摘要
根据齿轮齿条啮合特性,建立了含有高频周期位移激励的叶片辊轧机非线性垂直振动模型。采用多尺度法求解了系统非线性振动的近似解,研究了高频周期位移激励的振幅、频率对叶片辊轧机非线性垂直振动的影响。研究结果表明:随着高频周期位移激励振幅的增加,系统振幅增加,且振动系统出现了高次谐波振动;高频周期位移频率的增加使振动系统振幅、频率减小,且高次谐波振动减弱。研究结果为叶片辊轧机系统动态特性优化提供理论依据。
According to the gear and rack meshing characteristics, nonlinear vertical vibration dynamic model of blade rolling mill was established containing high-frequency periodic displacement excitation. The approximate solution of nonlinear vertical vibration system was obtained using multiple scale method. The effect of amplitude and frequency of high frequency periodic displacement excitation on nonlinear vertical vibration of blade rolling mill was also studied. The results showed that, the system amplitude increased with the amplitude increase of high frequency periodic displacement excitation. The system vibration produced higher harmonic. System amplitude and frequency corresponding decreased with frequency of high frequency periodic displacement excitation increasing, and high harmonic vibrations reduced. The results provided theoretical basis for dynamic characteristics optimization of rolling mill vertical vibration system.
出处
《机械设计》
CSCD
北大核心
2016年第3期92-96,共5页
Journal of Machine Design
关键词
非线性系统
位移激励
高频周期
叶片辊轧机
nonlinear system
displacement excitation
high-frequency periodic
blade rolling mill
