摘要
采用柱坐标系建立舰船水下拖曳缆索回转构形问题的数学模型,推导得到表征拖缆在回转拖曳过程中形状及张力的拖缆运动方程组.使用Matlab编制计算程序,采用四阶Runge-Kutta法对拖缆运动方程组进行数值积分,并对拖缆空间构形进行仿真.计算分析了舰船不同参数变化下,拖缆首尾端点回转半径及拖缆尾端深度值的变化规律.数值计算结果表明,舰船拖曳回转半径、拖曳缆索缆长、舰船拖曳速度对拖缆空间回转构形有显著影响.
A mathematical model in cylindrical coordinate is presented for investigating the shape and structure configuration of underwater towed cable for ship turning maneuvers. A new motion equation for towed cable in cylindrical coordinate is derived. The space configuration of towed cable is obtained using the numerical integration of motion equations which are solved with Matlab program and fourth-order Runge-Kutta method. The relationship between radii of the head and the end of towed cable and the depth change of cable end are computed and analyzed by varying the influencing parameters. The numerical results indicate that the proposed configuration is influenced obviously by ship-turning radius, cable length and tow speed of ship.
出处
《宁波大学学报（理工版）》
CAS
2015年第3期122-126,共5页
Journal of Ningbo University：Natural Science and Engineering Edition
基金
国家自然科学基金(11272160)
国家自然科学基金青年项目(51309133)
浙江省自然科学基金(LY13A020006)
宁波大学研究生科研创新基金(G13069)
关键词
拖曳缆索
定常回转
稳态响应
数值积分
towed cable
steady turning
steady-state response
numerical integration
