A Finite Difference Approximation for Dynamic Calculation of Vertical Free Hanging Slender Risers in Re-Entry Application  

作　　者：王盛炜 徐雪松 姚宝恒 连琏 

机构地区：[1]School of Naval Architecture,Ocean and Civil Engineering,Shanghai Jiao Tong University

出　　处：《China Ocean Engineering》2012年第4期637-652,共16页中国海洋工程（英文版）

基　　金：supported and sponsored jointly by the National Natural Science Foundation of China(Grand Nos.51009092 and 50909061);Doctoral Foundation of the Ministry of Education of China(Grand No.20090073120013);the National High Technology Research and Development Program of China(863Program,Grand No.2008AA092301-1)

摘　　要：The dynamic calculations of slender marine risers, such as Finite Element Method （FEM） or Modal Expansion Solution Method （MESM）, are mainly for the slender structures with their both ends hinged to the surface and bottom. However, for the re-entry operation, risers held by vessels are in vertical free hanging state, so the displacement and velocity of lower joint would not be zero. For the model of free hanging flexible marine risers, the paper proposed a Finite Difference Approximation （FDA） method for its dynamic calculation. The riser is divided into a reasonable number of rigid discrete segments. And the dynamic model is established based on simple Euler-Bemoulli Beam Theory concerning tension, shear forces and bending moments at each node along the cylindrical structures, which is extendible for different boundary conditions. The governing equations with specific boundary conditions for riser＇s free hanging state are simplified by Keller-box method and solved with Newton iteration algorithm for a stable dynamic solution. The calculation starts when the riser is vertical and still in calm water, and its behavior is obtained along time responding to the lateral forward motion at the top. The dynamic behavior in response to the lateral parametric excitation at the top is also proposed and discussed in this paper.The dynamic calculations of slender marine risers, such as Finite Element Method （FEM） or Modal Expansion Solution Method （MESM）, are mainly for the slender structures with their both ends hinged to the surface and bottom. However, for the re-entry operation, risers held by vessels are in vertical free hanging state, so the displacement and velocity of lower joint would not be zero. For the model of free hanging flexible marine risers, the paper proposed a Finite Difference Approximation （FDA） method for its dynamic calculation. The riser is divided into a reasonable number of rigid discrete segments. And the dynamic model is established based on simple Euler-Bemoulli Beam Theory concerning tension, shear forces and bending moments at each node along the cylindrical structures, which is extendible for different boundary conditions. The governing equations with specific boundary conditions for riser＇s free hanging state are simplified by Keller-box method and solved with Newton iteration algorithm for a stable dynamic solution. The calculation starts when the riser is vertical and still in calm water, and its behavior is obtained along time responding to the lateral forward motion at the top. The dynamic behavior in response to the lateral parametric excitation at the top is also proposed and discussed in this paper.

关 键 词：finite difference approximation free hanging slender risers Keller-box method Newton iteration re-entryapplication 

分 类 号：P751[交通运输工程—港口、海岸及近海工程]