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A simplified analysis of rectangular floating plates subjected to moving loads

机译：矩形浮板在运动载荷作用下的简化分析

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摘要

A simplified analytical method for determining the preliminary design stage of rectangular very large floating plates, as for a floating international airport, is proposed in the closed form solution under the Kirchhoff-Love hypothesis and small deformation. The floating plates have both variable structural stiffness and variable spring stiffness. The variable structural stiffness is caused by local stiffness variations due to arbitrarily located voids, stiffened beams, and notches. These variations are expressed generally using the extended Dirac function proposed by Takabatake, H. (1991a, Int. J. Solids Strum 28 (2), pp. 179-196.). On the other hand, the variable spring stiffness represents the variation in buoyancy forces produced by tidal changes in shallow coastal seas. The buoyancy forces are represented by the elastic foundation in the Winkler model. The interaction between the structure and the water is neglected by regarding the additional water action produced by the effect of the interaction as an additional external load previously given from another suitable method. The simplified closed-form solutions for the transverse vibration and forced vibration are presented using the Galerkin method. Also, the level of accuracy of the closed-form solutions proposed here is proven from numerical computations. (C) 2015 Elsevier Ltd. All rights reserved.
机译：在Kirchhoff-Love假设和小变形的情况下，在封闭形式的解决方案中，提出了一种简化的分析方法，用于确定矩形超大型浮板的初步设计阶段，例如浮动国际机场。浮板具有可变的结构刚度和可变的弹簧刚度。可变的结构刚度是由于任意放置的空隙，加劲的梁和缺口引起的局部刚度变化引起的。这些变化通常使用Takabatake，H。（1991a，Int.J.Solids Strum 28（2），第179-196页）提出的扩展狄拉克函数表示。另一方面，可变的弹簧刚度表示由浅海沿岸的潮汐变化产生的浮力的变化。浮力由Winkler模型中的弹性基础表示。通过将相互作用的作用所产生的额外水作用视为先前由另一种合适方法给出的额外外部载荷，可以忽略结构与水之间的相互作用。使用Galerkin方法给出了横向振动和强迫振动的简化封闭形式解。同样，这里提出的闭式解的精度水平也可以通过数值计算得到证明。 （C）2015 Elsevier Ltd.保留所有权利。

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