【作者】 欧珊；

【导师】 毛筱菲；

【作者基本信息】 武汉理工大学 ， 船舶与海洋结构物设计制造， 2010， 硕士

【摘要】 船舶在波浪中的非线性横摇是造成船舶倾覆的一个重要原因。本论文应用非线性动力学的方法对这种现象进行理论研究,并结合两个算例说明理论方法的可行性。全文共分5章：第1章,综述了船舶稳性的研究现状,讨论非线性横摇的研究方法。第2章,简要介绍非线性动力学的方法,重点理解并掌握其中的多尺度法理论的思想及其求解步骤。第3章,本章先对已有的横摇数学模型进行介绍,再详述本文数学模型的选取以及水动力系数的求解问题。第4章,经繁复推导得出了非线性横摇运动方程的二阶近似解析解,并将其程序实现后应用于某渔船上。第5章,该章主要是将模型试验及wasim软件理论预报的结果用于探究本论文理论计算的可行性。本文用非线性动力学的方法计算得到主共振情况下船舶运动稳态响应的解析解,通过不同波浪条件下船舶非线性横摇运动的模拟计算,预报船舶在横浪中的横摇运动,并揭示了船舶运动的某些非线性特征。预报结果与试验结果及wasim结果比较一致,表明文中用多尺度法求解获得的非线性近似解析解是有效的。更多还原

【Abstract】 The nonlinear rolling of ship in waves is one of the important reasons for the ships capsizing. Focused on this phenomenon, the nonlinear dynamics method is used on the theoretical study of ship stability in this paper, and its application on one fishing boat was tried out. The article is divided into five chapters.The first chapter, summarizes the research situation of the ship’s stability, and discusses the research method of nonlinear rolling. The second chapter briefly introduces the method of nonlinear dynamics and describes the main ideas of multiple scales method and solving steps in detail. Chapter 3 shows the mathematical model firstly, and then gives the mathematical model of this paper. More details on hydrodynamic coefficients and solving problems. Via complicated derivation, the fourth chapter obtains the approximate analytical solution of nonlinear roll equation on beam waves. After computer realization, the program is applied on one fishing boat. Chapter 5, through the analysis on model test and theoretical forecasting results from WASIM discuss the feasibility of theory calculation in this thesis.In conclusion, using nonlinear dynamic method, this thesis studies the nonlinear roll motion equation and observed the resonance steady-state responses of analytical solution; forecast the roll movements of ship in beam waves through the simulation calculations on different wave conditions of ship’s nonlinear rolling motion. Furthermore, the results are compared with experimental and the WASIM results aiming to verify the feasibility of theory calculation in this thesis and reveal some nonlinear characteristics on ship’s rolling motion.更多还原