A finite element cable model and its applications based on the cubic spline curve |
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| Authors: | Zi-fan Fang Qing-song He Bing-fei Xiang Hua-pan Xiao Kong-de He Yi-xian Du |
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| Institution: | 1. College of Mechanical & Material Engineering, China Three Gorges University, Yichang, 443002, China
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| Abstract: | For accurate prediction of the deformation of cable in the towed system, a new finite element model is presented that provides a representation of both the bending and torsional effects. In this paper, the cubic spline interpolation function is applied as the trial solution. By using a weighted residual approach, the discretized motion equations for the new finite element model are developed. The model is calculated with the computation program complier by Matlab. Several numerical examples are presented to illustrate the numerical schemes. The results of numerical simulation are stable and valid, and consistent with the mechanical properties of the cable. The model can be applied to kinematics analysis and the design of ocean cable, such as mooring lines, towing, and ROV umbilical cables. |
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| Keywords: | tension stiffness bending stiffness torsion stiffness cubic spline curve Galerkin criterion finite element model |
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