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齿轮系统谐波共振频率因子与主共振响应研究
引用本文:王建平,王玉新.齿轮系统谐波共振频率因子与主共振响应研究[J].西安理工大学学报,2005,21(2):134-138.
作者姓名:王建平  王玉新
作者单位:1. 西安理工大学,机械与精密仪器工程学院,陕西,西安,710048;同济大学,机械学院,上海,200092
2. 同济大学,机械学院,上海,200092
基金项目:霍英东青年教师基金资助项目(71049),中国博士后基金资助项目(2003033321)
摘    要:在已建立的考虑动态刚度、传递误差及齿侧间隙单对直齿轮传动系统动力学分析模型基础上,将齿侧间隙引起的刚度非线性函数按7次多项式拟合。运用多尺度方法分析了系统中存在的多种谐波共振频率因子,导出了系统在内部激励作用下主共振响应时稳态振动的频率响应方程,绘制了相应的频率响应曲线,并分析了系统中的静态栽荷、动态栽荷及阻尼对主共振响应的影响。

关 键 词:动态刚度  间隙  频率因子  主共振  多尺度法
文章编号:1006-4710(2005)02-0134-05
修稿时间:2004年12月20

Harmonic Resonance Frequency Factor of a Spur Geared System and Primary Resonance Research
WANG Jian-ping,WANG Yu-xin.Harmonic Resonance Frequency Factor of a Spur Geared System and Primary Resonance Research[J].Journal of Xi'an University of Technology,2005,21(2):134-138.
Authors:WANG Jian-ping  WANG Yu-xin
Abstract:Based on the establishment of considering dynamic stiffness, transfering error and tooth backlash to the dynamic analysis of straight gear driving system, the stiffness non-linear function caused by the tooth backlash clearance is fitted in terms of 7th order polynomial function. The multi-scales approach is used to analyse the harmonic resonance frequency factors existing in the system; and the frequency-response equation of steady vibration of the primary resonance under the action of internal excitation in the system is deduced. The corresponding frequency-response curves are charted. The effects of static loading, dynamic loading and damping in the system upon the primary resonance in the system are analyzed.
Keywords:dynamic stiffness  tooth backlash  frequency factor  primary resonance  multi-scales approach
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