大负载纵弯谐振超声磨削变幅器的设计与试验
2018-07-13
作者：付俊帆1，秦慧斌1，2，吴霄1，牛金荣1，吕明2
单位：1中北大学先进制造技术山西省重点实验室；2太原理工大学精密加工山西省重点实验室
摘要：基于Mindlin中厚板理论，针对超声磨削系统中的大负载砂轮进行了纵弯谐振变幅器的设计研究。将纵弯谐振变幅器分为变幅杆、基体环盘、磨料层环盘三个部分，分别建立各部分的位移与应力函数，利用边界条件建立纵弯谐振超声磨削变幅器的频率方程。根据频率方程设计了超声磨削变幅器，通过有限元分析和超声谐振试验对所设计的变幅器进行了试验研究。试验结果证明：超声磨削变幅器的谐振频率与设计频率基本一致，实际测得的砂轮振幅曲线与有限元仿真和理论计算取得的曲线的形态基本一致，验证了超声磨削纵弯谐振变幅器设计方法的正确性，为超声磨削系统的设计提供了理论依据。
关键词：超声磨削；纵弯谐振；变幅器；谐振频率；Mindlin理论
中图分类号：TG580.6；TH113.1文献标志码：A
Design and Research of Longitudinalflexural Resonant Ultrasonic Grinding Transducer with Large Load
Fu Junfan，Qin Huibin，Wu Xiao，Niu Jinrong，Lv Ming
Abstract:Based on the Mindlin theory，longitudinalflexural resonant transducer is researched for the large tool load in ultrasonic grinding system.Longitudinalflexural resonant transducer is divided into horn，annular plate base，and annular plate ofabrasive layer.Displacement and stress functions of three parts are established.With boundary conditions，frequency equation of longitudinalflexural resonant transducer can be established.According to the frequency equation，a ultrasonic grinding transducer is designed.The transducer is analyzed by FEM simulation and ultrasonic resonance experiment.The result proves that resonant frequency of the ultrasonic grinding transducer agrees with the design frequency.Radial amplitude curves of grinding wheel in theoretical model and experiment are almost the same.The design method of longitudinalflexural resonant ultrasonic grinding transducer is proved correct，providing the basis for ultrasonic grinding system design.
Keywords:ultrasonic grinding；longitudinalflexural resonance；transducer；resonant frequency；Mindlin theory