超大浮体在二维不均匀底部上的水弹性响应

为了研究不均匀的海底环境因素对超大浮体结构响应的影响，分别用线性长波理论和薄板理论来模拟波浪场和结构物的位移响应，建立耦合的运动响应方程，同时求解二维波浪场和板条梁的位移响应。以斜坡、椭圆面和正弦变化曲面等3种不同的二维底部形状为例，计算了二维不均匀的底部上超大型浮式结构物水弹性响应，并通过与底部平坦时的结构响应相比较，讨论了不均匀的底部对结构响应的影响。实例结果显示了当底部升高和底部下降时关于位移响应变化的一致性规律。

Hydroelastic Response of Very Large Floating Structures over 2D Variable Bottom

Variable bottom is a typical example of the inhomogeneous environment. The influence of the variable bottom on the hydroelastic response of very large floating structures (VLFSs) was illustrated by three specific examples with bottoms in three different shapes, i.e.a plane slope, an ellipse-shaped bar and a patch of periodic ripple. Linear long wave theory and thin plate theory were utilized to simulate waves and structures respectively. A coupled equation was constructed and numerically solved with a finite difference method. The velocity potentials and structure deflections were obtained simultaneously. Consistent results were obtained from the three examples.