【摘要】 针对成层海床的波浪响应问题,采用Laplace-Fourier变换和状态空间法求解控制方程,得到表征该问题基本状态量之间的传递矩阵。利用矩阵递推规律、边界条件及逆变换技术实现成层海床波浪响应的计算。以北海和密西西比三角洲的波浪和海床特征为参数进行算例分析,结果表明该方法具有较高的效率和精度。结合北海的工况指出在砂质海床的表面铺设一层砾石土可以增强海床的抗液化能力,起到保护海床的作用。更多还原

【Abstract】 Analytical solutions of the wave-induced responses in multilayered seabed are studied in this paper.State space method together with Laplace-Fourier transform techniques are used to solve the governing equations,and obtain the transfer matrix which represents the relationship between the basic state vectors in a clearly arranged way.Multilayered seabed can be calculated by using the matrix theory,boundary conditions and inverting integral transform.As illustrative examples,the typical seabed formations in the North Sea and the Mississippi Delta area under attack of design storm waves are analyzed.It is shown that the proposed method has the advantage of high calculation efficiency and accuracy.Based on the conditions of the North Sea area,the numerical calculations suggest that the seabed can be prevented from liquefaction by placing a layer of gravelly soils on the top of the sandy seabed.更多还原