Determination of natural frequencies of fluid-conveying pipes using homotopy perturbation method

被引：54
作者：
Xu, M. -R. [2 ]
Xu, S. -P. [1 ]
Guo, H. -Y. [1 ]
机构：
[1] Ocean Univ China, Coll Engn, Qingdao 266100, Peoples R China
[2] Univ Jinan, Sch Sci, Jinan 250022, Peoples R China
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 60卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Fluid-conveying pipes; Homotopy perturbation method; Natural frequency;
D O I：
10.1016/j.camwa.2010.04.049
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In the present paper the natural frequencies of fluid-conveying pipes with pinned-pinned boundary condition are derived explicitly in a systematical and straightforward way with the help of homotopy perturbation method. Numerical results are presented for two cases and the effect of fluid flow velocity on the natural frequencies is discussed. Good agreement with their experimental and FEM counterparts is found numerically over ranges of practical interest. (C) 2010 Elsevier Ltd. All rights reserved.
引用
收藏
页码：520 / 527
页数：8
相关论文
共 16 条
[1]   Homotopy perturbation method for solving hyperbolic partial differential equations [J].
Biazar, J. ;
Ghazvini, H. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (02) :453-458
[2]  
Biazar J, 2007, INT J NONLINEAR SCI, V8, P413
[3]  
BIAZAR J, 2008, APPL MATH SCI, V2, P2691
[4]  
Blevins RD., 1990, Flow-induced vibrations
[5]  
DODDS HL, 1965, D2870 NASA
[6]   UNSTABLE OSCILLATION OF TUBULAR CANTILEVERS CONVEYING FLUID .2. EXPERIMENTS [J].
GREGORY, RW ;
PAIDOUSSIS, MP .
PROCEEDINGS OF THE ROYAL SOCIETY OF LONDON SERIES A-MATHEMATICAL AND PHYSICAL SCIENCES, 1966, 293 (1435) :528-+
[7]   Homotopy perturbation method for solving boundary value problems [J].
He, JH .
PHYSICS LETTERS A, 2006, 350 (1-2) :87-88
[8]   The homotopy perturbation method for nonlinear oscillators with discontinuities [J].
He, JH .
APPLIED MATHEMATICS AND COMPUTATION, 2004, 151 (01) :287-292
[9]   Application of homotopy perturbation method to nonlinear wave equations [J].
He, JH .
CHAOS SOLITONS & FRACTALS, 2005, 26 (03) :695-700
[10]   Homotopy perturbation technique [J].
He, JH .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1999, 178 (3-4) :257-262
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