Doutres Olivier, Dauchez Nicolas, Génevaux Jean-Michel, Dazel Olivier
Laboratoire d'Acoustique UMR CNRS 6613, Université du Maine, 72095 Le Mans Cedex 9, France.
J Acoust Soc Am. 2007 Oct;122(4):2038-48. doi: 10.1121/1.2769824.
The validity of using the limp model for porous materials is addressed in this paper. The limp model is derived from the poroelastic Biot model assuming that the frame has no bulk stiffness. Being an equivalent fluid model accounting for the motion of the frame, it has fewer limitations than the usual equivalent fluid model assuming a rigid frame. A criterion is proposed to identify the porous materials for which the limp model can be used. It relies on a new parameter, the frame stiffness influence (FSI), based on porous material properties. The critical values of FSI under which the limp model can be used are determined using a one-dimensional analytical modeling for two boundary sets: absorption of a porous layer backed by a rigid wall and radiation of a vibrating plate covered by a porous layer. Compared with other criteria, the criterion associated with FSI provides information in a wider frequency range and can be used for configurations that include vibrating plates.
本文探讨了将松弛模型用于多孔材料的有效性。松弛模型是从多孔弹性比奥模型推导而来的，假设骨架没有体积刚度。作为一种考虑骨架运动的等效流体模型，它比通常假设刚性骨架的等效流体模型具有更少的局限性。提出了一个准则来识别可使用松弛模型的多孔材料。它依赖于一个基于多孔材料特性的新参数，即骨架刚度影响（FSI）。使用一维解析模型针对两组边界条件确定了可使用松弛模型的FSI临界值：刚性壁支撑的多孔层的吸声以及多孔层覆盖的振动板的辐射。与其他准则相比，与FSI相关的准则在更宽的频率范围内提供信息，并且可用于包括振动板的配置。
