Modeling of stochastic modulated rattling system

Rattling vibration is an important noise source of gear-box. To control tha t noise, it is necessary to elaborate a mathematics-mechanical model on ran ting gears. In this paper, a rattling system modulated by noise was investi gated. Instead of performing the very tedious numerical calculation, a disc rete stochastic model described by three dimensional mean mapping was estab lished by means a the Non-Gaussian closure technique. Through the example, the chaotic stochastic behavior may be revealed. In comparison with determi nistic model, the model developed in this paper is more approximate to prac tice and more available for acoustic investigation, so that it is suggested to be applied to modeling on rattling vibration.