船舶操纵运动仿真平台开发及应用
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摘要
船舶操纵性是船舶重要航行性能之一,与船舶航行的安全性和经济性密切相关。随着航道通航能力的不断提高,通航船舶密度及数量将大大增加,并向着大型化、高速化方向发展,势必给航道或通航建筑物等的通航条件提出了更高的要求。加之航运环境的复杂多变,驾驶人员素质差异较大,致使船舶操纵日趋困难,航运安全问题己经受到了广泛的关注。为确保航道、船舶及工程的安全,船舶操纵性的研究日益显示其重要性。
本论文从水动力学观点出发,基于船舶操纵运动数学模型,开发船舶操纵运动仿真平台,并利用开发的仿真平台开展船舶操纵运动特性研究。
论文的主要研究工作和相关结论如下:
①系统地调查、总结国内外本项研究的动态和成果,总结成功的经验及存在的问题,分析得出本文的研究思路;
②基于平面二维水流数学模型,利用Fortran语言编写程序进行计算。结合实际工程对该数值模拟方法进行验证,结果表明此模型达到了一定的精度,能够满足工程需要。
③基于船舶操纵运动数学模型,采用VB语言编写计算程序开发仿真平台,仿真平台给出了Windows风格的菜单、工具栏及窗口,实现了计算过程的可视化和动态演示。
④利用仿真平台对工程河段代表船舶进行了Z形试验和旋回试验仿真,并同实测结果进行比较,结果表明此仿真平台满足工程开发要求。
⑤在水流数学模型和船舶运动数学模型验证合理的基础上,耦合水流数学模型,利用仿真平台开展菜园坝河段船舶操纵运动试验,研究船舶在典型水域的操纵特点。试验结果表明该仿真平台可以作为一种预报船舶在一定条件下操纵运动的工具,具有广泛的应用前景。
Ship maneuverability is considered as an important index and relates closely to the navigation safety and economy. As the navigation abilities have been enhanced quickly,the transport quantity of ships increase so fast that the navigation conditions of waterway and navigation structures must be challenged with difficulties due to enlargement and rapid development of ships. In addition,it is obvious that there are more and more difficulties for ship maneuvering because of the complexity of navigation condition and distinct discrepancy of drivers.Thus,the attention of navigation safety has been largely paid.Therefore,in order to insure the safety of waterway and ships, it is more and more important for the researches on ship maneuvering.
According to the reseaches results on hydrodynamics, the simulation platform for ship maneuvering has been developed based on the ship maneuvering motion mathematical model in this paper.
The main reseach work and relevant results are listed as follows:
①The relevant research results and successful experiences and existing problems get investigated and concluded. Also,the research method was analyzed.
②The simulation code has been obtained based on fortran by building the flow mathematical model with two dimension and corresponding verfication have been carried out.The results showed that the simulation precision can meet with the need of practical engineering.
③Based on the ship maneuvering motion mathematical model,the simulation platform has been developed. In addition, there are menus,tools and windows with style of Microsoft Windows on this platform which can achieve visualization and dynamic display.
④Various tests of ship maneuvering simulation including turning circle, zig-zag maneuvering on the practical engineering reach are carried out by this platform, which showed that the results are satisfactory by analyzing the simulation precision and can be applied with the practical engineering studies.
⑤Based on the reasonable flow and ship motion mathematical model, the tests of ship maneuvering simulation on the Caiyuanba reach were achieved on this platform and ship maneuvering characteristics on typical water area were investicated.The results showed that the platform can be deemed as a tool that forecasts ship maneuvering under some certain conditions. Furthermore, it is foreseen that the platform will be more heavily used as its development becomes more sophisticated and user friendly.
本论文从水动力学观点出发,基于船舶操纵运动数学模型,开发船舶操纵运动仿真平台,并利用开发的仿真平台开展船舶操纵运动特性研究。
论文的主要研究工作和相关结论如下:
①系统地调查、总结国内外本项研究的动态和成果,总结成功的经验及存在的问题,分析得出本文的研究思路;
②基于平面二维水流数学模型,利用Fortran语言编写程序进行计算。结合实际工程对该数值模拟方法进行验证,结果表明此模型达到了一定的精度,能够满足工程需要。
③基于船舶操纵运动数学模型,采用VB语言编写计算程序开发仿真平台,仿真平台给出了Windows风格的菜单、工具栏及窗口,实现了计算过程的可视化和动态演示。
④利用仿真平台对工程河段代表船舶进行了Z形试验和旋回试验仿真,并同实测结果进行比较,结果表明此仿真平台满足工程开发要求。
⑤在水流数学模型和船舶运动数学模型验证合理的基础上,耦合水流数学模型,利用仿真平台开展菜园坝河段船舶操纵运动试验,研究船舶在典型水域的操纵特点。试验结果表明该仿真平台可以作为一种预报船舶在一定条件下操纵运动的工具,具有广泛的应用前景。
Ship maneuverability is considered as an important index and relates closely to the navigation safety and economy. As the navigation abilities have been enhanced quickly,the transport quantity of ships increase so fast that the navigation conditions of waterway and navigation structures must be challenged with difficulties due to enlargement and rapid development of ships. In addition,it is obvious that there are more and more difficulties for ship maneuvering because of the complexity of navigation condition and distinct discrepancy of drivers.Thus,the attention of navigation safety has been largely paid.Therefore,in order to insure the safety of waterway and ships, it is more and more important for the researches on ship maneuvering.
According to the reseaches results on hydrodynamics, the simulation platform for ship maneuvering has been developed based on the ship maneuvering motion mathematical model in this paper.
The main reseach work and relevant results are listed as follows:
①The relevant research results and successful experiences and existing problems get investigated and concluded. Also,the research method was analyzed.
②The simulation code has been obtained based on fortran by building the flow mathematical model with two dimension and corresponding verfication have been carried out.The results showed that the simulation precision can meet with the need of practical engineering.
③Based on the ship maneuvering motion mathematical model,the simulation platform has been developed. In addition, there are menus,tools and windows with style of Microsoft Windows on this platform which can achieve visualization and dynamic display.
④Various tests of ship maneuvering simulation including turning circle, zig-zag maneuvering on the practical engineering reach are carried out by this platform, which showed that the results are satisfactory by analyzing the simulation precision and can be applied with the practical engineering studies.
⑤Based on the reasonable flow and ship motion mathematical model, the tests of ship maneuvering simulation on the Caiyuanba reach were achieved on this platform and ship maneuvering characteristics on typical water area were investicated.The results showed that the platform can be deemed as a tool that forecasts ship maneuvering under some certain conditions. Furthermore, it is foreseen that the platform will be more heavily used as its development becomes more sophisticated and user friendly.
引文
[1] Davidson K S M,Schiff L.Tuming and Course Keeping Qualities.SNAME Transactions,1946(54):152-200
[2]乐美龙.船舶操纵性预报与港航操纵运动仿真[M].上海:上海交通大学出版社,2004
[3] Abkowitz M A.Measurement of Hydrodynamic Characteristies from Ship Manoeuvring Trails by System Identification.Trans.of SNAME,1980,Vol.88.
[4] Chislett M.S and Wied S.A note to the mathematical modeling of ship maneuvering in relation to a nautical environment with Partical reference to current.Int.Conf.on Numerical and Hydraulic Modeling of Ports and Harbours.Birmingham.England,1985
[5]野本谦作.船舶操纵性和控制及其在船舶设计中的应用[M].无锡:中国船舶科学研究中心,1982.
[6]野本谦作,新しぃ操纵性模型试验法,日本造船学会论文集[C].No.126,1969
[7] NH Norrbin.Theory and Observation on the Use of a Mathematical Model for Ship Manoeuvring in Deep and Confined Waters,Publication of SSPA.Sweden,1970:68.
[8]藤野正隆,位相面を用ぃた操纵性解析——法(1)[C].日本造船学会论文集,No.132,1972
[9]藤野正隆,位相面を用ぃた操纵性解析——法(ぅ)[C].日本造船学会论文集,No.13ぉ,1973
[10] Gill,A.D.,The Identification of Maneuvering Equation from Ship Trials Results,Trans.RINA,Vol.119 1976
[11]俞胜芬,船舶操纵运动方程参数参数估算[J].中国造船,No.78,1982
[12]陈明栋,罗家麟.小比尺船模在水工、河工模型中的应用[J].长江科学院院报,1986(2)
[13] Abkowitz M A,Lectures in Ship Hydrodynamics,Steering and Maneuverability.USA,1967.
[14]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅰ[J].日本造船协会志,1977,575:192-198
[15]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅱ[J].日本造船协会志,1977,577:322-329
[16]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅲ[J].日本造船协会志,1977,578:358-372
[17]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅳ[J].日本造船协会志,1977,618:404-413
[18]松本宪阳,末光启二.操纵运动の数学モデ儿にけゐ船体、推进器、舵の干涉效果[J].昭和58年,关西造船协会志,第190号
[19]松本宪阳.操纵运动时に船体に动く流体力[J].关西造船协会志,昭和58年,第210号
[20] Inoue S et al.Hydrodynamic Derivatives on Ship Manoeuvering[J].ISP,1981,28
[21] Inoue S et al.Hydrodynamic Derivatives on Ship Manoeuvering[J].ISP,1981,128
[22]芳村康南.浅水域の操纵运动数学モデ儿の检讨(第2报)[J].关西造船协会,昭和61年,第200号:41-50
[23]鸟野庆一.模型船にょゐ离着栈时の船体横方向流体力に关すゐ实验研究[J].关西造船协会志,第209号,昭和63年6月
[24]鸟野庆一.斜航流体力の物理成分分离にょゐ数学モデ儿—主船体ょび上部结构[J].关西造船协会志,第213号,平成2年3月
[25]鸟野庆一.低速和斜航时作用于船体的操纵性水动力的新数学模型[J].舰船力学情报,1990,(7)
[26]鸟野庆一.斜航流体力物理成分分离にょゐ数学モデ儿[J].关西造船协会志,第216号,平成3年9月
[27]鸟野庆一.低速时にけゐ主船体操纵性流体力新の数学モデ儿(第2报)----旋回时の场合[J].关西造船协会志,第217号,平成4年3月
[28]鸟野庆一.定加速度の斜航实验にょゐ付加质量mx,myの测定[J].关西造船协会志,第220号,平成5年9月
[29]小濑邦治.低速で航行すゐ船の操纵运动モデ儿[J].日本造船学会论文集,昭和59年,第155号
[30]贵岛胜朗.深水和浅水中船舶操纵性的预报方法[J].舰船力学情报,1992(2)
[31]正司公一.港湾内での操纵运动を表わす数学モデ儿について[J].关西造船协会志,平成元年9月,第212号
[32]浜本刚实,金润洙.波浪中の操纵运动を记述すゐみ新しい坐标系ぞその运动方程式[J].日本造船学会论文集,173号
[33]黄国梁,楼连根,卢军等.船舶在波浪中操纵运动仿真[J].中国航海,1998,(2):8-15
[34]洪碧光.船舶风压系数计算方法[J].大连海运学院学报,1991,17(2):113-121
[35]杨盐生,方祥麟.不均匀流中船舶操纵运动仿真模型及应用[J].中国造船,1997,(1):30-34
[36]孔祥军,邹早建,牟军敏.一种操纵性水动力导数的实用估算方法[J].武汉理工大学学报,2004,28(1):30-32
[37]张庆河,李炎保,韩涛.考虑外环境影响的船舶操纵模拟自动舵系统[J].中国造船,2001,42(8):34-38
[38]高孝日,洪碧光,孙洪波.倒车时螺旋桨横向力计算方法[J].大连海事大学学报,2007,33(1):21-24
[39]王化明,邹早建.双桨双舵船舶操纵性预报研究[J].武汉理工大学学报,2006,2(1):124-127
[40]董国祥,陆惠生,江希龄.船舶操纵运动仿真及其理论研究[J].上海交通大学学报,1996,30(10):159-170
[41] Maekawa,K.Shuto,C.Karasuno,K.Nonaka K.Estimation of Added Mass Coefficients mx, my by using CFD through oblique Towing Test with Constant Aeceleration,Journal of KansaiSoeiety of Naval Architects Japan,1999,232:55-61
[42]孙景浩.考虑横摇藕合的高速船操纵运动协[C].日本造船学会论文集[C].1981(150).
[43]平野雅祥.初步设计时船舶操纵运动计算方法[C].日本造船学会论文集[C].1980(147).
[44]魏云雨,洪碧光,于洋.锚泊运动的数学模型[J].大连海事大学学报,2004,30(3):21-23
[45]李子富,杨盐生.船舶在规则波中纵摇与升沉运动的仿真[J].大连海事大学学报,2002,28(4):13-16
[46]张秀凤,尹勇,金一丞.规则波中船舶运动六自由度数学模型[J].交通运输工程学报,2007,6(3):40-43
[47]甘浪雄等.船舶在桥区运动轨迹的理论与实践探讨.武汉理工大学学报[J].2003(增刊)
[48]刘明俊,甘浪雄.在风流作用下船舶桥区运动模型探讨[J].交通科技,2003(增刊),28-30
[49]甘浪雄,刘明俊.船舶在桥区运动轨迹的理论与实践探讨[J].交通科技,2003(增刊),31-33
[50]杨盐生.船舶靠离泊操纵数学模型的研究[J].大连海事大学学报,1996,11(4):11-15
[51]陈明栋,文岑,杨胜发.苏通长江公路大桥河段通航水流条件数值模拟[J].水动力学研究与进展:A辑,2005,z1:836-842
[52]陈明栋,杨胜发.苏通长江大桥建桥后航线规划研究[J].重庆建筑大学学报,2001,23(5):45-49
[53]文岑,陈桂馥.船舶航行的数值模拟[J].重庆交通学院院报,2000,12(4):102-105
[54]杨胜发,文岑,陈明栋,方铎.长江南京三桥建桥后船舶航行过程数值模拟[J].四川大学学报,2002,3(2):39-43
[55]文岑,陈景秋,陈明栋.南京长江第四大桥航行条件数值模拟研究[J].重庆建筑大学学报,2006,8(4):34-37
[56]张庆河,李炎保,韩涛.考虑外环境影响的船舶操纵模拟白动舵系统.中国造船,2001,42(8):34-37
[57] Xu Yanmin,Liu Mingjun,Zou Zaojian.Comparative Study of Numerical Simulation and Full-scale Experiment of Ship Traijectory in Bridge Area[J].Journal of W uhan University of Technology(Transportation Science& Engineering)2008(6):573-576
[58]徐言民.基于操纵模拟的桥区水域船舶通航安全预控研究[D].上海交通大学.2010.04
[59]盛慧急.船舶在风浪中航行的操纵运动数学模型[J].学术平台
[60]宣国祥,杨朝东,黄岳等.船舶航行条件的实时模拟[J].水利水运工程学报,1992,2(5):1-4
[61]熊光楞,刘正元.数字式船舶操纵训练仿真器的数学模型及实时仿真方法,清华大学,1982
[62]夏尚钮,陈厚甫.超大型船及其在浅水中航行的一些问题[J].船舶力学情报,1984,(4):1-7
[63]周昭明,盛子寅,冯悟时.多用途货船的操纵性预报[J].船舶工程,1983,(6):21-36
[64]刘正元.船舶操纵运动数学模型.702所,1985
[65]朱军,范尚雍.高速方尾舰船的操纵性预报[D].第四届船舶操纵性学术讨论会论文集,中国造船编辑部,1986
[66]李美菁,盛子寅.船舶多工况操纵运动模拟计算[J].中国造船编辑部,1986
[67]王家驹.船舶操纵性预报在长江中的应用[J].中国造船编辑部,1986
[68]李美菁,吴秀恒.船舶在风浪流及浅水域中多工况操纵运动模拟计算[J].中国造船第106期,1989年7月
[69]陈平璋.用模拟计算进行操纵性预报的尝试[J].上海海运学院学报1991(2)
[70]石爱国等,船舶操纵仿真建模的实用新方法[C].第二届北京国际仿真会议论文集,1992
[71]贾传寅,杨盐生,谷伟.基于电子海图的的船舶操纵模拟器[C].中国航海学会学术交流会论文集,1992
[72]肖建良,贾欣乐.船舶全方位操纵数学模型[J].大连海运学院学报,1992(4)
[73]张乐文,余志兴,吴秀恒.稳定状态船舶操纵性计算及运用[J].武汉交通科技大学学报,1994(3)
[74]范尚雍,程智斌,吕韶康.高速双桨双舵船的船一桨一舵之间的水动力干扰[J].中国造船,1989,(2):25-32
[75]贾欣乐,张显库.船舶运动智能控制与H∞鲁棒控制[M].大连:大连海事大学出版社,2002:9-13
[76]熊光楞,等.计算机仿真应用[M].北京:清华大学出版社
[77]李殿璞.船舶运动与建模[M].哈尔滨:哈尔滨工程大学出版社,1999
[78]林叶锦,任光.基于Simnlink的船舶运动控制的仿真研究[J].系统仿真学报,2003(6):837-840
[79]李文魁,陈永冰,田蔚风,等.基于MATLAB的船舶运动控制实时仿真研究[J].系统仿真学报,2007(10):4424-4427
[80]陈虹丽,王岩,赵希人.船舶纵向运动控制模型的建立及仿真[J].应用科技,2008(1):57-60.
[81]何金花,彭侠夫,王莺.船舶运动视景仿真系统研究[J].计算机仿真,2007(8):198-200
[82]刘元丰,杨渡军,陈禾,等.三峡库区桥区河段船舶运动模型与仿真研究[J].重庆交通大学学报(自然科学版),2010(2):138-141
[83]肖凡,张涛,万峻.海洋环境中船舶运动规律的可视化仿真方法研究[J].造船披术,2010(3):43-46
[84]卞钢,刘寅东.基于3dsmax的船舶三维运动仿真[J].计算机仿真,2004(4):216-219.
[85] Chou P Y.On velocity correlations and the solutions of the equations of turbulent fluctuation.Quart[J].Applied Mathematics.1945(3):38-54.
[86] Davidov B I.On the statistic dynamics of an incompressible turbulent fluid.Dokl.ANNSSER.1961,136:47-50.
[87] Johns W P,Launder B E.Predictions of low-Reynolds-number phenomena with a 2-equationmodel of turbulence[J].International Journal of Heat and Mass Transfer.1973,16:1119-1134.
[88]沈永明,吴修广,郑永红.曲线坐标下平面二维水流计算的代数应力湍流模型[J].水力学报,2005,36(4):383-390.
[89]吴修广,沈永明,郑永红等.非正交曲线坐标下水流和污染物扩散输移的数值计算[J].中国工程科学,2003,5(2):57-61.
[90]李大鸣,陈虹,李世森.河道洪水演进的二维水流数学模型[J].天津大学学报,1998,31(4):439-446.
[91]于曰旻.曲线坐标系复杂边界二维水流数值模拟研究[D].大连理工大学硕士学位论文,2006年6月.
[92]贾欣乐,杨盐生.船舶运动数学模型[M].大连:大连海事大学出版社,1999
[93] (范尚雍译)井上正佑等.船舶装载状态对操纵性能的影响[J].船海工程,1984(2):61-65.
[94]沈炜,杨世锡.Visual Basic编程从基础到实践[M].北京:电子工业出版社,2005.9:1-2
[95]吴秀恒.船舶操纵性与与耐波性[M].北京:人民交通出版社,1999
[2]乐美龙.船舶操纵性预报与港航操纵运动仿真[M].上海:上海交通大学出版社,2004
[3] Abkowitz M A.Measurement of Hydrodynamic Characteristies from Ship Manoeuvring Trails by System Identification.Trans.of SNAME,1980,Vol.88.
[4] Chislett M.S and Wied S.A note to the mathematical modeling of ship maneuvering in relation to a nautical environment with Partical reference to current.Int.Conf.on Numerical and Hydraulic Modeling of Ports and Harbours.Birmingham.England,1985
[5]野本谦作.船舶操纵性和控制及其在船舶设计中的应用[M].无锡:中国船舶科学研究中心,1982.
[6]野本谦作,新しぃ操纵性模型试验法,日本造船学会论文集[C].No.126,1969
[7] NH Norrbin.Theory and Observation on the Use of a Mathematical Model for Ship Manoeuvring in Deep and Confined Waters,Publication of SSPA.Sweden,1970:68.
[8]藤野正隆,位相面を用ぃた操纵性解析——法(1)[C].日本造船学会论文集,No.132,1972
[9]藤野正隆,位相面を用ぃた操纵性解析——法(ぅ)[C].日本造船学会论文集,No.13ぉ,1973
[10] Gill,A.D.,The Identification of Maneuvering Equation from Ship Trials Results,Trans.RINA,Vol.119 1976
[11]俞胜芬,船舶操纵运动方程参数参数估算[J].中国造船,No.78,1982
[12]陈明栋,罗家麟.小比尺船模在水工、河工模型中的应用[J].长江科学院院报,1986(2)
[13] Abkowitz M A,Lectures in Ship Hydrodynamics,Steering and Maneuverability.USA,1967.
[14]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅰ[J].日本造船协会志,1977,575:192-198
[15]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅱ[J].日本造船协会志,1977,577:322-329
[16]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅲ[J].日本造船协会志,1977,578:358-372
[17]小川宏阳,小山健夫,贵岛胜朗.MMG报告-Ⅳ[J].日本造船协会志,1977,618:404-413
[18]松本宪阳,末光启二.操纵运动の数学モデ儿にけゐ船体、推进器、舵の干涉效果[J].昭和58年,关西造船协会志,第190号
[19]松本宪阳.操纵运动时に船体に动く流体力[J].关西造船协会志,昭和58年,第210号
[20] Inoue S et al.Hydrodynamic Derivatives on Ship Manoeuvering[J].ISP,1981,28
[21] Inoue S et al.Hydrodynamic Derivatives on Ship Manoeuvering[J].ISP,1981,128
[22]芳村康南.浅水域の操纵运动数学モデ儿の检讨(第2报)[J].关西造船协会,昭和61年,第200号:41-50
[23]鸟野庆一.模型船にょゐ离着栈时の船体横方向流体力に关すゐ实验研究[J].关西造船协会志,第209号,昭和63年6月
[24]鸟野庆一.斜航流体力の物理成分分离にょゐ数学モデ儿—主船体ょび上部结构[J].关西造船协会志,第213号,平成2年3月
[25]鸟野庆一.低速和斜航时作用于船体的操纵性水动力的新数学模型[J].舰船力学情报,1990,(7)
[26]鸟野庆一.斜航流体力物理成分分离にょゐ数学モデ儿[J].关西造船协会志,第216号,平成3年9月
[27]鸟野庆一.低速时にけゐ主船体操纵性流体力新の数学モデ儿(第2报)----旋回时の场合[J].关西造船协会志,第217号,平成4年3月
[28]鸟野庆一.定加速度の斜航实验にょゐ付加质量mx,myの测定[J].关西造船协会志,第220号,平成5年9月
[29]小濑邦治.低速で航行すゐ船の操纵运动モデ儿[J].日本造船学会论文集,昭和59年,第155号
[30]贵岛胜朗.深水和浅水中船舶操纵性的预报方法[J].舰船力学情报,1992(2)
[31]正司公一.港湾内での操纵运动を表わす数学モデ儿について[J].关西造船协会志,平成元年9月,第212号
[32]浜本刚实,金润洙.波浪中の操纵运动を记述すゐみ新しい坐标系ぞその运动方程式[J].日本造船学会论文集,173号
[33]黄国梁,楼连根,卢军等.船舶在波浪中操纵运动仿真[J].中国航海,1998,(2):8-15
[34]洪碧光.船舶风压系数计算方法[J].大连海运学院学报,1991,17(2):113-121
[35]杨盐生,方祥麟.不均匀流中船舶操纵运动仿真模型及应用[J].中国造船,1997,(1):30-34
[36]孔祥军,邹早建,牟军敏.一种操纵性水动力导数的实用估算方法[J].武汉理工大学学报,2004,28(1):30-32
[37]张庆河,李炎保,韩涛.考虑外环境影响的船舶操纵模拟自动舵系统[J].中国造船,2001,42(8):34-38
[38]高孝日,洪碧光,孙洪波.倒车时螺旋桨横向力计算方法[J].大连海事大学学报,2007,33(1):21-24
[39]王化明,邹早建.双桨双舵船舶操纵性预报研究[J].武汉理工大学学报,2006,2(1):124-127
[40]董国祥,陆惠生,江希龄.船舶操纵运动仿真及其理论研究[J].上海交通大学学报,1996,30(10):159-170
[41] Maekawa,K.Shuto,C.Karasuno,K.Nonaka K.Estimation of Added Mass Coefficients mx, my by using CFD through oblique Towing Test with Constant Aeceleration,Journal of KansaiSoeiety of Naval Architects Japan,1999,232:55-61
[42]孙景浩.考虑横摇藕合的高速船操纵运动协[C].日本造船学会论文集[C].1981(150).
[43]平野雅祥.初步设计时船舶操纵运动计算方法[C].日本造船学会论文集[C].1980(147).
[44]魏云雨,洪碧光,于洋.锚泊运动的数学模型[J].大连海事大学学报,2004,30(3):21-23
[45]李子富,杨盐生.船舶在规则波中纵摇与升沉运动的仿真[J].大连海事大学学报,2002,28(4):13-16
[46]张秀凤,尹勇,金一丞.规则波中船舶运动六自由度数学模型[J].交通运输工程学报,2007,6(3):40-43
[47]甘浪雄等.船舶在桥区运动轨迹的理论与实践探讨.武汉理工大学学报[J].2003(增刊)
[48]刘明俊,甘浪雄.在风流作用下船舶桥区运动模型探讨[J].交通科技,2003(增刊),28-30
[49]甘浪雄,刘明俊.船舶在桥区运动轨迹的理论与实践探讨[J].交通科技,2003(增刊),31-33
[50]杨盐生.船舶靠离泊操纵数学模型的研究[J].大连海事大学学报,1996,11(4):11-15
[51]陈明栋,文岑,杨胜发.苏通长江公路大桥河段通航水流条件数值模拟[J].水动力学研究与进展:A辑,2005,z1:836-842
[52]陈明栋,杨胜发.苏通长江大桥建桥后航线规划研究[J].重庆建筑大学学报,2001,23(5):45-49
[53]文岑,陈桂馥.船舶航行的数值模拟[J].重庆交通学院院报,2000,12(4):102-105
[54]杨胜发,文岑,陈明栋,方铎.长江南京三桥建桥后船舶航行过程数值模拟[J].四川大学学报,2002,3(2):39-43
[55]文岑,陈景秋,陈明栋.南京长江第四大桥航行条件数值模拟研究[J].重庆建筑大学学报,2006,8(4):34-37
[56]张庆河,李炎保,韩涛.考虑外环境影响的船舶操纵模拟白动舵系统.中国造船,2001,42(8):34-37
[57] Xu Yanmin,Liu Mingjun,Zou Zaojian.Comparative Study of Numerical Simulation and Full-scale Experiment of Ship Traijectory in Bridge Area[J].Journal of W uhan University of Technology(Transportation Science& Engineering)2008(6):573-576
[58]徐言民.基于操纵模拟的桥区水域船舶通航安全预控研究[D].上海交通大学.2010.04
[59]盛慧急.船舶在风浪中航行的操纵运动数学模型[J].学术平台
[60]宣国祥,杨朝东,黄岳等.船舶航行条件的实时模拟[J].水利水运工程学报,1992,2(5):1-4
[61]熊光楞,刘正元.数字式船舶操纵训练仿真器的数学模型及实时仿真方法,清华大学,1982
[62]夏尚钮,陈厚甫.超大型船及其在浅水中航行的一些问题[J].船舶力学情报,1984,(4):1-7
[63]周昭明,盛子寅,冯悟时.多用途货船的操纵性预报[J].船舶工程,1983,(6):21-36
[64]刘正元.船舶操纵运动数学模型.702所,1985
[65]朱军,范尚雍.高速方尾舰船的操纵性预报[D].第四届船舶操纵性学术讨论会论文集,中国造船编辑部,1986
[66]李美菁,盛子寅.船舶多工况操纵运动模拟计算[J].中国造船编辑部,1986
[67]王家驹.船舶操纵性预报在长江中的应用[J].中国造船编辑部,1986
[68]李美菁,吴秀恒.船舶在风浪流及浅水域中多工况操纵运动模拟计算[J].中国造船第106期,1989年7月
[69]陈平璋.用模拟计算进行操纵性预报的尝试[J].上海海运学院学报1991(2)
[70]石爱国等,船舶操纵仿真建模的实用新方法[C].第二届北京国际仿真会议论文集,1992
[71]贾传寅,杨盐生,谷伟.基于电子海图的的船舶操纵模拟器[C].中国航海学会学术交流会论文集,1992
[72]肖建良,贾欣乐.船舶全方位操纵数学模型[J].大连海运学院学报,1992(4)
[73]张乐文,余志兴,吴秀恒.稳定状态船舶操纵性计算及运用[J].武汉交通科技大学学报,1994(3)
[74]范尚雍,程智斌,吕韶康.高速双桨双舵船的船一桨一舵之间的水动力干扰[J].中国造船,1989,(2):25-32
[75]贾欣乐,张显库.船舶运动智能控制与H∞鲁棒控制[M].大连:大连海事大学出版社,2002:9-13
[76]熊光楞,等.计算机仿真应用[M].北京:清华大学出版社
[77]李殿璞.船舶运动与建模[M].哈尔滨:哈尔滨工程大学出版社,1999
[78]林叶锦,任光.基于Simnlink的船舶运动控制的仿真研究[J].系统仿真学报,2003(6):837-840
[79]李文魁,陈永冰,田蔚风,等.基于MATLAB的船舶运动控制实时仿真研究[J].系统仿真学报,2007(10):4424-4427
[80]陈虹丽,王岩,赵希人.船舶纵向运动控制模型的建立及仿真[J].应用科技,2008(1):57-60.
[81]何金花,彭侠夫,王莺.船舶运动视景仿真系统研究[J].计算机仿真,2007(8):198-200
[82]刘元丰,杨渡军,陈禾,等.三峡库区桥区河段船舶运动模型与仿真研究[J].重庆交通大学学报(自然科学版),2010(2):138-141
[83]肖凡,张涛,万峻.海洋环境中船舶运动规律的可视化仿真方法研究[J].造船披术,2010(3):43-46
[84]卞钢,刘寅东.基于3dsmax的船舶三维运动仿真[J].计算机仿真,2004(4):216-219.
[85] Chou P Y.On velocity correlations and the solutions of the equations of turbulent fluctuation.Quart[J].Applied Mathematics.1945(3):38-54.
[86] Davidov B I.On the statistic dynamics of an incompressible turbulent fluid.Dokl.ANNSSER.1961,136:47-50.
[87] Johns W P,Launder B E.Predictions of low-Reynolds-number phenomena with a 2-equationmodel of turbulence[J].International Journal of Heat and Mass Transfer.1973,16:1119-1134.
[88]沈永明,吴修广,郑永红.曲线坐标下平面二维水流计算的代数应力湍流模型[J].水力学报,2005,36(4):383-390.
[89]吴修广,沈永明,郑永红等.非正交曲线坐标下水流和污染物扩散输移的数值计算[J].中国工程科学,2003,5(2):57-61.
[90]李大鸣,陈虹,李世森.河道洪水演进的二维水流数学模型[J].天津大学学报,1998,31(4):439-446.
[91]于曰旻.曲线坐标系复杂边界二维水流数值模拟研究[D].大连理工大学硕士学位论文,2006年6月.
[92]贾欣乐,杨盐生.船舶运动数学模型[M].大连:大连海事大学出版社,1999
[93] (范尚雍译)井上正佑等.船舶装载状态对操纵性能的影响[J].船海工程,1984(2):61-65.
[94]沈炜,杨世锡.Visual Basic编程从基础到实践[M].北京:电子工业出版社,2005.9:1-2
[95]吴秀恒.船舶操纵性与与耐波性[M].北京:人民交通出版社,1999