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Theoretical Explanation for Lower Order Harmonic Resonance Phenomenon of Three—Ring Gear Transmissions
引用本文:杨建明,张策,林忠钦,陈关龙.Theoretical Explanation for Lower Order Harmonic Resonance Phenomenon of Three—Ring Gear Transmissions[J].上海交通大学学报(英文版),2003,8(1):71-74.
作者姓名:杨建明  张策  林忠钦  陈关龙
作者单位:[1]GuilinUniv.ofElectronicTechnology,Guilin541004 [2]TianjinUniv.,Tianjin300072 [3]SchoolofMechanicalandPowerEng.,ShanghaiJiaotongUniv.,Shanghai200030,China
基金项目:Partly supported by the Open Fund of the State Key Lab.of Mechanical Transmission,Chongqing U niv
摘    要:Dynamic investigations revealed that lower order harmonic resonance phenomenon exists in the threering gear transmission. That is, when the input speed is close to 1/3, 1/6, 1/9,-“, 1/3n of the primary natural frequency of the transmission, the loads on the bearings and gears are especially high. This paper explained thisphenomenon from the viewpoint of parametric resonance in terms of perturbation technique. A conclusion was drawn that the basic reason for this phenomenon is the primary resonance caused by forcing excitation and para-metric resonance caused by parametric change.

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Theoretical Explanation for Lower Order Harmonic Resonance Phenomenon of Three-Ring Gear Transmissions
YANG Jian ming ,ZHANG Ce ,LIN Zhong qin ,CHEN Guan long.Theoretical Explanation for Lower Order Harmonic Resonance Phenomenon of Three-Ring Gear Transmissions[J].Journal of Shanghai Jiaotong university,2003,8(1):71-74.
Authors:YANG Jian ming    ZHANG Ce  LIN Zhong qin  CHEN Guan long
Institution:1. School of Mechanical and Power Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China;Guilin Univ. of Electronic Technology, Guilin 541004
2. Tianjin Univ., Tianjin 300072
3. School of Mechanical and Power Eng. , Shanghai Jiaotong Univ. , Shanghai 200030, China
Abstract:Dynamic investigations revealed that lower order harmonic resonance phenomenon exists in the three-frequency of the transmission, the loads on the bearings and gears are especially high. This paper explained thisphenomenon from the viewpoint of parametric resonance in terms of perturbation technique. A conclusion wasdrawn that the basic reason for this phenomenon is the primary resonance caused by forcing excitation and para-metric resonance caused by parametric change.
Keywords:three  ring gear transmission  lower order resonance phenomenon  natural frequency  primary resonance  parametric resonance
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