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TECHNICAL PAPERS

Nonlinear Vibrations of an Extensible Flexible Marine Riser Carrying a Pulsatile Flow

[+] Author and Article Information
T. Monprapussorn

Department of Civil Engineering, South-East Asia University, Bangkok 10160, Thailand

C. Athisakul

Department of Civil Engineering, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailand

S. Chucheepsakul1

Department of Civil Engineering, King Mongkut’s University of Technology Thonburi, Bangkok 10140, Thailandsomchai.chu@kmutt.ac.th

1

Corresponding author.

J. Appl. Mech 74(4), 754-769 (Nov 22, 2006) (16 pages) doi:10.1115/1.2711226 History: Received February 02, 2004; Revised November 22, 2006

The influence of transported fluid on static and dynamic behaviors of marine risers is investigated. The internal flow of the transported fluid could have a constant, a linear, or a wave velocity. The riser pipe may possibly experience the conditions of high extensibility, flexibility, and large displacements. Accordingly, the mathematical riser models should be governed by the large strain formulations of extensible flexible pipes transporting fluid. Nonlinear hydrodynamic dampings due to ocean wave–pipe interactions implicate the high degree of nonlinearity in the riser vibrations, for which numerical solutions are determined by the state–space–finite-element method. It is revealed that the impulsive acceleration of internal flow could seriously relocate the vibrational equilibrium positions of the riser pipe. The fluctuation of the pulsatile flow relatively introduces the expansion of amplitudes and the reduction of frequencies of the riser vibrations. The pulsatile frequencies of the internal flow in wave aspect could reform the oscillation behavior of the conveyor pipe.

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Copyright © 2007 by American Society of Mechanical Engineers
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Figures

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Figure 1

An extensible flexible marine riser carrying a pulsatile flow (a); and schematic of deformations (b)

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Figure 2

The effect of fluid transportation rate on natural frequencies and mode shapes of the vertical production risers

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Figure 3

The effect of the mean flow velocity of transported fluid V̂io on (a); (b) phase spaces; (c) phase planes; (d) time histories of the dynamic normal displacement un of the flexible riser at yo=150m for âio=0, V̂ia=0.0406, and ω̂i=1.25

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Figure 4

The effect of the mean flow velocity of transported fluid V̂io on envelopes of: (a) the dynamic normal displacement un; (b) the dynamic tangential displacement vn; (c) the axial force T; and (d) the bending moment M for âio=0, V̂ia=0.0406, ω̂i=1.25

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Figure 5

The effect of the constant step acceleration of transported fluid âio on (a); (b) phase spaces; (c) phase planes; and (d) time histories of the dynamic normal displacement un of the flexible riser at yo=150m for V̂io=0, V̂ia=0.0406, ω̂i=1.25

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Figure 6

The effect of the constant step acceleration of transported fluid âio on envelopes of: (a) the dynamic normal displacement un; (b) the dynamic tangential displacement vn; (c) the axial force T; and (d) the bending moment M for V̂io=0, V̂ia=0.0406, and ω̂i=1.25

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Figure 7

The effect of the fluctuation amplitude of transported fluid V̂ia on: (a); (b) phase spaces; (c) phase planes; (d) time histories of the dynamic normal displacement un of the flexible riser at yo=150m for V̂io=0, âio=0, and ω̂i=1.25

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Figure 8

The effect of the fluctuation amplitude of transported fluid V̂ia on envelopes of: (a) the dynamic normal displacement un; (b) the dynamic tangential displacement vn; (c) the axial force T; and (d) the bending moment M for V̂io=0, âio=0, and ω̂i=1.25

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Figure 9

The effect of the pulsation frequency of transported fluid ω̂i on (a); (b) phase spaces; (c) phase planes; (d) time histories of the dynamic normal displacement un of the flexible riser at yo=150m for V̂io=0, âio=0, V̂ia=0.0406

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Figure 10

The effect of the pulsation frequency of transported fluid ω̂i on envelopes of: (a) the dynamic normal displacement un; (b) the dynamic tangential displacement vn; (c) the axial force T; and (d) the bending moment M for V̂io=0, âio=0, V̂ia=0.0406

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