旋转超声内圆磨削砂轮变幅器的设计与试验研究  

Design and experimental study of wheel amplitude transformer for rotary ultrasonic internal grinding

作　　者：马彪 秦慧斌[1] 冯毅 白旭日 辛佳毅 MA Biao;QIN Hui-bin;FENG Yi;BAI Xu-ri;XIN Jia-yi(Shanxi Key Laboratory of Advanced Manufacturing Technology,North University of China,Taiyuan 030051,China;Taiyuan Tools Factory Co.,Ltd.,Taiyuan 030008,China)

机构地区：[1]中北大学先进制造技术山西省重点实验室,山西太原030051 [2]太原工具厂有限责任公司,山西太原030008

出　　处：《工程设计学报》2023年第1期117-126,共10页Chinese Journal of Engineering Design

基　　金：山西省专利推广实施资助项目(20210519);山西省研究生创新项目(2021Y590)。

摘　　要：砂轮变幅器是旋转超声内圆磨削谐振系统的关键部件,其设计质量直接影响超声磨削的工艺效果。但目前内圆磨削砂轮变幅器缺乏较为完善的理论分析模型。为提高砂轮变幅器理论分析模型的通用性,基于非谐振设计理论建立了纵向谐振砂轮变幅器的理论分析模型,并利用砂轮变幅器各振动单元间的力、位移连续条件与边界条件推导了其频率方程。然后,针对频率方程进行编程求解,并通过ANSYS有限元仿真分析进行验证。最后,加工制作了纵向谐振砂轮变幅器,并开展阻抗特性分析试验、超声谐振试验和振动位移测量试验,分析了其谐振特性。试验结果表明,所研制的砂轮变幅器的谐振试验频率与理论设计频率一致,其输出端振动位移的试验值与仿真值的相对误差为7.83%,符合旋转超声内圆磨削的要求,验证了理论分析模型求解的正确性。研究结果为旋转超声内圆磨削砂轮变幅器的设计提供了便捷且有效的方法。The wheel amplitude transformer is the key component of the rotary ultrasonic internal grinding resonant system, and its design quality directly affects the process effect of ultrasonic grinding.However, at present, the wheel amplitude transformer for internal grinding lacks a relatively complete theoretical analysis model. In order to improve the generality of the theoretical analysis model of wheel amplitude transformers, a theoretical analysis model of the longitudinal resonant wheel amplitude transformer was established based on the non-resonant design theory, and the frequency equation was derived by using the force and displacement continuity conditions and boundary conditions between the vibration elements of the wheel amplitude transformer. Then, the frequency equation was solved by programming and verified by ANSYS finite element simulation analysis. Finally, the longitudinal resonant wheel amplitude transformer was manufactured, and the impedance characteristic analysis test,ultrasonic resonance test and vibration displacement measurement test were carried out to analyze its resonance characteristics. The test results showed that the resonant test frequency of the developed wheel amplitude transformer was consistent with the theoretical design frequency, and the relative error between the test value and the simulation value of the vibration displacement at its output end was 7.83%, which met the requirements of rotary ultrasonic internal grinding and verified the correctness of the theoretical analysis model. The research results provide a convenient and effective method for the design of wheel amplitude transformer in rotary ultrasonic internal grinding.

关 键 词：旋转超声内圆磨削 砂轮变幅器 理论分析模型 频率方程 谐振特性分析 

分 类 号：TH113.1[机械工程—机械设计及理论] TG743[金属学及工艺—刀具与模具]