超声变幅杆与杯型工具一体化设计  

The integrated design of ultrasonic horn and cupped tool

作　　者：马付建[1] 董志刚[2] 康仁科[2] 张生芳[1] 沙智华[1] 

机构地区：[1]大连交通大学机械工程学院,辽宁大连116028 [2]大连理工大学精密与特种加工教育部重点实验室,辽宁大连116024

出　　处：《振动工程学报》2016年第2期231-236,共6页Journal of Vibration Engineering

基　　金：国家重点基础研究发展计划资助项目(2011CB013201);国家自然科学基金资助项目(51505057);辽宁省教育厅科学研究项目(L2014181)

摘　　要：基于细长杆纵振理论和薄圆盘振动理论,针对超声变幅杆与杯型工具开展一体化设计研究。通过分析各段的振动模态,将超声变幅杆和杯型工具的振动分为"纵-弯-纵"三个部分,分别建立三段位移和应力函数及边界条件,推导得出超声变幅杆和杯型工具的总体频率方程。根据得到的总体频率方程,设计出典型的超声变幅杆和杯型工具。对所设计的超声变幅杆和杯型工具的振动性能进行有限元分析和试验测试,分析和试验结果表明,超声变幅杆和杯型工具谐振频率的设计结果和有限元分析及测试结果的误差均在10%以内,验证了所建立的超声变幅杆和杯型工具的频率方程的正确性,并分析了各段长度和半径对超声变幅杆和杯型工具谐振频率的影响规律,为其谐振频率的修正提供了依据。The integrated design of ultrasonic horn and cupped tool is researched, based on the longitudinal vibration theory of slender rod and the vibration theory of thin disc. The vibration mode of ultrasonic horn and cupped tool is consisted of three components, longitudinal vibration part, flexural vibration part and longitudinal vibration part, along the center axis. The displacement and stress functions of these parts are established, including the boundary conditions of them. The whole frequency equation of ultrasonic horn and cupped tool is deduced by combining these functions and boundary conditions. A typical ultrasonic horn and cupped tool is designed, according to the deduced frequency equation. The vibration performances of the designed ultrasonic horn and cupped tool are researched by finite element analysis and practical test. The analyzed and tested resuits show that the error of the resonance frequency of the designed ultrasonic horn and cupped tool is less than 10 %, compared with the analyzed and tested resonance frequency. The validity of the deduced frequency equation is verified. The influence law of the length and radius of each section on the resonance frequency of ultrasonic horn and cupped tool is analyzed, and the basis of resonance frequency modification is provided by this law.

关 键 词：机械振动 模态分析 超声 变幅杆 杯型工具 

分 类 号：TH113.1[机械工程—机械设计及理论] TB559[理学—物理]