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旨在建立通用且适定的宽频阻抗模型用于时域数值模拟计算。基于扩展的Helmholtz共振腔阻抗模型,通过引入共轭复数极点-残值对有理分式组合的方式,提出了一种新型多自由度宽频阻抗模型,并证明了该模型的适定性。频域内阻抗边界条件通过傅里叶反变换的方法转换为宽频时域阻抗边界条件,时域模拟采用递推算法快速实现。分别采用二维和三维标准问题对该宽频阻抗模型及相应的时域边界条件进行校核,数值解和参考解一致。研究结果表明所提出的多自由度阻抗模型能够描述声衬宽频特性,相应的宽频时域阻抗边界条件可以精确预测宽频阻抗表面声传播问题。
The purpose is to establish a universal and well-defined broadband impedance model for time-domain numerical simulation. Based on the extended Helmholtz cavity impedance model, a new type of multi-degree-of-freedom broadband impedance model is proposed by introducing the conjugate complex pole-residue combination of rational fractions. The model is also proved to be suitable. The impedance boundary conditions in the frequency domain are transformed into the boundary conditions of the broadband time-domain impedance by the inverse Fourier transform method, and the time-domain simulation is implemented rapidly by the recursive algorithm. The two-dimensional and three-dimensional standard problems were respectively used to check the broadband impedance model and the corresponding time-domain boundary conditions. The numerical solutions are consistent with the reference solutions. The results show that the proposed multi-degree-of-freedom impedance model can describe the broadband characteristics of the acoustic lining, and the corresponding boundary conditions of broadband time-domain impedance can accurately predict the surface acoustic propagation of broadband impedance.