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Dynamic Effect Research of cable-Lead-In Rod on towed System

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Journal of Shanghai Jiaotong university(Science) 2019年第6期24卷 745-753页

作者： WANG Fei TU Weimin DENG Deheng WU Xiaofeng State Key Laboratoryof Ocean Engineering Shanghai Jiao Tong UniversityShanghai 200240China Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration Shanghai Jiao Tong UniversityShanghai 200240China Wuhan Second Ship Design and Research Institute Wuhan 430064China China Ship Scienti¯c Research Center Wuxi 214082JiangsuChina

This paper aims to research the cable-lead-in rod effect on a towed system through mathematical modeling and numerical *** rod dynamics,as a key part of this study,is modeled using the combination of cable node governing equations and kinematic constraint *** 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 ***,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 *** numerical cases are performed to investigate the rod effect on the system in different maneuver *** meaningful conclusions are drawn through comparative analysis.

关键词： towed system towed cable cable-lead-in rod kinematic constraint condition

Dynamic simulation of aerial towed decoy system based on tension recurrence algorithm

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Chinese Journal of Aeronautics 2016年第6期29卷 1484-1495页

作者： Ma Dongli Wang Shaoqi Yang Muqing Dong Yongpan School of Aeronautic Science and Engineering Beihang University

Dynamic model of aerial towed decoy system is established and simulations are performed to research the dynamic characteristics of the system. Firstly, Kinetic equations based on spinor are built, where the cable is discretized into a number of rigid segments while the decoy is modeled as a rigid body hinged on the cable. Then tension recurrence algorithm is developed to improve computational efficiency, which makes it possible to predict the dynamic response of aerial towed decoy system rapidly and accurately. Subsequently, the efficiency and validity of this algorithm are verified by comparison with Kane’s function and further validated by wind tunnel *** results indicate that the distance between the towing point and the decoy’s center of gravity is suggested to be 5%–20% of the length of decoy body to ensure the stability of *** up-risen maneuver process, the value of angular velocity is recommended to be less than0.10 rad/s to protect the cable from the aircraft exhaust jet. During the turning movement of aircraft, the cable’s extent of stretching outwards is proportional to the aircraft’s angular ***, the decoy, aircraft and missile form a triangle, which promotes the decoy’s performance.

关键词： Numerical simulation Spinor Tension recurrence algorithm towed cable towed decoy

A Study on Dynamic Response of cable-Seabed Interaction

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Journal of Shanghai Jiaotong university(Science) 2009年第4期14卷 443-449页

作者：王飞黄国樑邓德衡涂兴华 Merchant Marine College Shanghai Maritime University State Key Laboratory of Ocean Engineering Shanghai Jiaotong University

A numerical method is developed to investigate the dynamic response of cable-seabed interaction in this paper. The motion of cable is described by the Lumped Parameter Method, while the seabed, unlike the prevailing simplified model of elastic foundation, is modeled as an irregular continuous rigid surface with rebound and friction existing, and the forces exerted by the seabed consist of normal counterforce and isotropic tangential Coulomb friction resistance. To describe the detailed dynamic response, two coefficients are introduced by analogy with the theory of rigid body collision with friction. The cable-seabed kinematic and dynamic contact conditions are formulated subsequently, and are used to incorporate the seabed effect into the cable dynamics to produce a set of ordinary differential governing equations. In this paper, we employ 4th order Runge-Kutta method to solve these equations. Several simulation cases are presented to illustrate the seabed effect. The results show that friction and impact have a prominent influence on the statics and dynamics of the cable.

关键词： towed cable numerical simulation seabed interaction impact with friction

Steady State Analysis of towed Marine cables

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Journal of Shanghai Jiaotong university(Science) 2008年第2期13卷 239-244页

作者：王飞黄国樑邓德衡 State Key Laboratory of Ocean Engineering Shanghai Jiaotong University Merchant Marine College Shanghai Maritime UniversityShanghai 200135China

Efficient numerical schemes were presented for the steady state solutions of towed marine cables. For most of towed systems,the steady state problem can be resolved into two-point boundary-value problem,or initial value problem in some special cases where the initial values are available directly.A new technique was proposed and attempted to solve the two-point boundary-value problem rather than the conventional shooting method due to its algorithm complexity and low ***,the boundary conditions are transformed into a set of nonlinear governing equations about the initial values,then bisection method is employed to solve these nonlinear equations with the aid of 4th order Runge-Kutta *** common sense,non-uniform (sheared) current is assumed,which varies in magnitude and direction with *** schemes are validated through the DE Zoysa's example,then several numerical examples are also presented to illustrate the numerical schemes.

关键词： towed cable nested bisection method Runge-Kutta method non-uniform current numerical simulation