Numerical Investigation of the Dynamics for Low Tension Marine Cables

doi:10.1007/s12204-014-1559-6

摘要/Abstract

摘要： This paper presents a numerical investigation into the dynamics of marine cables which are extensively used in offshore industry. In this numerical study, the Euler-Bernoulli beam model is adopted to develop the governing equations of the cable. Bending stiffness is considered to cope with the low tension problem in local area of towing cable, and thus a more accurate solution with the consideration of the axial elongation can be given. The derived strongly-coupled and nonlinear governing equations are solved by a second-order accurate, implicit, and large time step stable central finite difference method. The quadratically convergent Newton-Raphson iteration method is applied to solving the discrete nonlinear algebraic equations. Then a towed array sonar system (TASS) problem is studied. The numerical solutions agree reasonably well with the experimental data and the simulated results of the references. The specified program of the present paper shows great robustness with high efficiency.

关键词: marine cable, Euler-Bernoulli beam, high tension, low tension, finite difference method, dynamics

Abstract: This paper presents a numerical investigation into the dynamics of marine cables which are extensively used in offshore industry. In this numerical study, the Euler-Bernoulli beam model is adopted to develop the governing equations of the cable. Bending stiffness is considered to cope with the low tension problem in local area of towing cable, and thus a more accurate solution with the consideration of the axial elongation can be given. The derived strongly-coupled and nonlinear governing equations are solved by a second-order accurate, implicit, and large time step stable central finite difference method. The quadratically convergent Newton-Raphson iteration method is applied to solving the discrete nonlinear algebraic equations. Then a towed array sonar system (TASS) problem is studied. The numerical solutions agree reasonably well with the experimental data and the simulated results of the references. The specified program of the present paper shows great robustness with high efficiency.

Key words: marine cable, Euler-Bernoulli beam, high tension, low tension, finite difference method, dynamics

中图分类号:

TP 242

CHEN Bin1 (陈斌), SU Feng1 (苏锋), HUO Cun-feng2 (霍存锋), ZHANG Ru-bin1 (张汝彬),YAO Bao-. Numerical Investigation of the Dynamics for Low Tension Marine Cables[J]. 上海交通大学学报（英文版）, 2015, 20(3): 257-264.

CHEN Bin1 (陈斌), SU Feng1 (苏锋), HUO Cun-feng2 (霍存锋), ZHANG Ru-bin1 (张汝彬),YAO Bao-heng2* (姚宝恒), LIAN Lian2 (连琏). Numerical Investigation of the Dynamics for Low Tension Marine Cables[J]. Journal of shanghai Jiaotong University (Science), 2015, 20(3): 257-264.

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