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Nonlinear vibrations of offshore floating structures moored by cables

机译：电缆系泊的海上漂浮结构的非线性振动

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摘要

In this study, a numerical model is presented for the nonlinear vibrational analysis in the symmetrical plane of the rectangular offshore floating structures moored by cables. The upper end of each mooring cable is connected to the floating structure and the other end is fixed to the sea bed. The nonlinear equations of motions of the mooring cables are derived by using nonlinear cable elements that are formulated based on the extended Hamilton principle. The floating platform is modeled as a rigid body with three degrees of freedom. The forces applied on the floating structure and cables are analyzed, formulated and expressed in details. The connection conditions between the floating structure and mooring cables are introduced to formulate the equations of motions of the system as a whole. The vibrations of the floating structure under horizontal sinusoidal excitation are analyzed numerically. The influence of different sag-to-span ratios or inclined angles of the mooring cables, and that of different current velocities on the displacements of the floating structure and maximum tensile force in the cables are studied. The displacement amplitudes of the moored floating structure and maximum cable tensile force under different current velocities are also studied for different excitation frequencies.
机译：在这项研究中，提出了一个数值模型，用于在缆绳系泊的矩形海上漂浮结构的对称平面内进行非线性振动分析。每条系泊电缆的上端连接到浮动结构，另一端固定到海床。通过使用基于扩展汉密尔顿原理的非线性缆索单元，推导了系泊缆索的非线性运动方程。浮动平台被建模为具有三个自由度的刚体。分析，制定和详细表达了施加在浮动结构和电缆上的力。介绍了浮动结构与系泊缆索之间的连接条件，以公式化整个系统的运动方程。数值分析了水平正弦激励下浮体结构的振动。研究了不同的垂跨比或系泊索的倾斜角度以及不同的流速对系泊结构的位移和缆索的最大拉力的影响。对于不同的激励频率，还研究了在不同电流速度下的系泊浮式结构的位移幅度和最大电缆拉力。

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