| 求解粘弹性饱和土隧道频域响应的DQEM |
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| 引用本文： | 王园园,刘涛,朱媛媛,沈涤.求解粘弹性饱和土隧道频域响应的DQEM[J].上海师范大学学报(自然科学版),2016,45(1):7-15. |
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| 作者姓名： | 王园园 刘涛 朱媛媛 沈涤 |
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| 作者单位： | 上海师范大学,上海师范大学,上海师范大学,上海师范大学 |
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| 基金项目： | 上海市自然科学基金(15ZR1431600);上海师范大学创新团队发展计划(DXL125) |
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| 摘 要： | 用微分求积单元法研究了粘弹性饱和土隧道的频域响应问题.首先,基于饱和多孔介质混合物理论,分别建立了频域内隧道耦合系统中粘弹性饱和土和粘弹性衬砌的控制方程,给出了耦合系统的边界条件以及饱和土和衬砌连接面上满足的连接条件.其次,发展了求解该耦合系统的微分求积单元法,利用微分求积单元法,在频率域内对耦合系统的数学模型进行了离散,并利用Newton-Raphson迭代法得到了系统的数值解.最后,对耦合系统的频域响应进行了分析,考察了参数的影响,同时也验证了数值方法的有效性.
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| 关 键 词： | 衬砌耦合系统 多孔介质理论(PMT) 微分求积单元法(DQEM) 频域响应 |
| 收稿时间： | 2014/11/6 0:00:00 |
The dqem for solving frequency responses of tunnel in viscoelastic saturated soil |
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| WANG Yuanyuan,LIU Tao,ZHU Yuanyuan and SHEN Di.The dqem for solving frequency responses of tunnel in viscoelastic saturated soil[J].Journal of Shanghai Normal University(Natural Sciences),2016,45(1):7-15. |
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| Authors: | WANG Yuanyuan LIU Tao ZHU Yuanyuan and SHEN Di |
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| Institution: | College of Information,Mechanical and Electrical Engineering,Shanghai Normal University,College of Information,Mechanical and Electrical Engineering,Shanghai Normal University,College of Information,Mechanical and Electrical Engineering,Shanghai Normal University and College of Information,Mechanical and Electrical Engineering,Shanghai Normal University |
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| Abstract: | The frequency responses of tunnel in viscoelastic saturated soil are studied using the differential quadrature element method.Firstly,based on the porous media theory,the governing equations of viscoelastic saturated soil-lining coupled system in deep circular tunnel on the frequency domain are presented,and the corresponding boundary conditions as well as the joint conditions are derived.Then,the differential quadrature element method is developed and applied to discretize the mathematical model of the coupled system,and the Newton-Raphson method is adopted to solve the discretization equations.Finally,the frequency responses of the coupled system are analyzed,the effects of the parameters are considered,and the validity of the numerical method is verified. |
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| Keywords: | tunnel viscoelastic saturated soil-lining coupled system porous media theory (PMT) differential quadrature element method (DQEM) frequency response |
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