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解析法基于随机激励理论,采用湍流脉动压力的Corcos模型作为输入,结合考虑流固耦合时平板的频响函数,求解得到平板振动速度的自功率谱密度。计算结果同已有文献吻合较好,证明了解析法的正确性。同时研究结果表明:湍流激励下平板的振动特性体现了平板本身的固有特性;随着来流速度的增大,平板振速的均方谱密度幅值按一定的数值关系增大。
The analytical method is based on the random excitation theory and the Corcos model of turbulent pulsatile pressure is used as input. The self-power spectral density of plate vibration velocity is obtained by considering the frequency response function of the plate when the fluid-structure interaction is considered. The calculation results are in good agreement with the existing literature, which proves the correctness of the analytical method. At the same time, the results show that the vibration characteristics of the plate under turbulent excitation reflect the intrinsic properties of the plate itself. With the increase of the velocity, the mean square spectral density of the plate vibration increases in a certain numerical relationship.