as well as their mutual coupling, the mechanical impedance of the metal ending can be calculated. A comparison between the calculated and experimental results is shown

Description of Leading Equations
Numerical results
Comparison of Numerical and experimental Results
Findings
Conclusion
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