简支矩形板模态辐射抗的一种快速计算方法分析  

An analysis of a fast calculation method of modal radiation reactance of a simply-supported rectangular panel

作　　者：沈苏[1] 刘碧龙[1] 李晓东[1] 田静[1] 

机构地区：[1]中国科学院噪声与振动重点实验室(声学研究所),北京100190

出　　处：《声学学报》2010年第2期126-133,共8页Acta Acustica

摘　　要：在模态辐射阻快速计算方法的基础上,进一步推导出简支矩形板模态辐射抗快速计算方法的相关计算公式,给出了相应的计算步骤,并与传统模态辐射阻抗的数值计算方法进行了详细的对比研究。与以往的二重积分方法相比,该方法为一重数值积分,因而其计算速度远高于以往方法。而且,与以往方法不同,该方法的计算速度不随模态数的增加而迅速减小。该方法可在结构与重流体的声振耦合问题上得到广泛的应用。A method to calculate modal radiation reactance of a simply supported rectangular panel and the detailed procedures and formulae of calculation are described in this paper. The method expands an existed approach on a fast evaluating of modal radiation resistance. The proposed method significantly improves calculation speed by reducing one dimension of integral in comparison with the former traditional approach, where the modal radiation impedance is often expressed by a double integral. Furthermore, the current method differs from the former traditional one, since its calculation time doesn＇t increase with the growth of the modal number. This method can be widely applied to the coupling problems of sound and vibration between structures and heavy fluid.

关 键 词：快速计算方法 简支矩形板 辐射阻抗 模态数 数值计算方法 计算速度 积分方法 数值积分 

分 类 号：O422.6[理学—声学]