基于三阶剪切形变理论的复合层合矩形板水下声辐射研究

以简化的三阶剪切形变理论为基础，由虚功原理建立了较厚复合层合矩形板水下振动与声辐射方程，通过Rayleigh-Ritz法求解系统方程。为了验证所给方法的正确性将计算结果与有限元法计算结果进行对比，并将三阶剪切形变理论（TSDT）所得声辐射解与一阶剪切形变理论（FSDT）计算结果进行对比，指出前者在计算复合层合板声辐射上的优势。最后通过改变杨氏模量，剪切模量，铺层厚度，纤维铺设角等参数，指出影响复合层合板声辐射的主要因素和分频段变化规律，可为水下典型结构声辐射预报和噪声控制提供参考。

Sound radiation of underwater laminated composited rectangular plate using higher order shear deformation theory

Based on the simplified Third Order Shear Deformation Theory (TSDT), the vibration and sound radiation of moderate laminated composite rectangular plate were deduced, and the system motion equation was solved by Rayleigh-Ritz method. In order to validate the proposed method, the result was compared with the finite element method, and the advantage of calculating sound radiation was shown by comparing TSDT with FSDT. And by changing the Young’ modulus, shear modulus, lamina thickness, fiber orientation an-gle, the main parameter and the variation in different frequency band were obtained, which could be a ref-erence for underwater typical structure sound radiation and noise control.