Simulation and Measurement of a Nonlinear Hydrodynamic Sloshing Force on a Rectangular Tank With Shallow Water Depth
Simulation and Measurement of a Nonlinear Hydrodynamic Sloshing Force on a Rectangular Tank With Shallow Water Depth
复制标题
浅水深矩形水箱非线性水动力晃动力的模拟与测量
DOI：
10.1115/pvp2015-45770
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发表时间：
2015
期刊：
影响因子：
--
通讯作者：
Masahiro Watanabe
中科院分区：
文献类型：
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作者：
Kensuke Hara;Masahiro Watanabe
本文研究了矩形水箱上的水动力晃动力。我们特别关注浅水深度的非线性晃动对水动力的贡献。众所周知，浅水深度的水波通过固有的非线性表现出孤立波等特征行为。因此，非线性效应对于水动力晃荡力的估计至关重要。虽然这些行为是由浅水深度晃荡的典型特征引起的，但理论分析本质上是困难的，因为为了准确的数值预测必须考虑大量高阶非线性项和本征模态。因此，它产生了复杂的代数过程。本研究提出了基于哈密顿动力学的公式。此外，引入了Craig和Sulem开发的狄利克雷-诺依曼算子（DNO）来获得液体表面运动学边界条件的渐近描述。所提出的方法有助于考虑公式的非线性。此外，还进行了实验来测量由于受到水平激励的矩形水箱晃动而引起的波高和非线性流体力的时程。作为水动力时程频率分析的结果，观察到许多主频率奇数倍的频谱。这些特征也是通过所提出的方法的理论预测获得的。
This paper deals with a hydrodynamic sloshing force on a rectangular tank. In particular, we focus on a contribution of the nonlinear sloshing in shallow water depth to the hydrodynamic force. It is well known that the water wave in shallow water depth shows the characteristic behaviors such as the solitary wave by inherent nonlinearities. Therefore, the effect of nonlinearity is crucial for the estimation of the hydrodynamic sloshing force. Although these behaviors arises from the typical feature of the sloshing in shallow water depth, the theoretical analysis is essentially difficult because a lot of higher order nonlinear terms and eigenmodes have to be taken into account for accurate numerical predictions. Consequently, it yields complicated algebraic procedures. This study presents a formulation based on the Hamiltonian dynamics. In addition, the Dirichlet-Neumann operators (DNO) developed by Craig and Sulem was introduced to obtain an asymptotic description for the kinematic boundary condition of the liquid surface. The proposed approach facilitates the consideration of the nonlinearity for the formulation. Moreover, experiments were conducted to measure time histories of the wave height and the nonlinear fluid force due to the sloshing in a rectangular tank subjected to a horizontal excitation. As the results of frequency analyses for the time histories of the hydrodynamic force, many frequency spectra with the odd multiple of the dominant frequency were observed. These features were also obtained by the theoretical predictions by the proposed method.