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W. Kim, N. Perkins (2002)
TWO-DIMENSIONAL VORTEX-INDUCED VIBRATION OF CABLE SUSPENSIONSJournal of Fluids and Structures, 16
A. Banerjee, S. Nagarajan (1997)
Efficient Simulation of Large Overall Motion of Beams Undergoing Large DeflectionMultibody System Dynamics, 1
C. Larsen (1992)
Flexible riser analysis — comparison of results from computer programsMarine Structures, 5
K. Bisshopp, D. Drucker (1945)
Large deflection of cantilever beamsQuarterly of Applied Mathematics, 3
H.M. Irvine (1981)
Cable Structures
A. Banerjee (1993)
Dynamics and control of the WISP Shuttle-antennae system, 41
S. Chakrabarti (1987)
Hydrodynamics of Offshore Structures
F.M. White (1999)
Fluid Mechanics
Thomas Judson, Stephen Austin (2020)
Sampling: Theory and ApplicationsApplied and Numerical Harmonic Analysis
R.L. Huston (1990)
Multibody Dynamics
R. Blevins, R. Scanlan (1977)
Flow-Induced Vibration
T.R. Kane, D.A Levinson (1985)
Dynamics: Theory and Applications
The equations of the three dimensional motion of a marine riser undergoinglarge elastic deformations are formulated using Kane's formalism. The riseris modeled using lumped masses connected by extensional and rotationalsprings including structural damping. Surface waves are described by Stokes'second-order wave theory. Fluid-structure coupling is achieved byapplication of the hydrodynamic loads via Morison's equation and added-masscoefficients using the instantaneous relative velocities and accelerationsbetween the fluid field and the riser segments. In the same way, a model forincorporating the effects of vortex-induced lift forces is included. Theeffect of internal flow is included in the model. The detailed algorithm ispresented and the equations are solved using a robust implementation of theRunge–Kutta method provided in MATLAB. The mathematical model and associatedalgorithm are validated by comparing the steady-state equilibriumconfiguration of the riser with special cases of an elastic catenary mooringline and large deflection statics of a cantilever beam. The results ofsample simulations are presented.
Multibody System Dynamics – Springer Journals
Published: Oct 18, 2004
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