Vibrational energy flow in elastic circular cylindrical shells

Pavić, Goran

doi:10.1016/0022-460x(90)90558-h

Cited by 48 publications

(14 citation statements)

References 4 publications

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“…With some manipulation, Love-based power transmission equations are obtained. Pavic has also derived expressions for structural intensity in a circular cylindrical shell [11], which can be reduced to equations applicable to a curved beam by assuming that there is no axial motion. With some rearrangement FluK gge-based power transmission equations are obtained.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…The total power transmission in the circumferential direction is given by equation (11). Equations (12) and (13) can be re-arranged by noting that the EI/R term in the extensional component, equation (12), is exactly cancelled by an equivalent expression in the bending moment component, equation (13), giving modi"ed power transmission expressions:…”

Section: Theorymentioning

confidence: 99%

“…A second set of expressions can be obtained by reduction of FluK gge's thin-shell equations [10]. Of the many di!erent shell theories these two were chosen: (i) because they are two of the most widely used sets of equations, and (ii) because expressions for vibrational power transmission in circular cylindrical shells [11] and arbitrary shaped shells [12] have already been published based upon FluK gge's and Love's equations respectively.…”

Section: Introductionmentioning

confidence: 99%

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Vibrational Power Transmission in Curved Beams

Walsh

White

2000

Journal of Sound and Vibration

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Section: Summary and Discussionmentioning

confidence: 99%

Section: Theorymentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Vibrational Power Transmission in Curved Beams

Walsh

White

2000

Journal of Sound and Vibration

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“…Pavic [4] gave the expression for the axial and the circumferential components of the unit energy #ow along the shell wall in terms of the characteristic shell's components of the motion. He analyzed the in#uence of the three di!erent terms contributing to the total energy #ow and pointed out that the three terms exhibit considerable variations in contributing the total energy #ow.…”

Section: Introductionmentioning

confidence: 99%

Vibrational Power Flow Input and Transmission in a Circular Cylindrical Shell Filled With Fluid

Zhang

2000

Journal of Sound and Vibration

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“…To resolve the equations (1) a power series development is used 12 . For any particular solution k r / k x the relationship between the radial displacement amplitude of the wall W and the fluid pressure amplitude P can then be obtained in the following way:…”

Section: Model Of a Free Thin-walled Fluid-filled Pipementioning

confidence: 99%

Dynamics of large-diameter water pipes in hydroelectric power plants

Pavić

Chevillotte²,

Héraud³

2017

J. Phys.: Conf. Ser.

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Abstract. An outline is made of physical behaviour of water -filled large pipes. The fluid-wall coupling, the key factor governing the pipe dynamics, is discussed in some detail. Different circumferential pipe modes and the associated cut-on frequencies are addressed from a theoretical as well as practical point of view. Major attention is paid to the breathing mode in view of its importance regarding main dynamic phenomena, such as water hammer. Selected measurement results done at EDF are presented to demonstrate how an external, non-intrusive sensor can detect pressure pulsations of the breathing mode in a pressure pipe. Differences in the pressure measurement using intrusive and non-intrusive sensors reveal the full complexity of large-diameter pipe dynamics. IntroductionThe effect of fluid-structure coupling (FSC) was known since more than a century ago 1 . Studies on transient pipe dynamics have already started at the turn of 20 th century 2 . Various models have been established so far to simulate effects of non-rigid pipe walls. Simplified formulae of sound speed subjected to pipe external mechanical conditions were published in papers 3 and books 4,5 . Further enhancement of pipe modelling was done by allowing the pipe to move via junction coupling which is not included in the classical pipe models 6 . A broad account of pipe dynamics under varying external boundary conditions aimed at diagnostics applications was recently presented in thesis work 7 . Based on thin-wall assumptions a comprehensive FSC model of a free fluid-filled cylindrical shell has been produced by Lin and Morgan 8 . It has been shown that the sound speed is not constant but changes with frequency. Using a frequency-dependent multi-mode model the excitation by a point source located in a free elastic cylindrical shell has been worked out 9 . Similar modelling has been extended to the propagation of pulsation and vibration energy along fluid-filled cylindrical shells 10 . This paper focuses at the dynamics of a large fluid-filled pipe which, free at the outer surface. The ultimate goal is to show how an external strain sensor can be employed to measure pressure pulsations using a pipe model which allows for pressure variation in axial, circumferential and radial directions.

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Vibrational energy flow in elastic circular cylindrical shells

Cited by 48 publications

References 4 publications

Vibrational Power Transmission in Curved Beams

Vibrational Power Transmission in Curved Beams

Vibrational Power Flow Input and Transmission in a Circular Cylindrical Shell Filled With Fluid

Dynamics of large-diameter water pipes in hydroelectric power plants

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