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An energy flow model for high-frequency vibration analysis of two-dimensional panels in supersonic airflow

机译：超音速气流中二维面板高频振动分析的能量流模型

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Many energy flow models have been proposed for high-frequency forced vibration analysis of structures. In this paper, a novel energy flow model is developed to predict the high frequency vibration response of panels in supersonic airflow and quantify the effects of supersonic airflow on high-frequency forced vibration characteristics. The additional damping due to supersonic airflow is derived from the motion equation of a two-dimensional panel. The relationship between the wavenumber and the group velocity is introduced to describe the energy transmission property considering the effects of supersonic airflow. Then the energy density governing equation (i.e. energy flow model) is established and solved by the energy flow analysis (EFA) and the energy finite element method (EFEM). Finally, comparing the vibration responses obtained by the present energy flow model with the corresponding exact analytical solutions, the developed energy flow model is verified to be effective for high-frequency vibration analysis of panels in supersonic airflow. Furthermore, the numerical simulations indicate that supersonic airflow can affect the equivalent damping of the propagating elastic waves, and thus change the energy density distribution of the panel. (C) 2019 Elsevier Inc. All rights reserved.
机译：已经提出了许多能量流模型用于结构的高频强制振动分析。在本文中，开发了一种新的能量流模型来预测面板在超声速气流中的高频振动响应，并量化超声速气流对高频强制振动特性的影响。超音速气流带来的额外阻尼是从二维面板的运动方程得出的。引入波数与群速度之间的关系，以描述考虑超音速气流影响的能量传输特性。然后通过能量流分析（EFA）和能量有限元方法（EFEM）建立并求解能量密度控制方程（即能量流模型）。最后，将当前能量流模型获得的振动响应与相应的精确解析解进行比较，验证了所开发的能量流模型对于超声速气流中面板的高频振动分析是有效的。此外，数值模拟表明，超音速气流会影响正在传播的弹性波的等效阻尼，从而改变面板的能量密度分布。 （C）2019 Elsevier Inc.保留所有权利。

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