2011
DOI: 10.1007/s00419-011-0545-9
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Vibration and enhanced stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end

Abstract: In this paper, the vibration and stability properties of fluid-conveying pipes with two symmetric elbows fitted at downstream end are investigated. The fluid, after entering from the upstream end, is pushed downwards and eventually exits from the downstream end fitted with two symmetric elbows. The equation of motion is solved by means of Galerkin's method with a four-mode approximation. Calculations are conducted for cantilevered and also for pinned-pinned slender pipes. It is found that the stability of the … Show more

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Cited by 27 publications
(11 citation statements)
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“…By considering a Winkler-type elastic foundation, Marzani et al 13 revealed that the elastic foundation can result in an increase of critical°ow speed with increasing sti®ness of the Winkler coe±cient. Recently, the vibration and stability properties of°uid-conveying cantilevers with two symmetric elbows were studied by Wang and Dai,14 who found that the vibration frequency of the system can be comfortably controlled due to the selectable angle of inclination of downstream elbows. Firouz-Abadia et al 15 further investigated the stability of a horizontal cantilevered pipe with an inclined terminal nozzle by considering the coupled bend-torsional vibrations.…”
Section: Introductionmentioning
confidence: 99%
“…By considering a Winkler-type elastic foundation, Marzani et al 13 revealed that the elastic foundation can result in an increase of critical°ow speed with increasing sti®ness of the Winkler coe±cient. Recently, the vibration and stability properties of°uid-conveying cantilevers with two symmetric elbows were studied by Wang and Dai,14 who found that the vibration frequency of the system can be comfortably controlled due to the selectable angle of inclination of downstream elbows. Firouz-Abadia et al 15 further investigated the stability of a horizontal cantilevered pipe with an inclined terminal nozzle by considering the coupled bend-torsional vibrations.…”
Section: Introductionmentioning
confidence: 99%
“…As the main structure for oil and gas transportation, fluid-conveying pipes are widely used in aerospace engineering, marine engineering, water conservancy systems, oil and gas transportation systems, and the petroleum energy/chemical/nuclear industries [1][2][3][4][5]. The structure of pipes employed in engineering nuclear power plants are inevitably impacted by nuclear and fuel explosions [6].…”
Section: Introductionmentioning
confidence: 99%
“…Since active control methods for cantilevered pipes conveying fluid are always restricted by the reliability and service life of the controller, passive control methods [18][19][20][21][22] have attracted more attentions. For instance, Wang et al [23] derived the governing equations of a pipe conveying fluid on elastic foundation and showed that an elastic foundation can increase the critical flow velocity for statical and dynamical instabilities of the pipe.…”
Section: Introductionmentioning
confidence: 99%