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带有锥形孔的复合变幅杆设计及动态分析
引用本文:唐 军,赵 波.带有锥形孔的复合变幅杆设计及动态分析[J].应用声学,2017,36(3):234-240.
作者姓名:唐 军  赵 波
作者单位:新乡学院 机电工程学院,河南理工大学-机械与动力工程学院
基金项目:国家“863”计划资助项目(2013AA040103);
摘    要:在超声振动拉丝加工过程中,为了实现线材的顺利拉拔,需要应用带有锥形孔的复合变幅杆。为此,本文基于等效四端网络与传输矩阵法,建立了带锥形孔圆锥变幅杆的传输矩阵,推导出带锥形孔圆锥过渡复合变幅杆的频率方程的一般公式。根据推导出的频率方程,应用区间搜索法和牛顿迭代法获取了准确的数值解,实现了该复合变幅杆的纵向振动。之后,应用有限元软件Ansys对设计出的复合变幅杆分别进行模态分析和动力学特性分析,获得了各段不同长度下复合变幅杆谐振频率、放大系数以及最大应力值的变化规律。最后,对制造出的复合变幅杆进行阻抗与振动性能测试,结果表明其频率准确,且振幅比较稳定。

关 键 词:超声拉丝  复合变幅杆  传输矩阵  有限元分析
收稿时间:2016/8/11 0:00:00
修稿时间:2017/4/19 0:00:00

Design and dynamic analysis on the composite horn with taper hole
Tang jun and Zhao Bo.Design and dynamic analysis on the composite horn with taper hole[J].Applied Acoustics,2017,36(3):234-240.
Authors:Tang jun and Zhao Bo
Institution:Xinxiang University-Department of mechanical and electrical engineering,Henan Polytechnic University-School of Mechanical and Power Engineering
Abstract:In the process of ultrasonic vibration wire-drawing, composite horn with taper hole is needed to realize the wire smooth drawing. Therefore, Based on equivalent four-terminal network and transmission matrix method, the transmission matrix of conical horn with tapered hole is established, and the general expression of the frequency equation of conical transition composite horn with taper hole is derived. According to the derived frequency equation, the exact numerical solution is obtained by the interval search method and the Newton iteration method, and the longitudinal vibration of the composite horn is realized. Then, the model analysis and dynamic characteristics analysis of composite horn are carried out by the finite element software Ansys. The distribution of resonant frequency, amplification coefficient and the maximum stress value are obtained under different length of each part with different section shapes, providing a reliable basis for the design and manufacture of the composite horn. At last, the impedance and vibration performance of the manufactured composite horn is tested. The results show that manufactured composite horn is not only accurate frequency and the amplitude stability.
Keywords:Ultrasonic vibration wire-drawing  Composite horn  Transfer matrix  Finite element analysis (FEA)
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