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Three-Dimensional Dynamics of a Flexible Marine Riser Undergoing Large Elastic Deformations

Three-Dimensional Dynamics of a Flexible Marine Riser Undergoing Large Elastic Deformations 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Multibody System Dynamics Springer Journals

Three-Dimensional Dynamics of a Flexible Marine Riser Undergoing Large Elastic Deformations

Multibody System Dynamics , Volume 10 (4) – Oct 18, 2004

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References (12)

Publisher
Springer Journals
Copyright
Copyright © 2003 by Kluwer Academic Publishers
Subject
Engineering; Vibration, Dynamical Systems, Control; Optimization; Electrical Engineering; Mechanical Engineering; Automotive Engineering
ISSN
1384-5640
eISSN
1573-272X
DOI
10.1023/A:1026213630987
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Multibody System DynamicsSpringer Journals

Published: Oct 18, 2004

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