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随机阻尼Rattling振动的实验与分析
引用本文:温建明,孙宜强,冯奇.随机阻尼Rattling振动的实验与分析[J].同济大学学报(自然科学版),2010,38(12):1802-1806.
作者姓名:温建明  孙宜强  冯奇
作者单位:同济大学,航空航天与力学学院,上海,200092
基金项目:国家自然科学基金项目(10702051)
摘    要:Rattling(拍击)是齿轮在空载的条件下所产生的一种不规则的振动现象,是齿轮箱噪音的主要来源之一,属于一类非线性振动现象.从理论方面建立了Rattling振动的随机阻尼模型,采用非高斯截断技术导出一个三维平均映射表示的离散随机模型,应用Matlab语言编写程序对随机阻尼模型进行定性的分析,通过实验加以验证.最后通过数值仿真得到系统响应的碰撞庞加莱点集和分岔图.结果表明:Rattling振动随机模型在某些参数影响下会产生随机浑沌,系统平均速度的频谱为宽带过程,可以通过调节随机阻尼起到控制齿轮箱的噪声.

关 键 词:Rattling振动    随机阻尼    非高斯截断    随机浑沌    实验研究
收稿时间:1/5/2010 12:00:00 AM
修稿时间:2010/10/27 0:00:00

Experiment Analysis of Stochastic Damping Rattling Vibration
WEN Jianming,SUN Yiqiang and FENG Qi.Experiment Analysis of Stochastic Damping Rattling Vibration[J].Journal of Tongji University(Natural Science),2010,38(12):1802-1806.
Authors:WEN Jianming  SUN Yiqiang and FENG Qi
Institution:College of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China;College of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China;College of Aerospace Engineering and Applied Mechanics,Tongji University,Shanghai 200092,China
Abstract:Rattling,a nonlinear vibration,is an irregular vibration phenomenon when gear is unloaded which is the main source of the gearbox noise.A stochastic damping Rattling system was considered.Discrete stochastic model described by mean maps was established with non Gaussian truncation technique.Matlab program and experiment are applied to analyzing the dynamic response of this model.The result shows that the model will be stochastic chaos under some parameters and the power spectral density of average velocity is wide band process,and gearbox noise can be controlled by adjusting the intensity of stochastic damping.
Keywords:Rattling vibration  stochastic damping  non Gaussian truncation  stochastic chaos  experiment research
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