Equivalent circuit analysis is a powerful tool for analysing acoustic systems where a lumped element model is valid. These equivalent circuits allow an overall impedance of the structure to be estimated which facilitates predictions of the reflectivity, transmissibility and/or absorptivity of the system. Complex acoustic systems are represented by non-planar equivalent circuits which are challenging to simplify to a single overall impedance value using traditional Kirchoff’s Law simplifications. A two-point impedance method using graph theory allows the impedance of a circuit to be estimated without simplification. The graph theory method is applied to a type of acoustic absorber structure named SeMSA (Segmented Membrane Sound Absorber) which had previously been investigated for a two-segment cell design. This method allows the SeMSA analysis to be expanded to multi-sector designs with a wider parameter space. A local optimisation routine is applied to the graph theory impedance estimation to maximise acoustic absorption of SeMSA under consideration of absorber depth, causal optimality and the targeted noise spectra. Analytical predictions are validated using numerical simulations. The optimised multi-sector absorber demonstrates 70.5% white noise absorption in the 20–4500 Hz frequency range with an absorber depth of 16 mm and is just 0.5 mm from the theoretical minimum depth to achieve this absorption response.

等效电路分析是用于分析集总单元模型有效的声学系统的强大工具。这些等效电路允许估计结构的总阻抗，这有助于预测系统的反射率，透射率和/或吸收率。复杂的声学系统由非平面等效电路表示，要使用传统的基尔霍夫定律简化来简化为单个总阻抗值是一项挑战。使用图论的两点阻抗方法允许在不简化的情况下估计电路的阻抗。图论方法被应用于一种名为SeMSA（分段膜吸声器）的吸声结构，该结构先前已被研究用于两段隔室的设计。这种方法可以将SeMSA分析扩展到具有更宽参数空间的多部门设计。在考虑吸收体深度，因果最佳性和目标噪声谱的情况下，将局部优化程序应用于图论阻抗估计，以最大化SeMSA的声吸收。分析预测已使用数值模拟进行了验证。经过优化的多扇区吸收器在20–4500 Hz频率范围内具有70.5％的白噪声吸收，吸收器深度为16 mm，距离理论最小深度仅0.5 mm，以实现这种吸收响应。因果最优性和目标噪声谱。分析预测已使用数值模拟进行了验证。经过优化的多扇区吸收器在20–4500 Hz频率范围内具有70.5％的白噪声吸收，吸收器深度为16 mm，距离理论最小深度仅0.5 mm，以实现这种吸收响应。因果最优性和目标噪声谱。分析预测已使用数值模拟进行了验证。经过优化的多扇区吸收器在20–4500 Hz频率范围内具有70.5％的白噪声吸收，吸收器深度为16 mm，距离理论最小深度仅0.5 mm，以实现这种吸收响应。