Vibrations
 

Preface Introduction
Mass, Acceleration and Force
Gravitational Forces
Continua
Mechanical Vibrations & their Characteristic Modes
Friction
Vibration of Drill Rigs
Vortex-Induced Vibrations
Feedback
Stable & Unstable Motion induced by Forced Vibrations
Aerodynamics
Human-induced Vibrations
Electromagnetism
Probability Waves & Quantum Mechanics 

 

Vortex Induced Vibrations

  Off-shore oil and gas drilling and production face hazards caused by exposure of submerged rig components to underwater currents. Critical among these components are the marine risers, consisting of a series of steel pipes linking the surface platform to the sea bed. During drilling, a marine riser contains the drill-string and carries the mud (lubricant) and debris from the rock face, while during production it carries the oil or gas. The integrity of the marine riser under a variety of conditions is crucial to the entire operation. However, our current ability to predict stress levels and fatigue rates in marine risers is inadequate, resulting in design criteria that rely on anecdotal evidence and simplified models. This is especially true for sheared flows, where the local fluid velocity of the ocean current varies with depth. Pressure on development costs and increasingly hostile field environments, including water depths over 1000m, demand more refined design strategies.
The behaviour of a segmented elastic cylinder (such as a marine riser) in the presence of fluid flow is a classical problem in hydrodynamics. In certain conditions vortices develop which are shed alternately from either side of the cylinder. The resultant lift and drag forces excite forced oscillations of the cylinder known as vortex-induced vibration. This is a complex interaction, dependent on both flow parameters and mechanical properties of the cylinder. When the vortex-induced vibration frequency nears one of the natural (normal mode) frequencies of the structure, a resonance phenomenon known as lock-in takes place, enhancing the vibration amplitude (and hence its destructive potential).