本文選題：周期結(jié)構(gòu) + 衰減域��； 參考：《北京交通大學(xué)》2017年碩士論文

【摘要】：本文基于固體物理學(xué)中的周期理論,研究了土木工程中層狀和排樁周期結(jié)構(gòu)考慮阻尼時的動力特性。首先,采用平面波展開法計算了考慮阻尼的周期結(jié)構(gòu)的復(fù)頻散曲線。然后,用有限元軟件COMSOL進行數(shù)值模擬,分析了 SV波和P波在考慮阻尼的周期結(jié)構(gòu)中的傳播特性。本文主要研究內(nèi)容如下:1、采用平面波展開法計算了考慮阻尼的一維層狀周期結(jié)構(gòu)的復(fù)頻散曲線,計算結(jié)果表明,阻尼的引入增大了結(jié)構(gòu)的衰減系數(shù)。2、對本文給出的一種一維層狀周期結(jié)構(gòu),用有限元法分析了其動力特性,數(shù)值結(jié)果表明,粘性阻尼會增強結(jié)構(gòu)的衰減作用。3、采用平面波展開法,計算了考慮阻尼的二維排樁周期結(jié)構(gòu)的復(fù)頻散曲線,發(fā)現(xiàn)阻尼的引入會增大結(jié)構(gòu)的衰減系數(shù)并導(dǎo)致簡并態(tài)處的復(fù)頻散曲線的分離。4、用有限元法模擬了二維排樁周期結(jié)構(gòu)的動力特性,結(jié)果表明,考慮粘性阻尼時,周期結(jié)構(gòu)的衰減效果更好。
[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.
【學(xué)位授予單位】：北京交通大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：TU311.3

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本文編號：1944112