选择性滤波声学超材料平板结构研究

项目名称： 选择性滤波声学超材料平板结构研究

项目编号： No.11272104

项目类型： 面上项目

立项/批准年度： 2013

项目学科： 数理科学和化学

项目作者： 谢志民

作者单位： 哈尔滨工业大学

项目金额： 80万元

中文摘要： 声学超材料由于表现出自然界材料不易出现的特异行为而受到国内外广泛关注。它的研究涉及物理、力学、材料等多学科难点问题，对其中科学问题的研究具有重要的理论意义和应用价值。本申请基于振动吸收器原理，研究以橡胶薄膜、集中质量为子结构胞元的声学超材料设计与分析等问题。采用分数阶本构描述薄膜材料阻尼特性、多项式函数表征材料非线性刚度，建立结构动力学分析模型，利用有限元技术并结合试验研究超材料平板结构的振动特性及带隙效应。通过对结构振动光学模式的识别，确定超材料平板工作频率。建立薄膜子结构胞元尺寸及胞元间距与超材料平板振动特性关联关系，对不同类型单层平板组合的多层平板，考虑约束条件及子群分布等因素，研究带隙行为及滤波特性，在此基础上提出多层平板结构设计方法。本研究将揭示薄膜材料粘弹性、预应力、边界约束等因素对声学超材料平板滤波性能的影响规律，为宽频带选择性滤波声学超材料结构设计与应用提供依据。

中文关键词： 声学超材料；带隙；自相似；粘弹性；过滤

英文摘要： The acoustic metamaterial has recently attracted much attention of researchers because of its unusual behavior not readily observed in natural materials. Better understanding of the acoustic metamaterial, in relation to the multi-discipline issues such as in physics, mechanics and materials science, is of great importance for theoretical investigation and engineering applications. Based upon the concept of vibration absorbers, this proposal will study how to design and analyze an acoustic metamaterial structure with many film-mass unit cells. To establish a nonlinear dynamic model for an acoustic metamaterial plane, the damping behavior of the rubber film will be described by a fractional constitutive model, and the nonlinear stiffness will be expressed by the polynomial function of deformation. According to the numerical calculations by using finite element method and the testing results, the vibration properties and band-gap effect will be examined. By identification of the optical mode in vibration, the operation frequency can be determined. To design a single-layer metamaterial-based plane, a correlation will be established between the vibration properties and the dimension of the unit cell, as well as the space between two cells. As for multi-layer plane consisting of various types of single-layers, its ban

英文关键词： acoustic metamaterial；band-gap；self-similar；viscoelastic；filter