水下拖索和锚索系统三维数学建模及应用

【作者】 刘乐华；

【导师】 张宇文；

【作者基本信息】 西北工业大学 ， 兵器发射理论与技术， 2001， 硕士

【摘要】 水下拖曳系统和锚索系统广泛应用于海底地貌观察、底层水文资料收集、猎潜、扫雷、水雷等方面。目前对水下拖索的研究只限于平面内的拖曳问题，而对锚索的研究国内还不多，相关资料也不多见。 文中在分析研究水下拖曳与锚索系统运动学与动力学的基础上，建立了水下拖索空间形状和张力的三维数学模型以及海流作用下锚索空间形状和张力的三维数学模型，并给出了水下拖索系统和锚索系统在脉冲海流作用下稳定性的分析方法。 把建立的水下拖索数学模型和锚索数学模型分别应用于航空吊放声纳探头—缆绳动力学系统和船—锚系统，采用Matlab语言编程进行了数值计算，同时分别计算和分析了反潜直升机拖速、距海面高度对拖索形状和张力的影响以及海流速度、锚索直径对锚索形状和张力的影响。通过验证数值计算结果和实验结果相当一致。表明所建数学模型的正确性和具有的工程应用价值。更多还原

【Abstract】 The underwater dragging system and the anchor cable system are widely used in all kinds of field, such as observing geography at the bottom of sea, the basic hydrology data collections, hunting submarines, sweeping the torpedo and torpedo etc.. Now the research on the underwater cable is limited in 2D model. And the research on the anchor cable is very seldom in china. The related information on that is very seldom.On the foundation analyzing and studying the kinetics and dynamics of underwater dragging system and anchor cable system, this paper sets up the three dimension mathematic model about spatial shape and tension of the underwater cable and about spatial shape and tension of the anchor cable in the ocean current. This paper presents the analysis method about the stability when the underwater dragging system or the anchor cable system is in the pulse current.The based mathematics model about the underwater cable is used for the dome-cable dynamic system of dipping sonar. Another based mathematics model about the anchor cable is used for ship-anchor system. The numerical calculation have been worked by programmed in the Matlab language. At the same time the influence that the dragging speed of antisubmarine helicopter and the height over the surface of ocean acts on the shape and the tension of underwater cable, and that the current velocity and the diameter of anchor cable acts on the shape and the tension of anchor cable, has been calculated. Because the result of numerical calculation is same with experiment according to compare, the based mathematics model is correct and is provided with the engineering value.更多还原