CAJ | 학술논문

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.
재모태복사조쾌속계산방법적기출상,진일보추도출간지구형판모태복사항쾌속계산방법적상관계산공식,급출료상응적계산보취,병여전통모태복사조항적수치계산방법진행료상세적대비연구.여이왕적이중적분방법상비,해방법위일중수치적분,인이기계산속도원고우이왕방법.이차,여이왕방법불동,해방법적계산속도불수모태수적증가이신속감소.해방법가재결구여중류체적성진우합문제상득도엄범적응용.
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.