基于周期理论和COMSOL PDE的排桩减振特性研究  

Ambient vibration attenuation by periodic pile barriers using periodic theory and COMSOL PDE method

作　　者：孟庆娟 石志飞[1] MENG Qing-juan;SHI Zhi-fei(School of Civil Engineering,Beijing Jiaotong University,Beijing 100044,China;School of Civil Engineering,Tangshan University,Tangshan,Hebei 063000,China)

机构地区：[1]北京交通大学土木建筑工程学院,北京100044 [2]唐山学院土木工程学院,河北唐山063000

出　　处：《岩土力学》2018年第11期4251-4260,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金资助项目(No.51678046)~~

摘　　要：基于周期理论和COMSOL PDE有限元法,研究了排桩的衰减域(attenuation zone,简称AZ),讨论了相关参数对衰减域的影响;针对实测环境振动设计了具体的排桩结构,并对该排桩的减振特性在频域和时域内分别进行了数值模拟。研究结果表明:周期理论可以用于揭示排桩的动力特性,为排桩结构在环境减振中的应用提供新思路;基于控制方程建模的COMSOL PDE有限元法,不仅能够用于周期结构的衰减域计算,还可用于周期结构的频域和时域响应分析。In the present work, a numerical study is presented to solve the problem of ambient vibration isolation using piles as wave barriers. Based on the periodic theory of solid-state physics and finite element method, the attenuation zones of rows of pile barriers are studied. The governing equations and boundary conditions are formulated as coefficient forms of partial differential equations（PDE）, and solved by the aid of COMSOL PDE interface. First, the influences of some related parameters, such as physical parameters of soils and pile configurations on the attenuation zone are thoroughly discussed. Second, a periodic pile-soil system accounting for a practical ambient vibration is designed and the isolation effectiveness is numerically simulated both in frequency domain and in time domain. Results indicate that the periodic theory can be used to reveal the dynamic performances of pile barriers, which opens a new window for the application of pile barriers in ambient vibration attenuation; the equation-based modelling COMSOL PDE method can be used not only to calculate the attention zone of periodic structures, but also to analyze the responses of finite periodic structures both in frequency domain and in time domain.

关 键 词：周期排桩 COMSOL PDE 衰减域 环境减振 

分 类 号：O328[理学—一般力学与力学基础]