Nonlinear vibrations of a cylindrical shell containing a flowing fluid

被引：15
作者：
Koval'chuk, PS [1 ]
机构：
[1] Natl Acad Sci Ukraine, SP Timoshenko Inst Mech, UA-252143 Kiev, Ukraine
来源：
INTERNATIONAL APPLIED MECHANICS | 2005年 / 41卷 / 04期
关键词：
cylindrical shell; perfect incompressible fluid; nonlinear vibrations; single-frequency method; critical velocity; amplitude-frequency characteristic; stability of vibrations;
D O I：
10.1007/s10778-005-0103-7
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The Bogolyubov-Mitropolsky method is used to find approximate periodic solutions to the system of nonlinear equations that describes the large-amplitude vibrations of cylindrical shells interacting with a fluid flow. Three quantitatively different cases are studied: (i) the shell is subject to hydrodynamic pressure and external periodical loading, (ii) the shell executes parametric vibrations due to the pulsation of the fluid velocity, and (iii) the shell experiences both forced and parametric vibrations. For each of these cases, the first-order amplitude-frequency characteristic is derived and stability criteria for stationary vibrations are established.
引用
收藏
页码：405 / 412
页数：8
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