Abstract
A relatively simple and fast mathematical analysis method is proposed to determine the position and posture of underwater towing cable under steady-state. The lumped mass method is used to discretize the towing cable into a series of finite segment elements connected by nodes. Based on the static analysis of Morrison equation and finite segment of the towing cable, the analytical formulas of the steady-state control equation of the underwater towing cable are obtained and solved. The numerical simulations and experiments are carried out for verification. As the drag coefficients have a great influence on the accuracy of the results of the mathematical analysis and numerical simulation, the influences of normal drag coefficient and tangential drag coefficient on the calculation result are discussed. The normal drag coefficient is corrected through the experiment to further improve the accuracy of mathematical analysis and numerical simulation, which is significant for the depth control of underwater towing system.
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