基于波数域直接求解法的正交加筋板声辐射研究

Acoustic radiation analysis of orthogonally stiffened panels based on the wavenumber domain direct solution method

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。

To analyze the sound radiation problem of an orthogonally stiffened plate, a theoretical model is developed to investigate sound radiation characteristic of the orthogonally stiffened panels based on the direct solution method in wavenumber domain. Fourier transform method is firstly employed to solve the vibro-acoustic theoretical model of the periodic structure, and then an infinite set of simultaneous algebraic coupled equations about the response of the structure in wavenumber domain is got, which can be numerically calculated by truncating them in a finite range. Finally, the far field radiated sound pressure is determined quickly combined with the stationary phase method. As a result, the validity and feasibility of the present model is performed by comparing the predictions of single and orthogonally stiffened panel with existing results, and perfect agreements are achieved. Furthermore, numerical examples are presented to investigate the effects of the excitation locations, the periodicity spacing and inertia moment of the stiffeners on the sound radiation characteristic of the orthogonally stiffened panel.