力学与实践 ›› 2016, Vol. 38 ›› Issue (1): 63-71.DOI: 10.6052/1000-0879-15-206

• 应用研究 • 上一篇    下一篇

沉管隧道横向动力响应分析的多体动力学方法

申中原1,2, 禹海涛1,3, 袁勇4   

  1. 1. 同济大学地下建筑与工程系, 上海 200092;
    2. 南阳理工学院土木工程学院, 河南南阳 473004;
    3. 同济大学岩土及地下工程教育部重点实验室, 上海 200092;
    4. 同济大学土木工程防灾国家重点实验室, 上海 200092
  • 收稿日期:2015-08-21 修回日期:2015-09-17 出版日期:2016-01-15 发布日期:2015-10-10
  • 通讯作者: 袁勇,教授,博士,博士生导师,主要从事地下结构抗震和防灾减灾研究.E-mail:yuany@tongji.edu.cn
  • 基金资助:

    国家自然科学基金(51208296,51478343),上海市科学技术委员会(13231200503)和中央高校基本科研业务费专项资金(2013KJ095,101201438)资助项目.

MULTIBODY DYNAMICS METHOD FOR TRANSVERSE SEISMIC RESPONSE ANALYSIS OF IMMERSED TUNNELS

Shen Zhongyuan1,2, Yu Haitao1,3, Yuan Yong4   

  1. 1. Department of Geotechnical Engineering, Tongji University, Shanghai 200092, China;
    2. School of Civil Engineering, Nanyang Institute of Technology, Nanyang 473004, Henan, China;
    3. Key Laboratory of Geotechnical and Underground Engineering of Ministry, Tongji University, Shanghai 200092, China;
    4. State Laboratory of Disaster Reduction of Civil Engineering, Tongji University, Shanghai 200092, China
  • Received:2015-08-21 Revised:2015-09-17 Online:2016-01-15 Published:2015-10-10

摘要:

沉管隧道横向地震响应分析是沉管隧道结构抗震设计的重点.根据沉管隧道的结构特点和接头剪力键的节点构造,建立了沉管隧道的多刚体-剪切铰-黏性阻尼铰多体动力学模型,并应用多体动力学中的离散时间传递矩阵法(multibody system discrete time transfer matrix method,MS-DT-TMM)建立了数学模型及表达式,同时编写Matlab程序进行求解实现.设定算例分别采用MS-DT-TMM和传统有限元法(finite element method,FEM)对沉管隧道横向地震响应进行对比分析,两者吻合较好,表明MS-DT-TMM应用于沉管隧道横向动力响应分析的可行性和有效性.

关键词:

沉管隧道|横向地震响应|多体动力学|离散时间传递矩阵法|动力分析

Abstract:

The transverse seismic response analysis of immersed tunnels is the key for the seismic design of immersed tunnel structures. According to the structure characteristics of immersed tunnels and the dynamic shear performance of the joints, a multibody dynamic model composed of the multi-rigid body, the shear hinge, and the viscous damping hinge is proposed for immersed tunnels based on reasonable assumptions. The mathematical models and formulae of each element and the system are deduced based on the discrete time transfer matrix method (MS-DT-TMM) of the multibody dynamics theory. The new method is applied in an example. The results agree well with benchmark simulation results from the finite element method (FEM). This method could provide a rapid seismic analysis for the transverse dynamic response of immersed tunnels.

Key words:

immersed tunnels|seismic response|multibody dynamics|discrete time transfer matrix method|dynamic analysis

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