考虑负载影响的阶梯形超声变幅杆动力特性

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振动与冲击 ›› 2012, Vol. 31 ›› Issue (4) : 157-161,.

论文

考虑负载影响的阶梯形超声变幅杆动力特性

谢欣平1; 田阿利1; 王自力1; 尹晓春2

作者信息 +

Dynamical Performance of Ultrasonic Stepped Horn with Loading

XIE Xin-ping1, TIAN A-li1, WANG Zi-li1, Yin Xiao-chun2

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摘要

考虑与加工工件表面高频重复撞击对结构动力特性的影响，基于瞬态波传播理论，研究周期激励下阶梯形超声变幅杆重复撞击加工工件的瞬态动力响应，及负载对变幅杆放大特性的影响。首先，建立阶梯形变幅杆力学模型，采用瞬态波响应法分别对接触过程和分离过程动力控制方程进行求解，得到适用于任意级数的阶梯形变幅杆的特征项传递函数，和重复撞击系统的瞬态响应理论解。以工程中常用的三级阶梯形变幅杆为算例，分析了不同外载频率下变幅杆重复撞击动力特性和负载工件对变幅杆聚能效果的影响，得出考虑加工件撞击产生的瞬态响应下的变幅杆放大系数，小于自由振动空载的设计值。可为精细超声加工变幅杆的设计提供更为精确的理论依据

Abstract

The influence of repeated impacts in high frequency upon the dynamic performance of ultrasonic horn was investigated based on the theory of propagation for the longitudinal wave, and the effect caused by loaded workpiece to the amplifying rate of horn was analyzed. The governing equations and initial-boundary conditions of a stepped horn were established separately, and the transient dynamical response solutions of the contact phase and separation phase were solved theoretically by the transient wave expansion of eigenfunctions. In addition, the transfer function of eigenfunction for stepped horn with arbitrary sections was obtained. The numerical results of a 3-section stepped horn which was wildly used in practical application simulated the transient response of multi-impact succesfully, and revealed the features of transient wave propagated in the stepped horn properly. The influences of the frequency of impulses on dynamical performance of ultrasonic machining system and the effectiveness of shaped charge with loaded workpiece were analyzed. The amplifying rate considering the impact-induced transient wave effects is less than the one obtained by the vibration theory. The present analyses would provide more accurate design for ultrasonic machining system.

导出引用

谢欣平;田阿利;王自力;尹晓春. 考虑负载影响的阶梯形超声变幅杆动力特性[J]. 振动与冲击, 2012, 31(4): 157-161,

XIE Xin-ping;TIAN A-li;WANG Zi-li;Yin Xiao-chun. Dynamical Performance of Ultrasonic Stepped Horn with Loading[J]. Journal of Vibration and Shock, 2012, 31(4): 157-161,