超声珩齿新型变幅器动力学特性研究
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摘要
为解决超声珩齿振动系统的设计问题,将齿轮简化为厚环盘,基于变截面变幅杆纵向振动波动方程和中厚圆环板弯曲振动位移方程,根据中间有孔圆锥型变幅杆与中厚圆环组成的新型超声珩齿变幅器的非谐振性和边界条件,推导出了系统谐振频率方程,利用数值计算分析了变幅器的几何参数对系统谐振频率的影响。通过有限元分析得出变幅器的谐振频率与理论计算结果基本一致。在此基础上,对设计的变幅器进行了动力学试验,测得的动力学参数与理论结果一致,其结果不仅证实了非谐振理论的正确性,而且为超声珩齿变幅器的设计和应用提供了理论依据。
In order to solve design problems of ultrasonic gear honing vibration system, the gear was simplified as a thick annular plate. Based on variable cross-section horn longitudinal vibration equation and mid-thick circular plate flexural vibration displacement equation, the system resonant frequency equation was deduced according to the non-resonance of new ultrasonic gear honing transformer composed of cone hone with a hole in the middle and mid-thick circular and boundary conditions. The influence of geometric parameters of transformer on the resonant frequency of the system was analyzed. The transformer resonant frequency from finite element analysis and theoretical calculation results were consistent. The dynamic experiments were performed on the designed transformer. The measured kinetic parameters were consistent with theoretical results. The results not only confirmed the correctness of the non-resonance theory, but also provided a theoretical basis for the design of ultrasonic gear honing transformer.
In order to solve design problems of ultrasonic gear honing vibration system, the gear was simplified as a thick annular plate. Based on variable cross-section horn longitudinal vibration equation and mid-thick circular plate flexural vibration displacement equation, the system resonant frequency equation was deduced according to the non-resonance of new ultrasonic gear honing transformer composed of cone hone with a hole in the middle and mid-thick circular and boundary conditions. The influence of geometric parameters of transformer on the resonant frequency of the system was analyzed. The transformer resonant frequency from finite element analysis and theoretical calculation results were consistent. The dynamic experiments were performed on the designed transformer. The measured kinetic parameters were consistent with theoretical results. The results not only confirmed the correctness of the non-resonance theory, but also provided a theoretical basis for the design of ultrasonic gear honing transformer.
引文
[l]梁国星,徐灵岩,张宇.超声波珩齿加工机理的研究[J].太原科技,2007,13(4):71-72.
[2]张秀琴,王时英,吕明.高精度超声波辅助珩齿装置设计[J].机械设计与制造,2010,16(8):53-55.
[3]王时英,吕明,轧刚.非谐环盘及变幅杆组成的变幅器动力学特性研究[J].声学学报,2008,33(5):462-468.
[4]Wang Shi-Ying,Lv Ming,Ya Gang.Research on system design of ultrasonic-assisted honing of gears[J].Advanced Materials Research,2008,54(9):191-196.
[5]吕明,王时英,轧刚.超声珩齿弯曲振动变幅器的位移特性[J].机械工程学报,2008,44(7):106-111.
[6]王时英,吕明,轧刚.超声珩齿指数型变幅器的动力学特性[J].机械工程学报,2007,43(6):190-193.
[7]余银柱,吕明,王时英.非谐振单元变幅器的设计及其动力学研究[J].机械工程学报,2012,28(7):49-54.
[8]高晓旭.超声辅助珩齿加工的理论分析与实验研究[D].太原:太原理工大学,2010.
[9]李庆芬.超声珩齿振动系统动力学特性分析与仿真[J].噪声与振动控制,2011,23(8):33-36.
[10]吕明,佘银柱,秦慧斌.超声珩齿振动系统的设计方法及其动力学特性[J].振动与冲击,2013,32(2):147-152.
[11]Xiang Y,Hang L.Free vibration analysis of stepped circular minding plates[J].Journal of Sound and Vibration,2005,280:633-655.
[12]潘晓娟,贺西平.厚圆盘弯曲振动的研究[J].物理学报,2010,59(11):7911-7915.
[13]刘志永,贺西平,周宏健.厚圆盘基频振动声场指向性[J].云南大学学报:自然科学版,2011,33(5):569-572.
[14]佘银柱,吕明,王时英.超声珩齿中弯曲振动变幅器的设计与研究[J].工程设计学报,2011,18(6):471-477.
[15]曹志远,杨异天.厚板动力学理论及其应用[M].北京:科学出版社,1983.
[16]林仲茂.超声变幅杆的原理和设计[M].北京:科学出版社,1987.
[2]张秀琴,王时英,吕明.高精度超声波辅助珩齿装置设计[J].机械设计与制造,2010,16(8):53-55.
[3]王时英,吕明,轧刚.非谐环盘及变幅杆组成的变幅器动力学特性研究[J].声学学报,2008,33(5):462-468.
[4]Wang Shi-Ying,Lv Ming,Ya Gang.Research on system design of ultrasonic-assisted honing of gears[J].Advanced Materials Research,2008,54(9):191-196.
[5]吕明,王时英,轧刚.超声珩齿弯曲振动变幅器的位移特性[J].机械工程学报,2008,44(7):106-111.
[6]王时英,吕明,轧刚.超声珩齿指数型变幅器的动力学特性[J].机械工程学报,2007,43(6):190-193.
[7]余银柱,吕明,王时英.非谐振单元变幅器的设计及其动力学研究[J].机械工程学报,2012,28(7):49-54.
[8]高晓旭.超声辅助珩齿加工的理论分析与实验研究[D].太原:太原理工大学,2010.
[9]李庆芬.超声珩齿振动系统动力学特性分析与仿真[J].噪声与振动控制,2011,23(8):33-36.
[10]吕明,佘银柱,秦慧斌.超声珩齿振动系统的设计方法及其动力学特性[J].振动与冲击,2013,32(2):147-152.
[11]Xiang Y,Hang L.Free vibration analysis of stepped circular minding plates[J].Journal of Sound and Vibration,2005,280:633-655.
[12]潘晓娟,贺西平.厚圆盘弯曲振动的研究[J].物理学报,2010,59(11):7911-7915.
[13]刘志永,贺西平,周宏健.厚圆盘基频振动声场指向性[J].云南大学学报:自然科学版,2011,33(5):569-572.
[14]佘银柱,吕明,王时英.超声珩齿中弯曲振动变幅器的设计与研究[J].工程设计学报,2011,18(6):471-477.
[15]曹志远,杨异天.厚板动力学理论及其应用[M].北京:科学出版社,1983.
[16]林仲茂.超声变幅杆的原理和设计[M].北京:科学出版社,1987.