论文标题
用于非常大的浮动结构的水理分析的单片有限元配方
A monolithic Finite Element formulation for the hydroelastic analysis of Very Large Floating Structures
论文作者
论文摘要
在这项工作中，我们提出了一种新颖的单片有限元方法（FEM），用于对非常大的浮动结构（VLF）进行的水力弹性分析，其任意形状是稳定，能源保存，并克服了迭代算法的需求。新的公式实现了线性自由表面流的完全单片的解，该解由线性电势流描述，并与浮动薄结构相结合，由Euler-Bernoulli Beam或Poisson-Kirchhoff板方程描述。这项工作中提出的公式是一般的，因为可以在频率和时间域中找到解决方案，它通过采用连续/不连续的Galerkin（C/DG）方法来克服使用具有C1连续性的元素的需求，并且适用于任意顺序的有限元素。我们表明，所提出的方法可以通过多种测试准确地描述VLF的水理现象，包括具有弹性关节的结构，可变的测深和任意结构形状。
In this work we present a novel monolithic Finite Element Method (FEM) for the hydroelastic analysis of Very Large Floating Structures (VLFS) with arbitrary shapes that is stable, energy conserving and overcomes the need of an iterative algorithm. The new formulation enables a fully monolithic solution of the linear free-surface flow, described by linear potential flow, coupled with floating thin structures, described by the Euler-Bernoulli beam or Poisson-Kirchhoff plate equations. The formulation presented in this work is general in the sense that solutions can be found in the frequency and time domains, it overcomes the need of using elements with C1 continuity by employing a continuous/discontinuous Galerkin (C/DG) approach, and it is suitable for Finite Elements of arbitrary order. We show that the proposed approach can accurately describe the hydroelastic phenomena of VLFS with a variety of tests, including structures with elastic joints, variable bathymetry and arbitrary structural shapes.
