Two-stage stochastic model on rattling vibration with amplitude modulation

Article type: Research Article

Authors: Wen, Jian Ming | Feng, Qi

Affiliations: Key Laboratory of Solid Mechanics of MOE, Tong-ji University, Si Pin Road 1329, Shanghai 200092, P.R. China

Note: [] Corresponding author: E-mail: wenjianming@mail.tongji.edu.cn

Abstract: Rattling vibration in gear boxes of automobiles is an annoying problem. It may be generated in those gear wheels of a car transmission system, which are unloaded. In recent years, very general models have been developed to analyze the rattling phenomenon. One of them, in consideration of plays being the consequence of tolerances, backlashes and others, is modeled as an impulsive system that consists of some unloaded gears being able to rattle. Modern research has shown that the chaotic vibration may occur on a rattling system. In this paper, a stochastic modulated rattling system with two-stage was studied. A discrete stochastic model described by mean map was established using non-Gaussian technique. By the analysis of the example this model can reveal chaotic stochastic behaviors.

Keywords: stochastic model, rattling vibration, non-Gaussian technique, random chaos, gear box

Journal: Shock and Vibration, vol. 11, no. 5-6, pp. 693-702, 2004