大尺度方柱上波浪力的解析解
An Analytical Solution of Wave Forces on Large Square Cylinder
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摘要: 本文研究了用保角变换方法求解作用在大尺度矩形柱上的波浪力问题.发现只在方柱情况下,变换后的控制方程仍近似为亥姆霍茨方程,从而利用圆柱问题的解给出了作用在方柱上波浪力的解析解.Abstract: Wave forces on large square cylinder are determined by using the conformal transformation method. It is found that only for square cylinder, the governing equation is still the Helmlwlt equation after the conformal transformation. An analytical solution of wave forces on square cylinder is presented by using the solution of wave forces on a circular cylinder.
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[1] 赵子丹、陆君良,微幅波对矩形竖直墩柱的作用,海洋学报,2, 3 (1980),137-152. [2] Shankar, N.J., T. Balendra. and C.E. Soon. Wave forces on large vertical cylinders of square and rectangular sections, The Institmion of Engineers, Australia (1982). 36-43. [3] Isaacson. M.de St.Q., Wave forces on large square cylinders. Mechamics of Wave-Induced Forces on Cylinders, ed.T.L. Shaw, Pitman, London (1979), 609-622. [4] 梁昆森,《数学物理方法》,人民教育出版社(1979), 441-446. [5] Mogridge, G.R. and W.W. Jamieson, Wave forces on square caissons, Proc. 15th Coastal Eng. Conf., Honolulu, 3 (1976), 2271-2289. -
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