大尺寸复合变幅杆的设计及振动特性
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摘要
利用瑞利近似理论对大尺寸圆锥复合型变幅杆的振动频率进行修正,并得到修正的频率表达式.利用计算机编程计算修正频率,并将计算结果与有限元模拟结果及实验测试结果进行对比.得到修正结果比一维理论值适用范围更大,与有限元模拟值和实验测试值比较一致.利用有限元法研究大尺寸圆锥型复合变幅杆的振动特性,结果表明,谐振频率随各段长度的增加都减小,但相比较而言大段长度的影响最大,小段影响最小.
The longitudinal vibration frequency of large size tapered composite horn is modified by Rayleigh approximation theory,and the corrected frequency expression is calculated.Calculating the corrected frequency by using computer programming,the calculation results are compared with the finite element simulation results and experimental test results.It is showed that the correction results have a wider range than the one-dimensional theoretical value,and it is consistent with the experimental values and the finite element simulation value.The vibration characteristics of large size cone type composite horn are studied by using finite element method.The results show that the resonant frequency decreases with the increase of the length of each segment,but the influence of the length of large section is the biggest,the influence of thelength of the small section is the minimum.
The longitudinal vibration frequency of large size tapered composite horn is modified by Rayleigh approximation theory,and the corrected frequency expression is calculated.Calculating the corrected frequency by using computer programming,the calculation results are compared with the finite element simulation results and experimental test results.It is showed that the correction results have a wider range than the one-dimensional theoretical value,and it is consistent with the experimental values and the finite element simulation value.The vibration characteristics of large size cone type composite horn are studied by using finite element method.The results show that the resonant frequency decreases with the increase of the length of each segment,but the influence of the length of large section is the biggest,the influence of thelength of the small section is the minimum.
引文
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[11]桑永杰,林书玉.基于能量修正法进行大尺寸指数型超声变幅杆准确设计[J].应用声学,2007,26(4):193-196.SANG Yongjie,LIN Shuyu.Precise design of large dimension exponential horn based on energy modification method[J].Applied Acoustics,2007,26(4):193-196.
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[15]刘洋,郑建新,刘传绍.大截面超声珩磨圆锥型变幅杆设计[J].机械设计,2013,30(9):62-65.LIU Yang,ZHENG Jianxin,LIU Chuanshao.Design of conical horn with large section used in ultrasonic honing[J].Journal of Machine Design,2013,30(9):62-65.
[16]甘露华,张晓东,丁艳红.大尺寸圆锥形超声变幅杆谐振频率的瑞利修正[J].中国农机化学报,2015,36(1):98-101.GAN Luhua,ZHANG Xiaodong,DING Yanhong.Rayleigh correction of resonant frequency of large size conical ultrasonic horn[J].China Agricultural Chemicals,2015,36(1):98-101.
[17]张宁宁.大尺寸抛物线形超声变幅杆频率的瑞利修正[J].纺织高校基础科学学报,2016,29(2):217-221.ZHANG Ningning.Releigh correction of the frequency characteristics of a parabolic horn size[J].Basic Sciences Journal of Textile Universities,2016,29(2):217-221.
[18]伍利群.变幅杆的外形结构对超声纵向振动性能参数的影响[J].机械设计与制造,2010,23(4):212-213.WU Liqun.Influence of horn shape structure on the performance of ultrasonic longitudinal vibration[J].Machinery Design&Manufacture,2010(4):212-213.
[19]张云电.超声加工及其应用[M].北京:国防工业出版社,1995.ZHANG Yundian.Ultrasonic machining and its application[M].Beijing:National Defense Industry Press,1995.
[20]梁召峰,周光平,莫喜平,等.大尺寸圆柱形超声开槽焊头的设计[J].机械强度,2010,34(4):617-621.LIANG Zhaofeng,ZHOU Guangping,MO Xiping,et al.Design of large cross-section ultrasonic plastic welding cylindrical-type horns with slots[J].Journal of Mechanical Strength,2010,34(4):617-621.
[2]顾煜炯,周兆英,姚健.超声振动系统的四端网络设计方法及其应用[J].机械工程学报,1997,33(3):95-100.GU Yujiong,ZHOU Zhaoying,YAO Jian.Four end network design method of ultrasonic vibration system and its application[J].Journal of Mechanical Engineering,1997,33(3):95-100.
[3]赖一楠,刘向东,罗建伟,等.级联式变幅杆有限元分析[J].哈尔滨理工大学学报,2001,6(1):50-52.LAI Yinan,LIU Xiangdong,LUO Jianwei,et al.Finite element analysis of cascade horn[J].Journal of Harbin University of Science and Technology,2001,6(1):50-52.
[4]贺西平,胡时岳.复合超声纵振型变幅杆的简化设计[J].兰州大学学报(自然科学版),2002,38(5):25-27.HE Xiping,HU Shiyue.Simplify the design of composite longitudinal ultrasonic horn[J].Journal of Lanzhou University(Natural Science Edition),2002,38(5):24-26.
[5]赵福龄,冯冬菊,郭东明,等.超声变幅杆的四端网络法设计[J].声学学报,2002,27(6):554-558.ZHAO Fuling,FENG Dongju,GUO Dongming,et al.Design of four terminal network method for ultrasonic horn[J].Journal of Acoustics,2002,27(6):554-558.
[6]贺西平,高洁.超声变幅杆设计方法综述[J].声学技术,2006,25(1):82-86.HE Xiping,GAO Jie.A review of the design method of ultrasonic horn[J].Acoustic Technology,2006,25(1):82-86.
[7]阮世勋.扭振超声变幅杆谐振参数测定方法的研究[J].应用声学,1996,15(2):17-19.RUAN Shixun.Study on the determination method of resonant parameters of torsional vibration ultrasonic horn[J].Applied Acoustics,1996,15(2):17-19.
[8]林书玉.超声换能器的原理与设计[M].北京:科学出版社,2003:91-111.LIN Shuyu.Principle and design of ultrasonic transducer[M].Beijing:Science Press,2003:91-111.
[9]万德安.超声变幅杆的模态分析[J].机械与电子,2004(4):10-13.WAN Dean.Modal analysis of ultrasonic amplitude transformer[J].Mechanical and Electronic,2004(4):10-13.
[10]程存弟.超声学[M].西安:陕西师范大学出版社,1993:208-232.CHENG Cundi.Ultrasonics[M].Xi′an:Shaanxi Normal University Press,1993:208-232.
[11]桑永杰,林书玉.基于能量修正法进行大尺寸指数型超声变幅杆准确设计[J].应用声学,2007,26(4):193-196.SANG Yongjie,LIN Shuyu.Precise design of large dimension exponential horn based on energy modification method[J].Applied Acoustics,2007,26(4):193-196.
[12]林书玉.矩形横截面耦合振动复合变幅杆的设计[J].声学技术,1992,11(3):37-41.LIN Shuyu.The design of large-dimension rectangular horns[J].Technical Acoustics,1992,11(3):37-41.
[13]付志强,林书玉.大尺寸余弦形超声变幅杆的设计[J].声学技术,2008,27(5):765-768.FU Zhiqiang,LIN Shuyu.Design of cosine type ultrasonic transformers[J].Technical Acoustics,2008,27(5):765-768.
[14]林仲茂.超声变幅杆的原理与设计[M].北京:科学出版社,1987:53-196.LIN Zhongmao.The principle and design of ultrasonic horn[M].Beijing:Science Press,1987:53-196.
[15]刘洋,郑建新,刘传绍.大截面超声珩磨圆锥型变幅杆设计[J].机械设计,2013,30(9):62-65.LIU Yang,ZHENG Jianxin,LIU Chuanshao.Design of conical horn with large section used in ultrasonic honing[J].Journal of Machine Design,2013,30(9):62-65.
[16]甘露华,张晓东,丁艳红.大尺寸圆锥形超声变幅杆谐振频率的瑞利修正[J].中国农机化学报,2015,36(1):98-101.GAN Luhua,ZHANG Xiaodong,DING Yanhong.Rayleigh correction of resonant frequency of large size conical ultrasonic horn[J].China Agricultural Chemicals,2015,36(1):98-101.
[17]张宁宁.大尺寸抛物线形超声变幅杆频率的瑞利修正[J].纺织高校基础科学学报,2016,29(2):217-221.ZHANG Ningning.Releigh correction of the frequency characteristics of a parabolic horn size[J].Basic Sciences Journal of Textile Universities,2016,29(2):217-221.
[18]伍利群.变幅杆的外形结构对超声纵向振动性能参数的影响[J].机械设计与制造,2010,23(4):212-213.WU Liqun.Influence of horn shape structure on the performance of ultrasonic longitudinal vibration[J].Machinery Design&Manufacture,2010(4):212-213.
[19]张云电.超声加工及其应用[M].北京:国防工业出版社,1995.ZHANG Yundian.Ultrasonic machining and its application[M].Beijing:National Defense Industry Press,1995.
[20]梁召峰,周光平,莫喜平,等.大尺寸圆柱形超声开槽焊头的设计[J].机械强度,2010,34(4):617-621.LIANG Zhaofeng,ZHOU Guangping,MO Xiping,et al.Design of large cross-section ultrasonic plastic welding cylindrical-type horns with slots[J].Journal of Mechanical Strength,2010,34(4):617-621.