Suppression of self-excited vibrations by a random parametric excitation

被引：3

作者：

Bobryk, R. V. ^{[1
]}

Yurchenko, D. ^{[2
]}

Bratus, A. S. ^{[3
]}

机构：

[1] Jan Kochanowski Univ, Dept Math & Nat Sci, Kielce, Poland

[2] Heriot Watt Univ, Inst Mech Proc & Energy Engn, Edinburgh, Midlothian, Scotland

[3] Russian Univ Transport MIIT, Dept Appl Math, Moscow, Russia

来源：

NONLINEAR DYNAMICS | 2017年 / 90卷 / 03期

关键词：

Self-excited vibration; Parametric excitation; Bounded noise; Mean-square stability; BOUNDED NOISE; STOCHASTIC STABILITY; STABILIZATION; SYSTEMS;

D O I：

10.1007/s11071-017-3756-y

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

Previous theoretical and experimental studies have shown that some vibrating systems can be stabilized by zero-averaged periodic parametric excitations. It is shown in this paper that some zero-mean random parametric excitations can also be useful for this stabilization. Under some conditions, they can be even more efficient compared to the periodic ones. Two-mass mechanical system with self-excited vibrations is considered for this comparison. The so-called bounded noise is used as a model of the random parametric excitation. The mean-square stability diagrams are obtained numerically by considering an eigenvalue problem for large matrices.

引用

页码：1671 / 1679

页数：9

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