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A 3D direct coupling method for steady ship hydroelastic analysis
Journal of Fluids and Structures ( IF 3.6 ) Pub Date : 2020-04-01 , DOI: 10.1016/j.jfluidstructs.2020.102891
Ik Jae Lee , Eun Soo Kim , Sun Hong Kwon

Abstract Asides from the influence of incoming waves, ships can experience steady motions, such as rigid-body sinkage and trim motions, and flexible-body vertical bending motions, due to a constant forward speed even under calm water conditions. In this paper, a novel approach to analyze steady-ship hydroelasticity, particularly for the steady-ship motions and surrounding steady-wave disturbances, is proposed using a three-dimensional (3D) direct coupling method, based on a higher-order boundary element method (HOBEM) and a higher-order shell finite element method (FEM). Within the linearized framework, a solution method is proposed based on a two-step procedure, using two types of Neumann–Kelvin (NK) linear flow models for the fluid part and a virtual work equilibrium equation for the structural part. The first step is to compute a mean position wave-resistance problem using the modified NK equation, the second step is to solve a perturbed position wave-resistance problem, by employing a classical NK model and a virtual work equation based on the first step’s solution. Detailed mathematical formulation and numerical procedures are described, and a few numerical results are illustrated. These include both rigid and flexible steady-ship motions, Von-Mises stress distributions, and wave-resistance coefficients for Froude numbers ranging from 0.15 to 0.5. Furthermore, the numerical results obtained using the present direct coupling method and a modal-based one are compared.

中文翻译:

一种用于稳态船舶水弹性分析的 3D 直接耦合方法

摘要 除了来波的影响外,船舶即使在平静的水面条件下,由于前进速度恒定,也会经历稳定运动,例如刚体下沉和纵倾运动,以及柔体垂直弯曲运动。在本文中,基于高阶边界元,使用三维 (3D) 直接耦合方法提出了一种分析稳态船舶水弹性的新方法,特别是针对稳态船舶运动和周围稳态波扰动的分析方法。方法(HOBEM)和高阶壳有限元方法(FEM)。在线性化框架内,提出了一种基于两步程序的求解方法,对流体部分使用两种类型的 Neumann-Kelvin (NK) 线性流动模型,对结构部分使用虚拟功平衡方程。第一步是使用修改后的 NK 方程计算平均位置波阻问题,第二步是通过采用经典 NK 模型和基于第一步解的虚拟功方程求解扰动位置波阻问题. 描述了详细的数学公式和数值程序,并说明了一些数值结果。这些包括刚性和柔性稳定船运动、Von-Mises 应力分布以及范围为 0.15 到 0.5 的弗劳德数的波浪阻力系数。此外,比较了使用本直接耦合方法和基于模态的方法获得的数值结果。通过采用经典的 NK 模型和基于第一步解决方案的虚拟功方程。描述了详细的数学公式和数值程序,并说明了一些数值结果。这些包括刚性和柔性稳定船运动、Von-Mises 应力分布以及范围为 0.15 到 0.5 的弗劳德数的波浪阻力系数。此外,比较了使用本直接耦合方法和基于模态的方法获得的数值结果。通过采用经典的 NK 模型和基于第一步解决方案的虚拟功方程。描述了详细的数学公式和数值程序,并说明了一些数值结果。这些包括刚性和柔性稳定船运动、Von-Mises 应力分布以及范围为 0.15 到 0.5 的弗劳德数的波浪阻力系数。此外,比较了使用本直接耦合方法和基于模态的方法获得的数值结果。
更新日期:2020-04-01
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