考虑阻尼的周期结构的动力特性分析

发布时间：2018-05-27 22:40

本文选题：周期结构 + 衰减域　；参考：《北京交通大学》2017年硕士论文

【摘要】：本文基于固体物理学中的周期理论,研究了土木工程中层状和排桩周期结构考虑阻尼时的动力特性。首先,采用平面波展开法计算了考虑阻尼的周期结构的复频散曲线。然后,用有限元软件COMSOL进行数值模拟,分析了 SV波和P波在考虑阻尼的周期结构中的传播特性。本文主要研究内容如下:1、采用平面波展开法计算了考虑阻尼的一维层状周期结构的复频散曲线,计算结果表明,阻尼的引入增大了结构的衰减系数。2、对本文给出的一种一维层状周期结构,用有限元法分析了其动力特性,数值结果表明,粘性阻尼会增强结构的衰减作用。3、采用平面波展开法,计算了考虑阻尼的二维排桩周期结构的复频散曲线,发现阻尼的引入会增大结构的衰减系数并导致简并态处的复频散曲线的分离。4、用有限元法模拟了二维排桩周期结构的动力特性,结果表明,考虑粘性阻尼时,周期结构的衰减效果更好。
[Abstract]:Based on the periodic theory in solid state physics, the dynamic characteristics of layered and pile-lined periodic structures considering damping in civil engineering are studied in this paper. Firstly, the complex dispersion curves of periodic structures with damping are calculated by plane wave expansion method. Then, the propagation characteristics of SV wave and P wave in periodic structure with damping are analyzed by using finite element software COMSOL. The main contents of this paper are as follows: 1. The complex dispersion curves of one-dimensional layered periodic structures with damping are calculated by using the plane wave expansion method. The results show that, The damping increases the attenuation coefficient of the structure. The finite element method is used to analyze the dynamic characteristics of a one-dimensional layered periodic structure, and the numerical results show that, Viscous damping can enhance the attenuation of the structure. By using the plane wave expansion method, the complex dispersion curve of a two-dimensional pile-lined periodic structure with damping is calculated. It is found that the introduction of damping increases the attenuation coefficient of the structure and results in the separation of the complex dispersion curve at the simple state. The finite element method is used to simulate the dynamic characteristics of the two-dimensional pile-lined periodic structure. The results show that when viscous damping is considered, the dynamic characteristics of the two-dimensional pile-lined periodic structure are simulated by the finite element method. The attenuation effect of periodic structure is better.
【学位授予单位】：北京交通大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：TU311.3

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