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Nonlinear low frequency gravity waves in a water-filled cylindrical vessel subjected to high frequency excitations

机译:在充满水的圆柱形容器中经受高频激励的非线性低频重力波

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摘要

In the experiments of a water storage cylindrical shell, excited by a horizontal external force of sufficient large amplitude and high frequency, it has been observed that gravity water waves of low frequencies may be generated. This paper intends to investigate this phenomenon in order to reveal its mechanism. Considering nonlinear fluid–structure interactions, we derive the governing equations and the numerical equations describing the dynamics of the system, using a variational principle. Following the developed generalized equations, a four-mode approximation model is proposed with which an experimental case example is studied. Numerical calculation and spectrum analysis demonstrate that an external excitation with sufficient large amplitude and high frequency can produce gravity water waves with lower frequencies. The excitation magnitude and frequencies required for onset of the gravity waves are found based on the model. Transitions betweendifferent gravity waves are also revealed through the numerical analysis. The findings developed by this method are validated by available experimental observations.
机译:在储水圆柱壳的实验中,在足够大的振幅和高频的水平外力作用下,已经观察到可能会产生低频的重力水波。本文旨在对此现象进行研究,以揭示其机理。考虑到非线性的流体-结构相互作用,我们采用变分原理推导了描述系统动力学的控制方程和数值方程。根据所发展的广义方程,提出了一种四模式近似模型,并用该模型研究了一个实验案例。数值计算和频谱分析表明,具有足够大的振幅和高频的外部激励可以产生低频的重力水波。基于该模型找到了引力波发生所需的激励幅度和频率。通过数值分析还揭示了不同重力波之间的过渡。通过此方法得出的发现已通过可用的实验观察得到验证。

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