随机调幅Rattling系统建模

Modeling of Stochastic Modulated Rattling System

摘要: 本文研究了一个随机调幅Ratling系统。代替常用的数值分析方法,采用非高斯截断技术,导出一个由三维平均映射描述的离散的随机模型。实测指出该模型能揭示浑沌随机性质,故更适于用以模拟齿轮箱噪声源。
- Rattling系统 /
- 非高斯截断技术 /
- 浑沌随机振动 /
- 平均映射
Abstract: Rattling vibration is an important noise source of gear-box. To control that noise, it is necessary to elaborate a mathematics-mechanical model on rattling gears. In this paper, a rattling system modulated by noise was investigated. Instead of performing the very tedious numerical calculation, a discrete stochastic model described by three dimensional mean mapping was established by means of the Non-Gaussian closure technique. Through the example, the chaotic stochastic behavio may be revealed. In comparsion with deterministic model, the model developed in this paper is more approximate to practice and more availlable for acoustic investigation, so that it is suggested to be applied to modeling on rattling vibratio.
- Rattling systme /
- non-Gaussion closure technique /
- chaotic stochastic vibration /
- mean mapping

[1]	Kckay F.Dynamik der zahnradgetrieb[A].Modell,Verbahren Verhalten[M],Berlin-Heiderberg:springer Verlag,1987
[2]	Kckay F.Pfeibber F.Uber Rassel in kfz-schaltgetriebe[J].Ing-Archiv,1986,56(1):25～37
[3]	Pfelffer F.Mechanische System mit unstetigen bergang[J].Ing-Archiv,1984,54(3):232～240
[4]	Pfelffer F.On stdady dynamlcs in machines with plays[A].Proc 7th World Congress on the Theory of Machines and Mechanicsms[R],Sevilla,1987
[5]	Pfelffer F.Seltsama Attraktoren in Zahnradgetrieben[J].Ing-Archiv,1988,58(2):113～125
[6]	Kunert A.Dynamik spielbehafter Maschinenteie[Z].VDI-Bericht Nr:VDI VEklag,1992,175
[7]	Karaginnis K,Pfeiffer F.Theoretical and experimental investigations of gear rattling[J].Nonlinear Dynamics,1991,2(3):367～387
[8]	Kapitaniak T.Chaos on System with Noise[M].Singapore:World Scientific etc,1988
[9]	Ibrahim R A.Parametric random vibration[M].New York:John Wiley and Sons,INC,etc,1985
[10]	Crandall S H.Non-Gausslan closure techniques for stationary random vibration[J].Int J Non-Linear Mechanics,1985,20(1):1～8.