船舶在波浪中的非线性横摇研究
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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。
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.
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。
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.
引文
[1]盛振邦,刘应中.船舶原理[M].上海交通大学出版社,2004：79-105.
[2]陈予恕.非线性振动[M].高等教育出版社,2002：75-93
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[9]欧阳茹荃,朱继懋.船舶横摇运动的非线性振动与混沌[J].水动力学研究与进展A辑,1999,(03)：334-340
[10]陶醉,张纬康.船舶横甩吸引域的数值研究[J].海军工程大学学报.200214(3)：59-63
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[15]丁勇,胡开业,邱敏芝,杨博.船舶非线性自由横摇运动的近似解析解[J].哈尔滨工程大学学报,2007,(01)：45-48
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[22]纪刚,张纬康.船舶横摇的安全池研究[[J].中国造船,2002,43(4)：25-31.
[23]伍晓榕,李远林.波浪中大幅横摇运动的安全池研究[A].第十六届全国水动力学研讨会文集[C],2002：426-427
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[32]孙尧,王晓玢,莫宏伟.船舶横纵摇耦合运动突变特性分析[J].哈尔滨工程大学学报,2009,30,(05)：527-530
[33]Wong L A, Chen J C. Nonlinear and chaotic behavior of structural system investigated by wav-elet transform techniques [J].International Journal of Non-Linear Mechanics,2001, 36(2):221-235
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[35]Ghanem R, Romeo F. A wavelet-based approach for model and parameter identification of no-nlinear systems [J].International Journal of Non-Linear Mechanics,2001,36(5):835-859.
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[37]Eissa M, EI-Bassiouny, Resonance of Non-Linear Systems Subjected to Multi-Parametrically Excited Structures [J]. Physical Scripta,2004, Volume 70, Number 2-3
[38]Sheinberg, R., Stambaugh, K., Eisele, A., and Leadbetter, R.2006 Estimating probability of capsize for operator guidance[C]. Proceedings, STAB 2006,1,17.
[39]Senjamovic I, Parunov J and Cipric G. Safety analysis of ship rolling in rough sea[J]. Chaos Solitons&Fractals,1997,8(4):659-680.
[40]Matusiak J. Parametric Roll Resonance of the Conical Buoy in Regular Waves[C]. Proceedings, STAB 2000.
[41]Bulian, G., and Francescutto, A.2006 On the effect of stochastic variations of restoring mo-ment in long-crested irregular longitudinal sea[J]. International Shipbuilding Progress, v 54, n4,2007:227-248,
[42]Silva S and Soares C. Time Domain Simulation of Parametrically Excited Roll in Head Seas[C]. Proceedings, STAB2000
[43]Neves M and Valerio L. Parametric Resonance in Waves of Arbitrary Heading[C]. STAB 2000
[44]Nechaev Y. and Zavyalova O. Criteria basis for estimation of capsizing danger in broaching extreme situation for irregular following waves, electronic edition only[C]. Proceedings, STAB2003:820-831
[45]Hashimoto H.,Umeda N. and Matsuda A. Broaching prediction with nonlinear heel-induced hydrodynamic forces taken into account[C], Proceedings, STAB2003:571-582.
[46]郜焕秋.22届ITTC大会以来船舶极端运动与倾覆预报专家委员会工作[J].中国造船工程学会,2002.
[47]李红霞,唐友刚,胡楠,郑宏宇.船舶横摇非线性阻尼系数识别[J].天津大学学报,2005,(12)：79-82
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[2]陈予恕.非线性振动[M].高等教育出版社,2002：75-93
[3]蔡烽,石爱国,万林.舰船摇荡运动的混沌动力学分析[A].第七届全国非线性动力学学术会议和第九届全国非线性振动学术会议论文集[C],2004：210-214
[4]林焰,纪卓尚.船舶在波浪中的横摇运动及其稳性[J].中国造船,1993,(03)：37-46
[5]张文斌,李晓.第八次船舶与海洋运载器稳性国际会议回顾[J].中外船舶科技,2005(04)：13-21
[6]陶尧森.船舶耐波性[M].上海交通大学出版社,1996：8-10
[7]朱航彬,余音,胡毓仁.用谐波小波变换法研究船舶横摇的非线性动力特性(英文)[J].船舶力学,2004,(06)：13-18
[8]余音,朱航彬,夏利娟,R. Ajit Shenoi.基于小波理论的舰船非线性横摇运动特性分析[J].上海交通大学学报,2005,(05)：682-685
[9]欧阳茹荃,朱继懋.船舶横摇运动的非线性振动与混沌[J].水动力学研究与进展A辑,1999,(03)：334-340
[10]陶醉,张纬康.船舶横甩吸引域的数值研究[J].海军工程大学学报.200214(3)：59-63
[11]唐友刚,郑宏宇,谷家扬,刘利琴.随机横浪中船舶倾覆过程模拟与安全域计算[J].中国造船,2005,(04)：86-91
[12]欧阳茹荃,朱继懋.船舶非线性横摇运动与混沌[J].中国造船,1999,(01)：21-28
[13]袁远,余音,金咸定.船舶在规则横浪中的奇异倾覆[J].上海交通大学学报,2003,(07)：995-998
[14]杨博.船舶非线性横摇的近似解析[D].哈尔滨工程大学,2005：2-4
[15]丁勇,胡开业,邱敏芝,杨博.船舶非线性自由横摇运动的近似解析解[J].哈尔滨工程大学学报,2007,(01)：45-48
[16]蒋志勇,王志东,姚震球,张文斌.基于动稳性衡准的舰船稳性预报研究[J].华东船舶工业学院学报(自然科学版),2002,(06)：6-10
[17]蔡烽,侯建军,万林,石爱国,杨宝璋.风浪联合作用下舰船完整稳性的三种评估方法[A].2002海洋船舶防台论文集[C],2002：68-74
[18]唐友刚,谷家扬,郑宏宇,李红霞.用Melnikov方法研究船舶在随机横浪中的倾覆[J].船舶力学,2004,(05)：27-33
[19]李红霞.船舶随机纵浪中非线性横摇及倾覆机理研究[D].天津大学,2005：1-3
[20]谷家扬.导致船舶倾覆的随机非线性横摇特性研究[D].天津大学,2005：2-5
[21]沈栋,黄祥鹿.随机波浪作用下的船舶倾覆[J].船舶力学,1999,(05)：7-13
[22]纪刚,张纬康.船舶横摇的安全池研究[[J].中国造船,2002,43(4)：25-31.
[23]伍晓榕,李远林.波浪中大幅横摇运动的安全池研究[A].第十六届全国水动力学研讨会文集[C],2002：426-427
[24]王冬姣,于玲.横向规则波作用下的船舶倾覆[J].船舶力学,2004,(02)：25-28
[25]付丽坤.纵向规则波中参数横摇的数值模拟[D].上海交通大学,2007：4-7
[26]范佘明.船舶在随浪中的运动与横甩预报.船舶[J],2001,(01)：38-42
[27]蔡烽,张永胜,周波,侯建军,石爱国,杨宝璋.风浪中舰船横浪及随浪稳性计算[J].航海技术,2004,(04)
[28]邱敏芝.船舶随浪稳性与航行安全性研究[D].哈尔滨工程大学,2008：1-2
[29]唐友刚,姜大宁.舰船横摇—纵摇耦合运动的亚谐共振分析[J],天津大学学报：自然科学与工程技术版,2003,(02)：183-186
[30]李远林,王冬姣.船舶大幅横摇运动[J].船舶力学,2004,(01)：26-34
[3l]袁远,邓爱民,宇雷.船舶在纵浪中的运动稳性分析[J].舰船工程研究.2004,(01)：28-30
[32]孙尧,王晓玢,莫宏伟.船舶横纵摇耦合运动突变特性分析[J].哈尔滨工程大学学报,2009,30,(05)：527-530
[33]Wong L A, Chen J C. Nonlinear and chaotic behavior of structural system investigated by wav-elet transform techniques [J].International Journal of Non-Linear Mechanics,2001, 36(2):221-235
[34]Gouttebroze S, Lardies. On using the wavelet transform in modal analysis [J].Mechanics Research Communications,2001,28(5):561-569.
[35]Ghanem R, Romeo F. A wavelet-based approach for model and parameter identification of no-nlinear systems [J].International Journal of Non-Linear Mechanics,2001,36(5):835-859.
[36]E.KREUZER and B.LAGEMANN, Cell Mappings for Multi-Degree-of-Freedom-Sys-tems-Parallel Computing in Nonlinear Dynamics[J], Chaos Solitions & Fractals,1996,Vol.7, No.10:1683-1691
[37]Eissa M, EI-Bassiouny, Resonance of Non-Linear Systems Subjected to Multi-Parametrically Excited Structures [J]. Physical Scripta,2004, Volume 70, Number 2-3
[38]Sheinberg, R., Stambaugh, K., Eisele, A., and Leadbetter, R.2006 Estimating probability of capsize for operator guidance[C]. Proceedings, STAB 2006,1,17.
[39]Senjamovic I, Parunov J and Cipric G. Safety analysis of ship rolling in rough sea[J]. Chaos Solitons&Fractals,1997,8(4):659-680.
[40]Matusiak J. Parametric Roll Resonance of the Conical Buoy in Regular Waves[C]. Proceedings, STAB 2000.
[41]Bulian, G., and Francescutto, A.2006 On the effect of stochastic variations of restoring mo-ment in long-crested irregular longitudinal sea[J]. International Shipbuilding Progress, v 54, n4,2007:227-248,
[42]Silva S and Soares C. Time Domain Simulation of Parametrically Excited Roll in Head Seas[C]. Proceedings, STAB2000
[43]Neves M and Valerio L. Parametric Resonance in Waves of Arbitrary Heading[C]. STAB 2000
[44]Nechaev Y. and Zavyalova O. Criteria basis for estimation of capsizing danger in broaching extreme situation for irregular following waves, electronic edition only[C]. Proceedings, STAB2003:820-831
[45]Hashimoto H.,Umeda N. and Matsuda A. Broaching prediction with nonlinear heel-induced hydrodynamic forces taken into account[C], Proceedings, STAB2003:571-582.
[46]郜焕秋.22届ITTC大会以来船舶极端运动与倾覆预报专家委员会工作[J].中国造船工程学会,2002.
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