ANALYSIS OF THE PROPAGATION OF PLANE ACOUSTIC-WAVES IN PASSIVE PERIODIC MATERIALS USING THE FINITE-ELEMENT METHOD
ANALYSIS OF THE PROPAGATION OF PLANE ACOUSTIC-WAVES IN PASSIVE PERIODIC MATERIALS USING THE FINITE-ELEMENT METHOD
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DOI：
10.1121/1.413244
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发表时间：
1995-11-01
影响因子：
2.4
通讯作者：
DECARPIGNY, JN
中科院分区：
文献类型：
--
作者：
LANGLET, P;HLADKYHENNION, AC;DECARPIGNY, JN
有限元方法以前曾在 ATILA 代码的帮助下用于模拟单周期或双周期无源结构的声波散射 [A. C. Hladky-Hennion 等人，J. Acoust。秒。是。 90, 3356-3367 (1991)]。本文提出了该技术的新扩展，可无损耗地分析平面声波在被动周期材料中的传播，并特别强调其在包含不同类型夹杂物的双周期材料中的应用。在所提出的方法中，由于 Bloch-Floquet 关系，仅需要对周期性材料的晶胞进行网格划分。这些材料的建模提供了色散曲线，从中可以轻松提取物理感兴趣的结果：传播模式、截止频率、通带、阻带以及有效均匀特性的识别。在本文中，首先描述了一般方法，特别是与周期性相关的方面。然后给出了一个测试实例，并给出了分析结果。该示例后面详细介绍了包含夹杂物或圆柱形孔的周期性材料的有限元结果。多孔材料的均匀特性是在大波长限制下借助各向异性模型确定的。已使用周期性穿孔板进行了验证，并测量了其共振频率。由此清楚地证明了该方法的效率和多功能性。 (C) 1995 年美国声学学会。
The finite element approach has been previously used, with the help of the ATILA code, to model the scattering of acoustic waves by single or doubly periodic passive structures [A. C. Hladky-Hennion et al., J. Acoust. Sec. Am. 90, 3356-3367 (1991)]. This paper presents a new extension of this technique to the analysis of the propagation of plane acoustic waves in passive periodic materials without losses and describes with particular emphasis its application to doubly periodic materials containing different types of inclusions. In the proposed approach, only the unit cell of the periodic material has to be meshed, thanks to Bloch-Floquet relations. The modeling of these materials provides dispersion curves from which results of physical interest can be easily extracted: identification of propagation modes, cutoff frequencies, passbands, stopbands, as well as effective homogeneous properties. In this paper, the general method is first described, and particularly the aspects related to the periodicity. Then a test example is given for which analytical results exist. This example is followed by detailed presentations of finite element results, in the case of periodic materials containing inclusions or cylindrical pores. The homogenized properties of porous materials are determined with the help of an anisotropic model, in the large wavelength limit. A validation has been carried out with periodically perforated plates, the resonance frequencies of which have been measured. The efficiency and the versatility of the method is thus clearly demonstrated. (C) 1995 Acoustical Society of America.