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STOCHASTIC MODEL ON A RATTLING SYSTEM

✍ Scribed by Q. Feng; F. Pfeiffer

Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
313 KB
Volume
215
Category
Article
ISSN
0022-460X

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✦ Synopsis

Rattling in change-over gears of automobiles is an unwanted comfort problem. 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, of backlashes and others, is modelled as an impulsive system that consists of some gears not under load being able to rattle. Modern research has shown that chaotic vibration can occur on impulsive systems with plays, which are confident of a non-linear element in mechanics. Therefore, the chaotic vibration on a rattling system has received attention. In this paper, instead of performing the very tedious numerical calculation for a rattling system, a discrete stochastic model described by a mean map is established using the non-Gaussian closure technique. By the analysis of the example this model can reveal chaotic stochastic behaviour. Based on a detailed investigation the existence of random chaos can be justified. This finding in a special impulsive system is also significant for chaos study.

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