Equation of small transverse vibrations of an elastic pipeline filled with a transported fluid

被引：4
|
作者：
Veklich, N. A. [1 ]
机构：
[1] Gubkin Russian State Univ Oil & Gas, Moscow 119991, Russia
来源：
MECHANICS OF SOLIDS | 2013年 / 48卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
pipeline; beam; vibrations; fluid; flow; incompressibility; continuity; hydroelasticity; trigonometric series;
D O I：
10.3103/S0025654413060101
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
The integro-differential equation of small transverse vibrations of a rectilinear elastic pipeline filled with a transported fluid is obtained. The pipeline vibrations are described in the linear setting in the beam approximation. The mutual dynamic influence of motions of the pipeline and the filling fluid is taken into account. A complete trigonometric series method is presented for solving problems with various boundary and initial conditions for the pipeline deflection.
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页码：673 / 681
页数：9
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