Discrete singular convolution (DSC) algorithm is an accurate dynamic analysis method for single structures. However, vibration analysis of connected structures via the DSC method is limited to step beams and plates. This paper extends the applicability of the DSC method in handling acoustic transmission lines composed of several duct elements with different diameter ratios. Connections of elements are handled by setting up continuity equations at geometric discontinuities. Conformity of DSC equations at these connections is carried out using Taylor series expansion. In this study, natural frequencies, mode shapes and power transmission coefficients of acoustic transmission lines are performed to test the proposed DSC implementation. Power transmission coefficients are obtained through the two-load method using the data provided by the DSC approach. The results are compared with finite element method and analytical solutions (if applicable), and the analytical transfer matrix method is also used for validating the power transmission coefficients. This paper shows that the DSC method is accurate and reliable, and so applicable for acoustic transmission line analysis.

离散奇异卷积（DSC）算法是一种针对单个结构的精确动态分析方法。但是，通过DSC方法对连接结构进行振动分析仅限于阶梯梁和平板。本文扩展了DSC方法在处理由几个具有不同直径比的管道元件组成的声传输线中的适用性。通过建立几何不连续处的连续性方程来处理元素的连接。这些连接处的DSC方程的一致性是使用泰勒级数展开进行的。在这项研究中，通过执行声学传输线的固有频率，模式形状和功率传输系数来测试建议的DSC实现。使用DSC方法提供的数据通过两次负载方法获得功率传输系数。将结果与有限元方法和解析解（如果适用）进行比较，并且分析传递矩阵法也可用于验证功率传输系数。本文表明DSC方法准确可靠，适用于声传输线分析。