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为了研究正交加筋板的声辐射问题,基于波数域直接求解法,建立了研究正交加筋板声辐射特性的理论模型。先利用傅里叶变换法求解周期结构的声振理论模型,得到波数域中关于结构响应的无限大耦合代数方程组,采用数值方法将其截断成有限项求解,结合稳相法便可快速获得远场辐射声压。该方法对单向和正交加筋板的预测结果与现有文献中的理论结果取得了良好的吻合,验证了理论模型的准确性和可靠性;并进一步通过数值算例研究了作用点位置,加强筋间距及平板厚度对结构声辐射特性的影响。
In order to study the problem of acoustic radiation of orthogonal stiffened plates, a theoretical model for the study of acoustic radiation characteristics of orthogonal stiffened plates was established based on the direct solution of wavenumber domain. Firstly, the Fourier transform method is used to solve the periodic acoustic vibration model and the infinite coupled algebraic equations of the wave-number domain are obtained. The numerical solution of the infinite coupled algebraic equations is obtained by truncating it into finite-element solutions. The steady- Far-field radiation sound pressure. The proposed method is in good agreement with the theoretical results in the existing literature and validates the accuracy and reliability of the theoretical model. The numerical examples are also used to study the effect of the position of the point of action , Stiffener spacing and slab thickness on the structure of the sound radiation characteristics.