二维弧形一致黏弹性边界单元适用性问题研究  

Applicability of 2D Arc Consistent Viscoelastic Boundary Element

作　　者：叶丹 周建庭[2] 尹尚之 YE Dan;ZHOU Jianting;YIN Shangzhi(School of Tourism and Serivice Management,Chongqing University of Education,Chongqing 400065,China;School of Civil Engineering&Architecture,Chongqing Jiaotong University,Chongqing 400074,China;Central South Branch of the Third Construction Co.,Ltd.,of China Construction Fifth Engineering Bureau,Changsha 410000,Hunan,China)

机构地区：[1]重庆第二师范学院旅游与服务管理学院,重庆400065 [2]重庆交通大学土木建筑学院,重庆400074 [3]中建五局第三建设有限公司中南分公司,湖南长沙410000

出　　处：《重庆交通大学学报（自然科学版）》2022年第9期83-88,共6页Journal of Chongqing Jiaotong University(Natural Science)

基　　金：重庆市教育委员会科学技术研究计划项目(KJQN202001603,KJQN202101606,KJQN201901603);重庆市自然科学基金(cstc2020jc-yjbshX0118)。

摘　　要：基于黏弹性人工边界单元理论,改变了传统的平直人工边界,提出一种采用二维弧形一致黏弹性边界单元模拟半无限域人工边界的全新思路。通过算例,详细介绍了其建立思路及其在有限元软件中设置的具体流程,并对二维弧形一致黏弹性边界单元模型的可靠性进行验算;同时,深入讨论了输入震源频域、介质的弹性常数和单元厚度对计算结果的影响,并给出了二维弧形一致黏弹性边界单元的适用范围。结果表明,该单元的精度和稳定性均优于普通黏弹性边界单元,而且其使用起来更为简便。Based on the viscoelastic artificial boundary element theory,the traditional straight artificial boundary was changed,and a new idea of using 2D arc consistent viscoelastic boundary element to simulate the artificial boundary of semi-infinite domain was proposed.Through case study,the establishment idea and the specific process set in the finite element software were introduced in detail,and the reliability of the 2D arc consistent viscoelastic boundary element model was checked.Meanwhile,the effects of the input source frequency domain,the elastic constants of the medium and the thickness of the element on the calculation results were discussed in depth,and the application range of the 2D arc consistent viscoelastic boundary element was given.The results show that the proposed element has better accuracy and stability than the common viscoelastic boundary element,which is simpler to use.

关 键 词：隧道工程 数值模拟 弧形一致黏弹性边界 震源频率 弹性波速 单元厚度 

分 类 号：U231[交通运输工程—道路与铁道工程] U453.2[建筑科学—桥梁与隧道工程]