Dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves |
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| Institution: | 1. Institute of Mineral Resources Engineering, National Taipei University of Technology, Taipei, Taiwan;2. Department of Civil Engineering, National Taiwan University, Taipei, Taiwan;3. Department of Geotechnical Engineering, CECI Engineering Consultants, Inc., Taipei, Taiwan;1. Department of Engineering Mechanics, Shijiazhuang Tiedao University, Shijiazhuang 050043, PR China;2. Institute for Infrastructure Engineering, University of Western Sydney, NSW 2751, Australia;1. College of Civil Engineering, Hunan University, Changsha, Hunan 410082, PR China;2. Department of Civil and Environmental Engineering, Michigan Technological University, Houghton, MI 49931, USA;3. Department of Civil Engineering, University of Southern California, Los Angeles, CA 90089-2531, USA;1. School of Resources and Safety Engineering, Central South University, Changsha, Hunan 410083, People''s Republic of China;2. Post-Doctoral Scientific Research Workstation of Western Mining Co., Ltd, Xining, Qinghai, People''s Republic of China;3. Department of Earth Science and Engineering, Royal School of Mines, Imperial College, London SW7 2AZ, United Kingdom |
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| Abstract: | The analytic solutions for the dynamic response of a circular lined tunnel with an imperfect interface subjected to cylindrical P-waves are presented in the paper. The wave function expansion method was used and the imperfect interface was modeled with a spring model. The interface separating the liner from the surrounding rock was considered to be homogeneous imperfect. The dynamic stress concentration factors (DSCF) of the rock and liner were evaluated and discussed. The effects of incident wave’s frequency, bonding conditions and distance between the wave source and the tunnel were examined. The results showed that the low-frequency incident wave leads to a higher DSCF than the high-frequency incident wave. The bonding conditions have a great effect on the dynamic response of the lined tunnel. When the bond is extremely weak, the resonance scattering phenomenon can be observed. When the distance between the wave source and the tunnel, depending on frequency of the incident wave, is considered as large, the cylindrical wave can be treated as a plane wave. Limiting cases were considered and good agreement with the solutions available in the literature was obtained. |
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| Keywords: | Circular lined tunnel Imperfect interface Cylindrical P-waves Dynamic stress concentration factor |
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