Feng Qi. Modeling of Stochastic Modulated Rattling System[J]. Applied Mathematics and Mechanics, 1999, 20(1): 85-92.
Citation: Feng Qi. Modeling of Stochastic Modulated Rattling System[J]. Applied Mathematics and Mechanics, 1999, 20(1): 85-92.

Modeling of Stochastic Modulated Rattling System

  • Received Date: 1997-04-25
  • Rev Recd Date: 1998-10-03
  • Publish Date: 1999-01-15
  • 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.
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