基于SBFEM的层状地基埋置管道动力响应求解与分析  

Solution and analysis of dynamic response for rigid buried pipe in multi-layered soil based on SBFEM

作　　者：张海廷 杨林青 郭芳 ZHANG Hai-ting;YANG Lin-qing;GUO Fang(Henan Vocational College of Water Conservancy and Environment, Zhengzhou, Henan 450008, China;School of Architectural Engineering, Tianhe College of Guangdong Polytechnic Normal University, Guangzhou, Guangdong 510540, China;Henan Vocational College of Agriculture, Zhongmou, Henan 451450, China)

机构地区：[1]河南水利与环境职业学院,河南郑州450008 [2]广东技术师范大学天河学院建筑工程学院,广东广州510540 [3]河南农业职业学院,河南中牟451450

出　　处：《岩土力学》2019年第7期2713-2722,共10页Rock and Soil Mechanics

基　　金：国家自然科学基金资助(No.51508203);中央高校基本科研业务费专项资金资助(No.2018MS61)~~

摘　　要：针对层状地基,采用改进的比例边界有限元算法(SBFEM)与有限元算法相结合,求解层状地基内刚性埋置管道动力响应问题。改进的比例边界有限元算法引入一个新的坐标变换关系,以一条相似轴代替传统SBFEM的相似中心,并利用加权余量方法得到层状地基动力刚度矩阵方程,最后与有限元法在远场和近场交界面进行耦合,由此求得层状地基埋置管道的动力响应。数值算例验证了算法的准确性,并利用该算法分析了层状地基的非均质特性、泊松比以及埋置深度对管道动力响应的影响,以期为工程实际提供必要的数值依据。结果表明:地基的非均质特性和泊松比对埋置管道的动力响应均有显著的影响;随着埋置深度的加大,管道在相同荷载作用下的动力响应均减小。In this paper, an improved scaled boundary finite element method(SBFEM) is used to solve the dynamic response of rigid buried pipe in multi-layered soil combined with finite element method. A new coordinate transformation relation is introduced into the improved SBFEM, with a similar line instead of the similar center in traditional SBFEM. Then the dynamic stiffness matrix equation can be obtained by using weighted residual method for multi-layered soil. Finally, the dynamic stiffness matrix is coupled with finite element method at the boundary between the near field and far field to solve the dynamic response for rigid buried pipe in multi-layered soil. The comparison with an existing solution validates the accuracy of the proposed method. And the influence of heterogeneity characteristic of layered soil, Poisson’s ratio and buried depth on the dynamic response of the buried pipe is further investigated through a parametric analysis which provides the necessary numerical basis for the engineering practice. As the results show, the heterogeneity characteristic of layered soil and Poisson’s ratio have significant influence on the dynamic response of the buried pipeline. With the increase of the buried depth, the dynamic response of the pipeline under the same load decreases.

关 键 词：比例边界有限元 层状地基 加权余量方法 动力刚度 埋置管道 

分 类 号：TU81[建筑科学]