The ray method for the deflection of a floating flexible platform in short waves

被引：22
|
作者：
Hermans, AJ [1 ]
机构：
[1] Delft Univ Technol, Dept Appl Math Anal, Fac Informat Technol & Syst, NL-2628 CD Delft, Netherlands
来源：
JOURNAL OF FLUIDS AND STRUCTURES | 2003年 / 17卷 / 04期
关键词：
asymptotic methods; boundary-integral equations; free-surface flows; hydroelasticity; ray method;
D O I：
10.1016/S0889-9746(02)00148-2
中图分类号：
TH [机械、仪表工业];
学科分类号：
0802 ;
摘要：
In this paper, we explain how the 'ray method' can be used to describe the deflection, due to short waves, of a very large floating platform in finite or infinite water depth. The elastic properties of the platform are isotropic; but may be distributed inhomogeneously. In the first section, we give a derivation of the equation for the phase and amplitude functions. Then an integro-differential equation for the determination of the deflection is used to find the initial condition for amplitude along the characteristics. For the homogeneous two-dimensional platform in water of finite depth, an exact solution in the form of a superposition of modes can be obtained. This simplified problem serves as a 'canonical' problem for problems with the same structure locally. In the last section, we give some-result for a semi-infinite platform with varying elasticity coefficient, the mass distribution being taken constant. (C) 2002 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：593 / 602
页数：10
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