直立圆柱二阶波浪力解析解

邹志利; 戴遗山

直立圆柱二阶波浪力解析解

邹志利¹,
戴遗山²

1.
大连理工大学;
2.
哈尔滨船舶工程学院

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出版历程
- 收稿日期: 1993-02-10
- 刊出日期: 1994-09-15

An Anayntical Solution of the Second-Order Wave Force on a Vertical Circular Cylinder

Zhou Zhi-li¹,
Dai Yi-shan²

1.
Dalian University of Technology, Dalian;
2.
Harbin Shipbuilding Engineering Institute, Harbin

摘要

摘要: 大直径直立圆柱体上的二阶波浪力目前已有一些研究结果,但仍存在一些值得进一步探讨之处.这一方面在于二阶辐射条件还不甚清楚:另一方面在于已有的二阶力公式或是所含积分的收敛精度不易保证,或是表达式繁杂,不利于实际计算.本文在求解这一问题时,不是对二阶势提出辐射条件,而是对二阶势的周向富里叶分量提出辐射条件──Sommerfeld辐射条件.求解中,利用本文推导出的数学公式,简化了二阶自由面条件非齐次项的表达式,得到了形式简单,易于计算的二阶波浪力精确公式.二阶力计算结果与实验结果吻合良好.
- 波浪 /
- 二阶力 /
- 辐射条件 /
- 绕流
Abstract: An analytical solution of second-order diffractidn potential for a vertical circular cylinder of large diameter is presented in this paper.The problem of second-order radiation condition is discussed and it is concluded that the circum ferential components of the second-order potential have to satisfy the Sommcrfeld radiation condition.By using the mathematical formulas derived in this paper,the inhomogeneos terms of second-order free surface boundary condition are expressed in such a way that the particular solution of the second-order potential can be easily written out.The ezact expression of the second-order wave force given in this method is simple and easy to be caculated pumericully.Numerical results are also compared with expevimental values.
- water wave /
- second-order force /
- radiation condition /
- diffraction

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参考文献(14)

[1]	Yamaguchi,M.and Y.Tsuchiya,Nonlinear effect of waves on wave pressure and wave force on a large cylindrical pile,Proceeding of Civil Engineering Society in Japan,No.229,Sep.,(1974).(in Japanese).
[2]	Raman,H.,N.Jothishankar and P.Vendatanarasaiah,Nonlinear wave interaction with vertical cylinder of large diameter,J.of Ship Research,21,2,June(1977).
[3]	Chakrabarti,S.K.,Comments on second-order wave effects on large-diameter vertical cylinder,J.of Ship Research,22,4,Dec.,(1978).
[4]	Molin,B.,Second order diffraction loads upon three-dimensional bodies,Appl.Ocean Re.,1,4,(1979).
[5]	Hunt,J.N.and R.E.Baddour,Second-order wave forces on vertical cylinder,J.of the Waterway,Port,Coastal and Ocean Division,ASCE.108,WW3,Aug.,(1982).
[6]	Chen,M.and R.T.Hudspeth,Nonlinear diffraction by eigenfunction expansions,J.of the Waterway,Port,Coastal and Oceun Diai.sion,ASCE,108,Aug.,(1982).
[7]	Chakrabati,S.K.,Nonlinear wave effect on large offshore structure,Second International Symposium on Ocean Engineering and Ship Handling,(1983).
[8]	贺五洲、戴遗山.简单Green函数法求解三维水动力系数.中国造船,2(1986).
[9]	周清甫,柱体非线性散射问题的辐射条件,力学学报,17(47)(1985).
[10]	谬国平.刘应中,大直径圆柱上的二阶波浪力.中国造船,(1987).
[11]	Kim,M.H.and D.K.P.Yue,The complete second-order diffraction solution for an axisymmetric body,J.of Fluid Meclt.,200,(1989).
[12]	邹志利、戴遗山,Stokes波中三维物体的二阶绕射问题.哈尔滨船舶工程学院博士学位论文,(1989).
[13]	梅强中,《水波动力学》,科学出版社(1984).
[14]	Abramowitz,M.and 1.A.Stegun,Handbook of Mathematical Functions with Formulas,Graphs,and Mathematical Tables,National Bureau of Standards,Washington,D.C.,(1964).