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Dynamic Modeling and Analysis of Towed LowTension Cable with Bending and Torsion Effect |
WANG Fei-1, MA Jian-Wen-2, HUANG Guo-Liang-1 |
(1. State Key Lab. of Ocean Engineering, Shanghai Jiaotong University, Shanghai 200030, China;2. Merchant Marine College, Shanghai Maritime University, Shanghai 200135, China) |
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Abstract A mathematical scheme was proposed and derived to study the dynamics of towed low tension cable with both bending and torsion moment. According to the principle of the classic lumped mass method, a 4DOF (three degrees of translational motion and one degree of rotate motion) mathematical model was formulated, which is employed to analyze the effect of bending and torsion moment on cable. When modeling, the methods were given to determine the three dimensional bending moment, torsion moment and shear force, while a new variable, zerotorsion moment angle, was introduced to eliminate the effect of cables translational motion on torsion moment and finally get the actual torsion moment, then taking the cables buoyancy, weight, drag and tension into consideration so as to result in the whole mathematical model. Three simulation cases were presented subsequently, the results show good agreement with actual dynamic characters of bending and torsion moments effect, which thus validates the proposed mathematical scheme; these results also turn out some valuable conclusions.
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Received: 22 August 2011
Published: 30 March 2012
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