2010
DOI: 10.1016/j.oceaneng.2009.12.009
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A nonlinear PDE formulation for offshore vessel pipeline installation

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Cited by 56 publications
(29 citation statements)
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“…Meanwhile, the generalised force will be added in the motion equations for ith element: The circular unit section which is dξ in length is affected by the hydrodynamic resistance force [21] ( Fig. 6):…”
Section: Buoyancy Forcementioning
confidence: 99%
“…Meanwhile, the generalised force will be added in the motion equations for ith element: The circular unit section which is dξ in length is affected by the hydrodynamic resistance force [21] ( Fig. 6):…”
Section: Buoyancy Forcementioning
confidence: 99%
“…It is only in effect when the payload position x is below the seabed level. This gives F sb = k sb  x þ c sb  _ x, where spring coefficient is k sb ¼ 10 Remark 1 It is worth noting that there has been a significant attention to develop time-domain models for simulation and control system design based on data obtained from seakeeping programs such as VERES [20] and WAMIT [21]. These programs are used to compute the potential coefficients for a vibratory spring-damper model and the existing wave loads (Froude-Krylov and diffraction forces) for a given vessel design (see for instance [22][23][24] and the references therein).…”
Section: Combined Payloadmentioning
confidence: 99%
“…In the sequel we will consider q 2 H as a vector q ¼ ðq 0 ; q 1 ; q 2 ; q 3 Þ T 2 R 4 . The multiplication rule (13) can then be expressed by means of a matrix-vector product in R 4 . Namely,…”
Section: Quaternionsmentioning
confidence: 99%
“…In the recent paper [13] this model is employed for modeling pipe-lay offshore operations and the rod equations are coupled to a controlled rigid body (representing the vessel conducting the pipe-lay operations). In the same paper the configuration manifold is described using Euler angles and the choice of appropriate conventions (coordinate charts) is very important for the performance of the method.…”
Section: Introductionmentioning
confidence: 99%