基于局部共振理论的齿轮成形磨削纵弯谐振系统设计

郭星晨,赵波,尹龙,别文博,王晓博

振动与冲击 ›› 2021, Vol. 40 ›› Issue (18) : 15-24.

PDF(1823 KB)
PDF(1823 KB)
振动与冲击 ›› 2021, Vol. 40 ›› Issue (18) : 15-24.
论文

基于局部共振理论的齿轮成形磨削纵弯谐振系统设计

  • 郭星晨,赵波,尹龙,别文博,王晓博
作者信息 +

Design of a longitudinal bending resonance system for gear forming grinding based on the local resonance theory

  • GUO Xingchen,ZHAO Bo,YIN Long,BIE Wenbo,WANG Xiaobo
Author information +
文章历史 +

摘要

为获取超声磨齿纵弯谐振系统的有效设计方法,基于局部共振理论,对磨削系统中的大负载成形砂轮盘振动系统进行设计与研究。根据振动单元间的连续条件和边界条件,按照一体式设计思路建立纵弯谐振系统的理论模型和频率方程。基于该理论模型,利用MATLAB、ANSYS等分析软件对系统各部分尺寸参数进行设计与优化,并进行有限元模态分析、阻抗分析试验和超声谐振试验。仿真与试验结果表明,系统谐振效果和振型曲线输出比较稳定,振幅与理论仿真预期结果相符,且系统实测谐振频率、设计频率以及仿真频率之间误差维持在5%范围内,具有较好的设计精度。从而,有效验证了基于局部共振设计理论的砂轮盘纵弯谐振系统设计方法的可行性及准确性。

Abstract

In order to obtain the effective design method for an ultrasonic tooth grinding longitudinal bending resonance system, based on the local resonance theory, the vibration system composed of a large-load forming grinding wheel disc in the grinding system was proposed and designed.According to the continuous conditions and boundary conditions between the vibration units, the theoretical model and frequency equation of the longitudinal bending resonance system were established according to the integrated design idea.Based on the theoretical model, the analysis softwares MATLAB and ANSYS were used to design and optimize the size parameters of each part of the system, and the finite element modal analysis, impedance analysis experiment and ultrasonic resonance test were carried out.The simulation and test results show that the system resonance effect and mode shape curves observed are relatively stable, the amplitude value is consistent with the expected result of the theoretical simulation, and the errors between the measured resonance frequency, the design frequency and the simulation frequency of the system maintain within 5%, which is of good design accuracy.Therefore, the feasibility and accuracy of the design method for the longitudinal bending resonance system of the grinding wheel disk based on the local resonance design theory are effectively verified.

关键词

局部共振理论 / 纵弯谐振 / 超声磨齿 / 成形砂轮

Key words

local resonance theory / longitudinal bending resonance / ultrasonic grinding teeth / forming grinding wheel

引用本文

导出引用
郭星晨,赵波,尹龙,别文博,王晓博. 基于局部共振理论的齿轮成形磨削纵弯谐振系统设计[J]. 振动与冲击, 2021, 40(18): 15-24
GUO Xingchen,ZHAO Bo,YIN Long,BIE Wenbo,WANG Xiaobo. Design of a longitudinal bending resonance system for gear forming grinding based on the local resonance theory[J]. Journal of Vibration and Shock, 2021, 40(18): 15-24

参考文献

[1]何玉辉,万荣桥,周剑杰,等.轴向超声振动磨削硬脆性材料表面粗糙度建模研究[J].振动与冲击, 2017,36(23): 194-200.
HE Yuhui, WAN Rongqiao, ZHOU Jianjie, et al.Modeling forsurface roughness of hard and brittle materials in axial ultrasonic vibration grinding[J].Journal of Vibration and Shock, 2017,36(23): 194-200.
[2]何玉辉,周群,郎献军.轴向超声振动辅助磨削的磨削力研究[J].振动与冲击, 2016,35(4): 170-176.
HE Yuhui, ZHOU Qun, LANG Xianjun.Study on grinding force of axial ultrasonic vibration assisted grinding[J].Journal of Vibration and Shock, 2016,35(4): 170-176.
[3]何玉辉,唐楚,唐进元,等.轴向超声振动辅助磨削的表面残余应力建模[J].振动与冲击, 2017,36(22): 185-191.
HE Yuhui, TANG Chu, TANG Jinyuan, et al.Modeling of grinding surface residual stress assisted with axial ultrasonic vibration[J].Journal of Vibration and Shock, 2017,36(22): 185-191.
[4]徐瑞玲,赵波.基于切向超声的平面磨削参数有效性研究[J].金刚石与磨料磨具工程, 2015,35(6): 32-36.
XU Ruiling, ZHAO Bo.Study on effectiveness of plane grinding parameters based on tangential ultrasonic vibration[J].Diamond & Abrasives Engineering, 2015,35(6): 32-36.
[5]李厦,王锴霖.超声振动辅助缓进给磨削温度场仿真与试验分析[J].表面技术, 2018,47(7): 265-269.
LI Sha, WANG Kailin.Simulation and experimental analysis of ultrasonic vibration assisted creep feed grinding temperature field[J].Surface Technology, 2018,47(7): 265-269.
[6]俞超.旋转超声磨削装置的研制与试验[D].南昌:江西农业大学, 2013.
[7]刘传绍,郑建新,赵波,等.超声振动钻削声学系统的设计研究[J].电加工与模具, 2003(2): 44-47.
LIU Chuanshao, ZHENG Jianxin, ZHAO Bo, et al.Design and research of ultrasonic vibration drilling acoustic system[J].Electromachining & Mould, 2003(2): 44-47.
[8]曹凤国,张勤俭.超声加工技术的研究现状及其发展趋势[J].电加工与模具, 2005(增刊1): 25-31.
CAO Fengguo, ZHANG Qinjian.Research situation and development trend of the ultrasonic machining technology[J].Electromachining & Mould, 2005(Suppl.1): 25-31.
[9]赵波,别文博,王晓博,等.基于局部共振理论的超声加工技术研究进展[J].航空制造技术, 2018,61(21): 40-46.
ZHAO Bo, BIE Wenbo, WANG Xiaobo, et al.Development of ultrasonic-assisted machining based on load resonance[J].Aeronautical Manufacturing Technology, 2018,61(21): 40-46.
[10]范国良,应崇福,林仲茂,等.一种新型的超声加工深小孔的工具系统[J].应用声学, 1982,1(1): 2-7.
FAN Guoliang, YING Chongfu, LIN Zhongmao, et al.A new type of ultrasonic tool system for deep and small holes[J].Applied Acoustics, 1982,1(1): 2-7.
[11]LIN S Y, XU L, HU W X.A new type of high power composite ultrasonic transducer[J].Journal of Sound and Vibration, 2010,330(7): 1419-1431.
[12]SUZUKI N, HARITANI M, YANG J B, et al.Elliptical vibration cutting of tungsten alloy molds for optical glass parts[J].CIRP Annals-Manufacturing Technology, 2007,56(1): 127-130.
[13]SILGE M, SATTEL T.Design of contactlessly powered and piezoelectrically actuated tools for non-resonant vibration assisted milling[J].Actuators, 2018,7(2): 1-17.
[14]李鹏涛,赵波,赵重阳,等.超声局部共振系统设计与试验研究[J].兵工学报, 2019,40(8): 1747-1755.
LI Pengtao, ZHAO Bo, ZHAO Chongyang, et al.Design and experimental study of ultrasonic local resonance system[J].Acta Armamentarii, 2019,40(8): 1747-1755.
[15]LI X P, ZHANG C H, WANG S Y.Non-resonant structure design of catenary transformer in ultrasonic gear honing[J].Wuhan University Journal of Natural Sciences, 2012,17(1): 67-72.
[16]付俊帆,秦慧斌,吕明.基于Mindlin理论的功率超声纵弯谐振变幅器设计理论与试验研究[J].振动与冲击, 2018,37(7): 259-266.
FU Junfan, QIN Huibin, L Ming.Design and experiment of ultrasonic longitudinal-flexural resonance transducer based on Mindin theory[J].Journal of Vibration and Shock, 2018,37(7): 259-266.
[17]吕明,王时英,轧刚.超声珩齿弯曲振动变幅器的位移特性[J].机械工程学报, 2008,44(7): 106-111.
L Ming, WANG Shiying, YA Gang.Displacement characteristics of transverse vibration dis transformer in ultrasonic gear honing[J].Chinese Journal of Mechanical Engineering, 2008,44(7): 106-111.
[18]马付建,董志刚,康仁科,等.超声变幅杆与杯形工具一体化设计[J].振动工程学报, 2016,29(2): 231-236.
MA Fujian, DONG Zhigang, KANG Renke, et al.The integrated design of ultrasonic horn and cupped tool[J].Journal of Vibration Engineering, 2016,29(2): 231-236.
[19]陈汇资,赵波,赵金坠,等.杯形工具复合变幅杆设计及振动特性分析[J].振动与冲击, 2017,36(9): 159-165.
CHEN Huizi, ZHAO Bo, ZHAO Jinzhui, et al.Design of a cup horn and its vibration characteristics analysis[J].Journal of Vibration and Shock, 2017,36(9): 159-165.
[20]HE X P, YAO J, ZHANG H D, et al.Effects of excitation area of longitudinal transducer on the flexural vibration characteristics of a rectangular plate in stripe mode[J].Ultrasonics, 2015,58: 104-110.
[21]NING J F, HE X P, ZHAO G P.Effects of driving frequency of longitudinal transducer on the vibration characteristics of a stepped plate[J].Applied Acoustics, 2014,79: 164-168.
[22]林仲茂.超声变幅杆的原理和设计[M].北京:科学出版社, 1987.
[23]屈维德.机械振动手册[M].北京:机械工业出版社,1992.
[24]赵波,何定东.超声珩磨局部共振问题研究[J].机械工艺师, 1998(6): 4-6.
ZHAO Bo, HE Dingdong.Research on local resonance of ultrasonic honing[J].Machinery Manufacturing Engineer, 1998(6): 4-6.
[25]杨卫平,吴勇波,徐家文.超声椭圆振动-化学机械复合抛光工具及试验研究[J].机械科学与技术, 2008,27(7): 841-847.
YANG Weiping, WU Yongbo, XU Jiawen.A hybrid technique of ultrasonic-elliptic-vibration-assisted chemical-mechanical polishing and its experimental investigation[J].Mechanical Science and Technology for Aerospace Engineering, 2008,27(7): 841-847.

PDF(1823 KB)

Accesses

Citation

Detail

段落导航
相关文章

/