Interaction between Low and High-Frequency Modes in a Nonlinear System: Gas-Filled Cylinder Covered by a Movable Piston

被引：0
|
作者：
O. V. Rudenko
C. M. Hedberg
机构：
[1] Blekinge Institute of Technology,Department of Mechanics
来源：
Nonlinear Dynamics | 2003年 / 32卷
关键词：
vibration; wave; acoustics; nonlinear interaction; mathematical model; analytical solution; Lie group analysis;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A simple mechanical system containing a low-frequency vibration mode andset of high-frequency acoustic modes is considered. The frequencyresponse is calculated. Nonlinear behaviour and interaction betweenmodes is described by system of functional equations. Two types ofnonlinearities are taken into account. The first one is caused by thefinite displacement of a movable boundary, and the second one is thevolume nonlinearity of gas. New mathematical models based on nonlinearequations are suggested. Some examples of nonlinear phenomena arediscussed on the base of derived solutions.
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页码：405 / 416
页数：11
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