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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Vilnius Gediminas Technical University
2003-10-01
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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 |