An amplitude prediction model for a giant magnetostrictive ultrasonic transducer

Huilin Zhou; Jianfu Zhang; Pingfa Feng; Dingwen Yu; Zhijun Wu

doi:10.1016/j.ultras.2019.106017

An amplitude prediction model for a giant magnetostrictive ultrasonic transducer

Ultrasonics. 2020 Dec:108:106017. doi: 10.1016/j.ultras.2019.106017. Epub 2019 Sep 6.

Authors

Huilin Zhou¹, Jianfu Zhang², Pingfa Feng³, Dingwen Yu¹, Zhijun Wu¹

Affiliations

¹ Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China.
² Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China. Electronic address: zhjf@tsinghua.edu.cn.
³ Beijing Key Lab of Precision/Ultra-precision Manufacturing Equipments and Control, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China; Division of Advanced Manufacturing, Tsinghua Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China.

PMID: 32690341
DOI: 10.1016/j.ultras.2019.106017

Abstract

Rotary ultrasonic machining (RUM) is widely used in the processing of brittle and hard materials. The application of giant magnetostrictive ultrasonic transducers (GMUT) with effective vibration performance is an increasingly popular field of research within RUM. A generalized amplitude prediction model for GMUT is obtained in this paper by first providing an equivalent kinetics model of the GMUT. Considering the influence on interaction force between Terfenol-D and the external mechanical mechanism, the prestress mechanism of Terfenol-D and the joint face of the horn are determined as equivalent to two spring-damping systems in series, and a general GMUT vibration equation is established. The equivalent stiffness of the prestress mechanism is then identified, and the mechanical quality factor of the vibration system is calculated by impedance analysis. The influence of the joint face of the horn and the prestress mechanism on the amplitude is then studied by nonlinear least square fitting. Based on a magnetostriction and magnetization model, an odd power amplitude prediction model with mechanical quality factor, excitation current amplitude, and excitation frequency is proposed. The experimental results demonstrate that the proposed model can effectively predict the output amplitude of the GMUT with different mechanical quality factors for different excitation signals, providing a method for system design and optimization of the GMUT.

Keywords: Equivalent stiffness; Giant magnetostrictive ultrasonic transducer; Mechanical quality factor; Odd power amplitude prediction.