Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method

The rotating pipe conveying fluid is considered. Non-linear (geometrical non-linearity) equation of the motion of the pipe is derived using the finite element method. The equation of motion is derived based of the following assumptions: fluid is incompressible and inviscid; rotory inertia and shear...

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Main Author:	Marijonas BogdeviÄius
Format:	Article
Language:	English
Published:	Vilnius Gediminas Technical University 2003-10-01
Series:	Transport
Subjects:	Rotating pipe fluid vibration dynamic response finite element method
Online Access:	http://localhost/journals.vgtu.lt/index.php/Transport/article/view/8643

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spelling	doaj-725cd18165ff4de7a4fd69429e8a84f42021-07-02T04:21:30ZengVilnius Gediminas Technical UniversityTransport1648-41421648-34802003-10-0118510.3846/16483840.2003.10414101Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element methodMarijonas BogdeviÄius0Dept of Transport Technological Equipment , Vilnius Gediminas Technical University , PlytinÄ—s g. 27, LT-201, Vilnius, Lithuania The rotating pipe conveying fluid is considered. Non-linear (geometrical non-linearity) equation of the motion of the pipe is derived using the finite element method. The equation of motion is derived based of the following assumptions: fluid is incompressible and inviscid; rotory inertia and shear deformation of the pipe are neglected. The sources of parametric vibration are: fluid velocity and pressure, angular speed of pipe. The possibility to solve a nonlinear response problem including sub-and/or super-harmonic using the finite element method is shown. Numerical results are derived considering the rotating cantilevered pipe conveying fluid. All matrices and vectors of the finite element method are derived by the symbolic computation system Maple. First Published Online: 19 Dec 2011 http://localhost/journals.vgtu.lt/index.php/Transport/article/view/8643Rotating pipefluidvibrationdynamic responsefinite element method
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Marijonas BogdeviÄius
spellingShingle	Marijonas BogdeviÄius Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method Transport Rotating pipe fluid vibration dynamic response finite element method
author_facet	Marijonas BogdeviÄius
author_sort	Marijonas BogdeviÄius
title	Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
title_short	Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
title_full	Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
title_fullStr	Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
title_full_unstemmed	Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
title_sort	nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method
publisher	Vilnius Gediminas Technical University
series	Transport
issn	1648-4142 1648-3480
publishDate	2003-10-01
description	The rotating pipe conveying fluid is considered. Non-linear (geometrical non-linearity) equation of the motion of the pipe is derived using the finite element method. The equation of motion is derived based of the following assumptions: fluid is incompressible and inviscid; rotory inertia and shear deformation of the pipe are neglected. The sources of parametric vibration are: fluid velocity and pressure, angular speed of pipe. The possibility to solve a nonlinear response problem including sub-and/or super-harmonic using the finite element method is shown. Numerical results are derived considering the rotating cantilevered pipe conveying fluid. All matrices and vectors of the finite element method are derived by the symbolic computation system Maple. First Published Online: 19 Dec 2011
topic	Rotating pipe fluid vibration dynamic response finite element method
url	http://localhost/journals.vgtu.lt/index.php/Transport/article/view/8643
work_keys_str_mv	AT marijonasbogdeviaius nonlineardynamicanalysisofrotatingpipeconveyingfluidbythefiniteelementmethod
_version_	1721340251548418048

Nonlinear dynamic analysis of rotating pipe conveying fluid by the finite element method

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