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湍流激励下简支平板振动特性的解析法研究
引用本文:陈美霞,罗琦,魏建辉.湍流激励下简支平板振动特性的解析法研究[J].船舶力学,2016,20(4):487-496.
作者姓名:陈美霞  罗琦  魏建辉
作者单位:华中科技大学 船舶与海洋工程学院,武汉,430074;华中科技大学 船舶与海洋工程学院,武汉,430074;华中科技大学 船舶与海洋工程学院,武汉,430074
基金项目:国家自然科学基金资助项目(51179071);中央高校基本科研业务费资助,HUST(2012QN056)
摘    要: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。

关 键 词:湍流边界层  随机激励理论  平板振动特性  解析法

Analytical method for calculating the vibration characteristics of simple-supported plate excited by turbulent boundary layer
CHEN Mei-xia,LUO Qi,WEI Jian-hui.Analytical method for calculating the vibration characteristics of simple-supported plate excited by turbulent boundary layer[J].Journal of Ship Mechanics,2016,20(4):487-496.
Authors:CHEN Mei-xia  LUO Qi  WEI Jian-hui
Institution:CHEN Mei-xia;LUO Qi;WEI Jian-hui;College of Naval Architecture and Ocean Engineering,Huazhong University of Science and Technology;
Abstract:An analytical method based on random excitation theory, the power spectra density expression of the excitation caused by turbulent boundary layer given by Corcos as input, combined with the frequen-cy response function considering fluid-structure interaction, the power spectral density of the plate veloci-ty is calculated. The calculated results are in good agreement with references, proving the correctness of the analytical method. The research results show that the vibration characteristics of the plate excited by turbulent boundary layer reflects the inherent characteristics of the plate itself; the mean square spectral density of the plate’s velocity becomes higher as the stream velocity becomes higher.
Keywords:turbulent boundary layer  random excitation theory  vibration characteristic  analytical method
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