基于Kirchhoff和Mindlin平板理论的超大浮体线性波动响应的比较研究

Cynthia D. Wang, C. Wang
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引用次数: 0

摘要

一般的做法是用一块有自由边缘的弹性薄板来模拟一个非常大的、像垫子一样的漂浮体(如浮冰和巨型浮子)。然而,当波长小于体厚的十倍时,经典的薄板(Kirchhoff)理论有局限性。这是因为它忽略了横向剪切变形和印版转动惯量的影响。为了克服这个缺点,我们建议使用一阶剪切变形板(Mindlin)理论来表示浮动体。本文比较了两种平板理论在计算波浪作用于大型浮体时的效果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A Comparative Study on the Linear Wave Response of a Very Large Floating Body Modelled by a Plate based on Kirchhoff and Mindlin Plate Theories
It has been a general practice to model a very large, mat-like, floating body (such as ice floes and mega-floats) by an elastic thin plate with free edges. However, the classical thin plate (Kirchhoff) theory has a limitation when the wavelengths are less than ten times the body thickness. This is because it neglects the effects of transverse shear deformation and the rotary inertia of the plate. To overcome this drawback, we propose the use of the first-order shear deformable plate (Mindlin) theory to represent floating bodies. In this paper we present the comparison of both plate theories when used to calculate the effect of waves on a large floating body.
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