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波浪力数值分析中的一种新的无限单元法
A NEW INFINITE ELEMENT METHOD IN NUMERICAL ANALYSIS OF WAVE FORCES
【摘要】 本文研究了波浪力数值分析中的有限元-无限元方法(Finito-iuifinite Elomont Me-thod)。提出了一种新的无限单元。这种单元的形函数中,含育第一类零阶汉克尔函数,比以往采用的 e-r/Letkr型无限单元更符合物理意义且计算简便。本文对水深为常数的可化为 x-y 平面的二维波浪力问题,推导了这种 H0(1)(kr)型无限单元的计算公式。应用本文推荐的有限元一无限元方法,设计了计算任意截面形状柱体所受波浪力的计算机程序。数值算例表明,本文的结果与理论解或其它数值方法给出的结果吻合很好。
【Abstract】 In this paper,the finite-infinite element method in numerical analysis of wave forces is examined and a new infinite element is presented.The H0(1)(kr)is contained in the shape functions of the element which is more reasonable from the view point of physics and much simpler for conputing than the element containing e-r/Leikr in its shape functions.The formulations of the element have been derived in the case of x-y plan problem with constant water depth.The computer program which can be used for deter- mining wave forces on cylinders with arbitrary section is written by using the finite-infinite element method proposed in this paper.Two numeri- cal examples are investigated and the results using the method proposed show good agreement with analYtical solutions of those using other numeri- cal methods.
- 【文献出处】 海洋工程 ,The Ocean Engineering , 编辑部邮箱 ,1986年03期
- 【被引频次】12
- 【下载频次】79