基于声子晶体理论的饱和地基上周期性高架桥与隧道结构振动特性研究

项目名称： 基于声子晶体理论的饱和地基上周期性高架桥与隧道结构振动特性研究

项目编号： No.51269021

项目类型： 地区科学基金项目

立项/批准年度： 2013

项目学科： 水利工程

项目作者： 徐斌

作者单位： 南昌工程学院

项目金额： 50万元

中文摘要： 项目基于声子晶体理论及饱和土体理论，从周期结构振动能量带计算、移动荷载引起周期结构振动与传播等方面，开展周期性高架桥与隧道结构振动特性分析，主要包括：利用桩-土共同作用及传递矩阵法，建立饱和土体上"开放式"周期性高架桥结构平面外、平面内振动能量带计算模型；采用有限元-边界元法，建立周期性隧道-土层能量带与谐波激励下禁带、通带内位移响应计算模型；引入Floquet变换，建立移动荷载与周期性高架桥、隧道结构相互作用以及周期性多根多排桩隔振数值模型；结合解析函数法与BEM-FEM，分析饱和地基中隧道结构对Rayleigh波场散射效应等。主要研究目标是：分析基本元与软土地基耦合振动及其物理性质等对能量带分布的影响，揭示周期性结构能量带产生机理。考察移动荷载对周期结构及周边环境振动影响规律以及排桩隔振效果。为饱和软土地基上高架桥、隧道等周期结构抗震设计、隔振减振控制等提供一种新的理论基础与工程指导。

中文关键词： 周期性高架桥；传递矩阵；Bloch理论；晶格波；比例边界有限元法

英文摘要： Based on the theory of the phononic crystal and the saturated soil dynamic theory, the vibration characteristics of the periodic viaduct and tunnel in the saturated soil are analyzed from the calculation the vibration energy band of the periodic structure, the vibration and wave propagation of the periodic structure due to a moving load. Mainly include the several aspects below: using the transfer matrix method and the coupling vibration between the pile and soft foundations, a numerical model for analysis of the energy band of an "open"-type periodic viaduct in out-of-plane or in-plane vibration is developed. The energy band of the periodic tunnel-soil is computed and harmonic analysis of the displacement responses within the pass bands and band gaps of the periodic structure are investigated with the FEM/BEM method. By using the Floquet transform method, the mathematics model of the dynamic responses of the periodic viaduct and the tunnel under moving loads is established and the numerical solution of the vibration isolation via multiple pile rows is given. The scattering effect of a tunnel embedded in the homogeneous or layered saturated soil during propagation of Rayleigh wave is studied using the analytical function and BEM-FEM method. The purposes of this project are to discuss the rules and effects of the

英文关键词： periodic viaduct;；transfer matrix；Bloch theorem；lattice waves；the scaled boundary finite-element method