直立圆柱二阶波浪力解析解
An Anayntical Solution of the Second-Order Wave Force on a Vertical Circular Cylinder
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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.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.
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Key words:
- water wave /
- second-order force /
- radiation condition /
- diffraction
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