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.
翻译:在这项工作中,我们提出了一个新颖的单一软质元素法(FEM),用于对具有稳定、节能和克服迭代算法需要的任意形状的极大型浮动结构(VLFS)进行水动弹性分析,新的配方使线性自由地表流动的完全单一溶液(以线性潜在流动描述),加上由Euler-Bernoulli beam或Poisson-Kirchhoff板块方程式描述的浮薄结构。本工作提出的配方很笼统,因为可以在频率和时间范围内找到解决办法,它通过采用连续/不连续的加列尔金(C/DG)方法,克服了使用C1连续性元素的需要,它适合于任意秩序的金融因素。我们表明,拟议的方法可以准确地描述VLFS的浮薄质现象,并进行各种测试,包括有弹性连接的结构、可变水深和任意结构形状。