一般边界条件下功能梯度板流激振动声辐射研究  

Flow⁃induced vibration and sound radiation of the functionally graded plates with general boundary conditions

作　　者：宋晓济 靳国永[1] 叶天贵 SONG Xiao-ji;JIN Guo-yong;YE Tian-gui(College of Power and Energy Engineering,Harbin Engineering University,Harbin 150001,China)

机构地区：[1]哈尔滨工程大学动力与能源工程学院,黑龙江哈尔滨150001

出　　处：《振动工程学报》2024年第7期1221-1229,共9页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(52225109,52241101,52271309)。

摘　　要：为了研究嵌于无限大障板中的功能梯度板在湍流激励下的振动声学特性,基于湍流边界层壁面脉动压力互功率谱密度函数、切比雪夫谱方法、瑞利积分以及流体与结构耦合面的连续性条件,通过能量法建立了一般边界条件下功能梯度板的流激声振耦合模型。该模型能够精确预测功能梯度板在湍流激励下的振动及声辐射响应,与解析解和试验值的吻合验证了算法的准确性。对一般边界条件和梯度指数的研究表明:边界弹簧刚度较大时,功能梯度板在低频具有较低的流激声振响应,而高频时的辐射声压有所升高。随着梯度指数的增大,流激振动及其辐射声压的峰值频率逐渐增大,而峰值频率对应的响应值减小。To investigate the vibration and acoustic properties of the baffled functional gradient plates with general boundary condi⁃tions under turbulent excitation,a vibro-acoustic coupling model of the functional gradient plate under turbulent boundary layer wall pressure fluctuation is developed by the energy method based on the turbulent pressure fluctuation cross-spectral density,Cheby⁃shev spectral method,Rayleigh integral and the continuity condition of the fluid-structure coupling surface.The accuracy of the al⁃gorithm is verified by the agreement with the analytical solution and experimental results.The effects of the general boundary condi⁃tion and the gradient index of the FGM plate are studied.It can be noted that when the stiffness of the boundary spring is in a cer⁃tain range,the peak frequencies of the flow-induced acceleration level and sound pressure level increase with the rise of the spring stiffness.When the stiffness of the boundary spring is large,low vibration and radiated sound exist at low frequency,while the radi⁃ated sound pressure is high at high frequency.As the gradient index increases,the peak frequency increases gradually,but the peak responses of the acceleration level and sound pressure level decrease.

关 键 词：功能梯度板 流激振动 流激噪声 一般边界条件 

分 类 号：U661.44[交通运输工程—船舶及航道工程] O357.4[交通运输工程—船舶与海洋工程]