Abstract
Three-dimensional motion equations with consideration of the bending and torsional effects of a marine towed cable system under large elastic deformation conditions are formulated using the lumped parameter model. The lumped mass model is used to simulate a circular maneuver of a towed horizontal array that was first presented by Ablow. The results of this paper are in a good agreement with those obtained by finite difference schemes, and the minimum depth is closer to the experimental result. Although the calculations take more computation time, the lumped mass model is a good method, which can also be used to solve problems of towed line array, especially multi-branched towed line array, because of its flexibility.
Similar content being viewed by others
References
GOBAT J. I., GROSENBAUGH M. A. Dynamics in the touch-down region of catenary moorings[J]. International Journal of Offshore and Polar Engineering, 2001, 11(4): 273–281.
GOBAT J. I., GROSENBAUGH M. A. and TRIANTAFYLLOU M. S. Generalized -α time integration solutions for hanging chain dynamics[J]. Journal of Engineering Mechanics, 2002, 128(6): 677–687.
GOBAT J. I., GROSENBAUGH M. A. Time-domain numerical simulation of cable structures[J]. Ocean Engineering, 2006, 33(10): 1373–1400.
ZHU Jun, PANG Yong-jie and XU Yu-ru. Numerical simulation of vibrating behaviors using towed cablearray[J]. The Ocean Enggineering, 2003, 21(2): 76–81 (in Chinese).
LIU Tao, ZHANG Wei-jing and MA Jie et al. Transient dynamic analysis of towed low-tension cable with experimental verification[J]. Journal of Ship Mechanics, 2013, 17(3): 197–213.
ZHU Ke-qiang, ZHEN Dao-chang and ZHOU Jianghua et al. Station-keeping dynamic response of a moored production barge with multi-point mooring system[J]. Navigation of China, 2007, (2): 6–9 (in Chinese).
CHAI Y. T., VARYANI K. S. and BARLTROP N. D. P. Three-dimensional lump-mass formulation of a catenart riser with bending, torsion and irregular seabed interaction effect[J]. Ocean Engineering, 2002, 29(12): 1503–1525.
ZHU Ke-qiang, ZHENG Dao-chang and CAI Ying et al. Nonline hydrodynamic rssponse of marine cablesystem undergoing random dynamic excitation[J]. Journal of Hydrodynamics, 2009, 21(6): 851–855.
WANG fei, HUANG Guo-liang and DENG De-heng. Dynamic response analysis of towed cable during deployment/retrieval[J]. Journal of Shangihai Jiaotong University (Science), 2008, 13(2): 245–251.
WANG Fei, MA Jian-wen and HUANG Guo-liang. Dynamic modeling and analysis of towed low tension cable with bending and torsion effect[J]. Journal of Shanghai Jiaotong University, 2012, 46(3): 451–457 (in Chinese).
ZHU Ke-qiang, ZHENG Dao-chang and ZHOU Jianghua et al. Dynamic analysis on ocean cables system with lumped parameter approach[J]. Navigation of China, 2007, (3): 10–12 (in Chinese).
ZHAO Yun-peng, LI Yu-cheng and GUI Fu-kun et al. Numerical simulation of the effects of weight system on the hydrodynamic behavior of 3-D net of gravity cage in current[J]. Journal of Hydrodynamics, Ser. B, 2007, 19(4): 442–452.
ZHU Ke-qiang. LI Dao-geng and LI Wei-yang. Lumped-parameter analysis method for time-domain of ocean cable-body systems[J]. The Ocean Engineering, 2002, 20(2): 100–102 (in Chinese).
ZHU Ke-qiang, ZHU Hai-yang and YU Chun-ling et al. A simulation of nonlinear coupling dynamic characteristic on a deep-sea tethered remotely operated vehicle multi-body system[J]. The Ocean Engineering, 2008, 26(1): 83–87 (in Chinese).
ZHU Ke-qiang, ZHU Hai-yang and ZHANG Yu-song et al. A multi-body space coupled motion simulation of hydrodynamics on a deep-sea tethered remotrly operated vehicle[J]. Journal of Hydrodynamics, 2008, 20(2): 210–215.
Author information
Authors and Affiliations
Corresponding author
Additional information
Project supported by the Science Program of Ningbo City (Grant No. szxl1066) the Program for Changjiang Scholars and Innovative Research Programs in Higher Learning Institutions (Grant No. IRT0734) and the National Natural Science Foundation of China (Grant Nos. 11272060 and 10872098).
Biography: YANG Bing-ka (1987-), Male, Ph. D. Candidate
Rights and permissions
About this article
Cite this article
Yang, Bk., Zhu, Kq., Zhu, Yj. et al. Dynamic response of towed line array. J Hydrodyn 25, 616–619 (2013). https://doi.org/10.1016/S1001-6058(11)60403-5
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1016/S1001-6058(11)60403-5