Sü Gül Zühre, Odabaş Erinç, Xiang Ning, Çalışkan Mehmet
Department of Architecture, Bilkent University, Ankara, 06800, Turkey.
MEZZO Stüdyo Ltd, Ankara, 06800, Turkey.
J Acoust Soc Am. 2019 Apr;145(4):2703. doi: 10.1121/1.5095877.
This study investigates reliable models and methods to be applied in sound field analysis of multi-domain structures. The case structures are two monuments, namely, Süleymaniye Mosque and Hagia Sophia in İstanbul. These are both multi-volume spaces with many smaller sub-volumes coupled to each other by coupling apertures in form of arches. A key concern of the study is to examine energy flow decays and understand the mechanism of multi-slope sound energy decays. The methodology involves diffusion equation model (DEM) application in a finite-element scheme for sound energy flow analysis. Energy flow decays, energy flow dips, and spatial flow vectors are examined for single versus multi-domain DEM solutions. It is concluded that specification of different domains with individual diffusion coefficients is a critical setting such that, if not assigned correctly, may mislead the results. The energy flow vector analysis has enabled us to comprehend the architectural features in relation to such energy flow decay dip occurrence. The computational efficiency of DEM is also discussed. The DEM application in this study has proved to be a powerful and practical method in room acoustics applications, specifically for multi-rate decay investigations.
本研究探讨了适用于多域结构声场分析的可靠模型和方法。案例结构为两座纪念碑，即伊斯坦布尔的苏莱曼尼耶清真寺和圣索菲亚大教堂。它们都是多空间结构，有许多较小的子空间通过拱形耦合孔相互连接。该研究的一个关键关注点是研究能量流衰减，并理解多斜率声能衰减的机制。该方法涉及在有限元方案中应用扩散方程模型（DEM）进行声能流分析。针对单域与多域DEM解，研究了能量流衰减、能量流低谷和空间流向量。得出的结论是，为不同域指定各自的扩散系数是一个关键设置，若指定不正确，可能会误导结果。能量流向量分析使我们能够理解与这种能量流衰减低谷出现相关的建筑特征。还讨论了DEM的计算效率。本研究中的DEM应用已被证明是室内声学应用中一种强大且实用的方法，特别是对于多速率衰减研究。
