Stochastic spur gear dynamics by numerical path integration

被引：35

作者：

Naess, A. ^{[1
]}

Kolnes, F. E.

Mo, E.

机构：

[1] Norwegian Univ Sci & Technol, Dept Math Sci, Ctr Ships & Ocean Struct, N-7034 Trondheim, Norway

[2] Norwegian Univ Sci & Technol, Dept Math Sci, Programme Ind Math, N-7034 Trondheim, Norway

来源：

JOURNAL OF SOUND AND VIBRATION | 2007年 / 302卷 / 4-5期

关键词：

D O I：

10.1016/j.jsv.2006.12.017

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

in this paper the method of numerical path integration is applied to investigate the dynamics of a model of a pair of meshing spur gears. Our approach is based on the observation that the dynamics of a nonlinear mechanical system excited by a deterministic loading process can, to a large extent, be characterized by the response obtained by adding a small white noise to the loading. By this, the response can be expressed as a Markov diffusion process, which makes available the powerful toolbox of stochastic analysis, in particular the path integration method. (c) 2007 Elsevier Ltd. All rights reserved.

引用

页码：936 / 950

页数：15

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