Stability of a pipeline section with an elastic support

被引：5

作者：

Bolotin, V. V. ^{[1
,2
]}

Radin, V. P. ^{[1
,2
]}

Chirkov, V. P. ^{[1
,2
]}

Shchugorev, A. V. ^{[1
,2
]}

机构：

[1] Moscow Power Engn Inst Tech Univ, Krasnokazarmennaya 14, Moscow 111250, Russia

[2] Tech Univ, Moscow Power Engn Inst, Moscow 111250, Russia

来源：

MECHANICS OF SOLIDS | 2009年 / 44卷 / 01期

关键词：

Imaginary Axis; Relative Mass; Stability Domain; Characteristic Exponent; Trivial Equilibrium;

D O I：

10.3103/S0025654409010166

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We systematically study the stability of a pipeline section filled with a moving nonviscous fluid. The computational scheme of the pipeline is a rod one of whose ends is rigidly fixed and the other is elastically supported. For the problem parameters we take the fluid relative mass, the fluid flow rate, and the rigidity of the elastic support. We study the dynamic buckling frequencies and modes for various critical values of the parameters and the behavior of characteristic exponents on the complex plane. We also analyze the influence of the elastic support on the position of the stability region boundaries and on the type of buckling in the transition to a critical state.

引用

页码：149 / 157

页数：9