随机阻尼拍击振动的二级传动模型  

Two-stage Model on Rattling Vibration with Stochastic Damping

作　　者：孙宜强[1] 温建明[1] 冯奇[1] 

机构地区：[1]同济大学航空航天与力学学院,上海200092

出　　处：《力学季刊》2010年第2期243-249,共7页Chinese Quarterly of Mechanics

基　　金：国家自然科学基金(10702051)

摘　　要：拍击(Rattling)是汽车齿轮在空载的条件下所产生的一种不规则的振动现象,是汽车齿轮箱噪音的主要来源之一,属于一类非线性振动现象。近些年来此种振动现象已经引起很多专家的关注,并发展了各种力学模型来描述Rattling振动。本文的研究对象为随机阻尼二级传动的Rattling振动,首次从理论方面建立了Rattling振动二级传动的随机阻尼模型,并采用非高斯截断技术导出一个五维平均映射表示的离散随机模型,并应用MATLAB语言编写程序对随机阻尼模型进行定性的分析,并通过平均庞加莱图揭示随机阻尼Rattling振动的二级传动模型的性质。结果表明:随机模型能更好的模拟齿轮箱的振动和噪声,而且系统响应会随着激励幅值的增加逐步进入随机浑沌。Rattling is an irregular vibration phenomenon when automobile gear is unloaded,it is the main source of the noise of automobile transmission which belongs to nonlinear vibration.This kind of vibration has been drawn many experts＇ attention recent years and a variety of mechanical models which describe the rattling vibration have been developed.A stochastic damping rattling system with two stage was considered.The discrete stochastic model described by mean map were established by using non-Gaussian truncation technique and MATLAB program and the result shows that the model is stochastic chaos.The Poincaré map of mean velocity proves that the models reveals chaotic stochastic behavior.

关 键 词：齿轮传动 拍击振动 随机模型 非高斯截断技术 

分 类 号：TH132.41[机械工程—机械制造及自动化] O324[理学—一般力学与力学基础]