Nonlinear Dynamics of Compliant Offshore Structures

Bar-Avi, P.; Benaroya, Haym; Zhang, Ruichong

doi:10.1115/1.2829522

Cited by 1 publication

(3 citation statements)

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“…These dummy nodes introduce certain constraints for the nodes at either end of the tower. The error of this approximation is of the order O½h 2 , where h is the spacing between nodes, Referring to [2], the central difference operators are: ðA:2Þ…”

Section: Discussionmentioning

confidence: 99%

“…For this system, the kinetic energy will consist of two components, one due to the rectilinear velocity of the tower, and the other caused by the tower angular velocity. Using a method like that in [2], we find the rectilinear kinetic energy to be…”

Section: Kinetic Energymentioning

confidence: 99%

“…where w w and u w are the wave velocities in the x and y directions, respectively. These velocities can be expressed as [2]:…”

Section: Total Energies and Equations Of Motionmentioning

confidence: 99%

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A parametric study of a flexible ocean tower

Kuchnicki

Benaroya

2000

41st Structures, Structural Dynamics, and Materials Conference and Exhibit

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Offshore compliant structures are a valuable and attractive option for conditions involving operation in deep water because of their reduced structural weight. One class of offshore compliant structure is the articulated tower, which does not use guylines or tethers to provide a restoring force; rather, the articulated tower relies on a large buoyancy moment to maintain its orientation. This paper examines a continuous, elastic model of an articulated tower undergoing planar motion. Forces due to gravity, buoyancy, and waves are considered, and the nonlinear governing equations of motion derived using Hamilton's Principle. These equations of motion are discretized using the finite difference method, and solved numerically. A proposed simplification of the derived elastic equations is presented, and the simplified model is shown to provide a good upper bound on the motion and a good picture of the qualitative behavior. A parameter study on the tower system is performed, demonstrating the stability of the tower system in the presence of different environmental loads and under different tower configurations. Ó

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Section: Discussionmentioning

confidence: 99%

Section: Kinetic Energymentioning

confidence: 99%