超声纵-扭复合空心变幅杆的振动特性分析

doi:10.3901/JME.2019.05.121

机械工程学报 ›› 2019, Vol. 55 ›› Issue (5): 121-129.doi: 10.3901/JME.2019.05.121

超声纵-扭复合空心变幅杆的振动特性分析

赵波, 殷森, 王晓博, 赵重阳

河南理工大学机械与动力工程学院焦作 454000

收稿日期:2018-02-28 修回日期:2018-07-09 出版日期:2019-03-05 发布日期:2019-03-05
通讯作者: 赵波(通信作者),男,1956年出生,博士,教授,博士研究生导师。主要研究方向为精密超精密加工技术与装备。E-mail:zhaob@hpu.edu.cn
作者简介:殷森,男,1992年出生,硕士研究生。主要研究方向为精密超精密加工技术与装备。E-mail:13393853376@163.com
基金资助:
国家自然科学基金（51475148）和国家重点联合基金（U1604255）资助项目。

Vibration Analysis of Ultrasonic Longitudinal-torsional Composite Hollow Horn

ZHAO Bo, YIN Sen, WANG Xiaobo, ZHAO Chongyang

School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo 454000

Received:2018-02-28 Revised:2018-07-09 Online:2019-03-05 Published:2019-03-05

摘要/Abstract

摘要： 超声纵-扭复合振动加工具有加工效率高、切削力及切削热量较低、可降低刀具磨损等优势，而纵-扭复合空心变幅杆可提供较好的冷却和排屑效果。利用四端网络法设计了圆锥过渡空心复合变幅杆，在其锥面开设螺旋沟槽作为“模态转换器”，从而在变幅杆末端成功输出纵-扭复合振动。通过有限元仿真探究了螺旋沟槽数目n、螺旋沟槽角度θ及沟槽槽宽w对谐振频率f的影响规律及敏感度，结合中心孔直径d对变幅杆节点位置、谐振频率f、放大倍数m、扭纵分量比i等的影响规律，针对开设沟槽后频率偏移问题，提出一种谐振频率修正方法，并设计试验进行了验证。

关键词: 空心变幅杆, 频率修正, 有限元分析, 纵-扭复合

Abstract: Longitudinal-torsional composite ultrasonic vibration machining has the advantages of the high machining efficiency, the low cutting force and cutting heat and the reducing of tool wear, while the longitudinal-torsional composite hollow horn can provide better cooling and chip removal effect. The four-terminal network method is used to design a conical composite hollow horn, the helical slots are formed on the composite horn's conical surface as "the modal converter" to realize the output the longitudinal-torsional composite vibration successfully. The effects and sensitivity of number of helical slots n, the helical slots angle θ and slots width w slots on the resonance frequency f are analyzed by the finite element simulation. Combined with the influence of the center hole diameter d on the node location, the resonant frequency f, the magnification m and the torsional longitudinal component ratio i of the horn, aiming at the problem of post-slots frequency offset, a method of resonant frequency correction is proposed, and the experiment was conducted to verifie the method.

Key words: finite element analysis, frequency correction, hollow horn, longitudinal-torsional composite

中图分类号:

TB559

赵波, 殷森, 王晓博, 赵重阳. 超声纵-扭复合空心变幅杆的振动特性分析[J]. 机械工程学报, 2019, 55(5): 121-129.

ZHAO Bo, YIN Sen, WANG Xiaobo, ZHAO Chongyang. Vibration Analysis of Ultrasonic Longitudinal-torsional Composite Hollow Horn[J]. Journal of Mechanical Engineering, 2019, 55(5): 121-129.

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超声纵-扭复合空心变幅杆的振动特性分析

Vibration Analysis of Ultrasonic Longitudinal-torsional Composite Hollow Horn

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