Recursive thoughts on the simulation of the flexible multibody dynamics of slender offshore structures

[摘要] In this work, the floating frame of reference formulation is used to create a flexible multibody model of slender offshore structures such as pipelines and risers. It is shown that due to the chain-like topology of the considered structures, the equation of motion can be expressed in terms of absolute interface coordinates. In the presented form, kinematic constraint equations are satisfied explicitly and the Lagrange multipliers are eliminated from the equations. Hence, the structures can be conveniently coupled to finite element or multibody models of for example seabed and vessel. The chain-like topology enables the efficient use of recursive solution procedures for both transient dynamic analysis and equilibrium analysis. For this, the transfer matrix method is used. In order to improve the convergence of the equilibrium analysis, the analytical solution of an ideal catenary is used as an initial configuration, reducing the number of required iterations.

[发布机构] Faculty of Engineering Technology, University of Twente, P.O. Box 217, Enschede; 7500AE, Netherlands^1

[学科分类] 计算机科学（综合）

[关键词] Equation of motion;Equilibrium analysis;Flexible multi bodies;Flexible multi-body dynamics;Initial configuration;Kinematic constraints;Recursive solutions;Transient dynamic analysis