This paper aims to research the cable-lead-in rod effect on a towed system through mathematical
modeling and numerical simulations. The rod dynamics, as a key part of this study, is modeled using the combination
of cable node governing equations and kinematic constraint conditions. As the first attempt to analyze
such a problem, the rod is simply treated as an elastic cable segment so as to be incorporated into the dynamics
of the cable, and a set of algorithm is then proposed based on the kinematic constraint conditions to fully
describe its motions. Meanwhile, the cable and the underwater vehicle are modeled by the traditional lumped
mass method and the 6 degree-of-freedom maneuverability equations for submarines respectively; the coupling
boundary conditions besides the rod dynamics are also given to form the whole system’s model. Several numerical
cases are performed to investigate the rod effect on the system in different maneuver situations. Some meaningful
conclusions are drawn through comparative analysis.
WANG Fei (王飞), TU Weimin (涂卫民), DENG Deheng (邓德衡), WU Xiaofeng (吴小峰)
. Dynamic Effect Research of Cable-Lead-In Rod on Towed System[J]. Journal of Shanghai Jiaotong University(Science), 2019
, 24(6)
: 745
-753
.
DOI: 10.1007/s12204-019-2135-x
[1] CUI W C. An overview of submersible research anddevelopment in China [J]. Journal of Marine Scienceand Application, 2018, 17(4): 459-470.
[2] Research Introduction of Laboratory. TowSimuX——Dynamics and numerical simulation of underwatertowed systems-Hengex@gmail.com [EB/OL]. (2018-1-30) [2019-09-02]. http://202.120.42.116:6320/DT88888 (or http://oxgeneral.orgfree.com/towsimux).
[3] WANG L J. Current status and developing trend oflow frequency active towed sonar abroad [J]. Journalof Unmanned Undersea Systems, 2018, 26(3): 193-199(in Chinese).
[4] ABLOW C M, SCHECHTER S. Numerical simulationof undersea cable dynamics [J]. Ocean Engineering,1983, 10(6): 443-457.
[5] HUANG S. Dynamic analysis of three-dimensionalmarine cables [J]. Ocean Engineering, 1994, 21(6):587-605.
[6] EIDSVIK O A, SCHJ?LBERG I. Time domain modelingof ROV umbilical using beam equations [J]. IFACPapersOnLine,2016, 49(23): 452-457.
[7] WANG F, HUANG G L, DENG D H. Steady stateanalysis of towed marine cables [J]. Journal of ShanghaiJiaotong University (Science), 2008, 13(2): 239-244.
[8] YUAN Z J, JIN L A, CHI W, et al. The underwatertowed system behavior during ship turning maneuvers[J]. Journal of Marine Science and Technology, 2017, 25(4): 464-474.
[9] GONZ′ALEZ F, DE LA PRADA A, LUACES A, et al.Real-time simulation of cable pay-out and reel-in withtowed fishing gears [J]. Ocean Engineering, 2017, 131:295-307.
[10] PARK J, KIM N. Dynamics modeling of a semisubmersibleautonomous underwater vehicle with atowfish towed by a cable [J]. International Journal ofNaval Architecture and Ocean Engineering, 2015, 7(2):409-425.
[11] WU J M, XU Y, TAO L B, et al. An integrated hydrodynamicsand control model of a tethered underwaterrobot [J]. China Ocean Engineering, 2018, 32(5): 557-569.
[12] YUAN Z J, JIN L A, CHI W, et al. Research on thecoupling model of underwater towed system [J]. Journalof Ship Mechanics, 2016, 20(10): 1252-1261 (inChinese).
[13] VU M T, CHOI H S, KANG J, et al. A study on hoveringmotion of the underwater vehicle with umbilicalcable [J]. Ocean Engineering, 2017, 135: 137-157.
[14] PANG S K, LIU J Y, WANG J, et al. Research onattitude state control of self-stabilizing secondarytowed vehicle of deep-sea towed system [J]. Ship Engineering,2018, 40(3): 62-67 (in Chinese).
[15] WANG F, HUANG G L. Semi-dynamic modeling andsimulation study of underwater faired system [J]. Journalof Shanghai Jiaotong University, 2012, 46(10):1658-1664 (in Chinese).
[16] GOMES S C P, ZANELA E B, PEREIRA A E L.Automatic generation of dynamic models of cables [J].Ocean Engineering, 2016, 121: 559-571.
[17] SRIVASTAVA V K. Analyzing parabolic profile pathfor underwater towed-cable [J]. Journal of Marine Scienceand Application, 2014, 13(2): 185-192.
