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工程设计学报
Chinese Journal of Engineering Design  2011, Vol. 18 Issue (6): 471-476    DOI:
    
Research and design of bending vibration transformer in ultrasonic gear honing
 SHE  Yin-Zhu1,2, LV  Ming1 , WANG  Shi-Ying1
1. College of Mechanical Engineering， Taiyuan University of Technology， Taiyuan 030024， China; 2. Department of Mechanical Engineering， Taiyuan Institute of Technology， Taiyuan 030008， China
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Abstract  The gear is a special kind of load in ultrasonic machining， which has specific requirements in vibration mode and frequency， moreover， its vibration characteristics and natural frequency have great influence on processing frequency of the system. Due to the large size and heavy weight of the gears， also that its size can not be changed， the existing design theories of vibration system such as full resonance theory， quality replacement theory and local resonance theory are not suitable for ultrasonic gear honing. In order to solve this problem， the theory of Mindlin's moderate-thick plates， ultrasonic solid horn designing and mechanical impedance were applied to study the vibration characteristics of transformer composed of solid horn and gear， and the mechanical impedance of horn and gear were derived. Then frequency equation of transformer was obtained based on the impedance-matching principle. The design theory and method are feasible and design result obtained by the suggested method is accurate，which are verified by comparing the results of design examples with that of finite element analysis and experiment. The method solves one of the key technical problems for ultrasonic machining．

Key words： ultrasonic gear honing      transformer      mechanical impedance      resonant frequency     
Published: 28 December 2011
CLC:  TH 132.4  
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Cite this article:

SHE Yin-Zhu, LV Ming , WANG Shi-Ying. Research and design of bending vibration transformer in ultrasonic gear honing. Chinese Journal of Engineering Design, 2011, 18(6): 471-476.

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https://www.zjujournals.com/gcsjxb/     OR     https://www.zjujournals.com/gcsjxb/Y2011/V18/I6/471


超声珩齿中弯曲振动变幅器的设计与研究

齿轮是超声珩齿加工中的一类特殊负载，它的振动特性和固有频率对系统的加工频率影响很大.由于齿轮的尺寸和质量大，且其尺寸不能任意更改，现有的振动系统设计理论，如全谐振设计理论、质量置换理论、局部共振理论等，都不能适用于这一情况.为解决此问题，应用Mindlin中厚板理论、变幅杆设计原理和机械阻抗理论对由变幅杆、齿轮组成的变幅器的振动特性进行研究，推导出变幅杆与齿轮的机械阻抗，并根据阻抗匹配原理得到变幅器的谐振频率方程.在此基础上进行了变幅器的设计，通过有限元分析与试验验证了设计理论和设计方法是完全可行的，且有较高求解精度，解决了超声珩齿推广应用的一项设计技术难题.

关键词： 超声珩齿,  变幅器,  机械阻抗,  谐振频率 
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