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Keywords: seismic analysis, soil-structure interaction, surface waves, Rayleigh waves, Love waves, buried structures, seismic analysis of tunnels, twin tunnels, Winkler model, Timoshenko beam.

Summary

Twin tunnels may be subjected to Love and Rayleigh seismic waves travelling in polarized planes at inclined angles regarding the tunnel axis. As a consequence, twin tunnels undergo relative displacements with respect to each other and thus their seismic response is mutually influenced. Several simplified models were proposed in the past to account for the seismic response of one tunnel subjected to the action of Rayleigh wave components (dilatational and distortional components) as well as Love waves, all of them travelling parallel to the tunnel axis. The tunnel was modelled as a Winkler system and the seismic motion of the soil particles was statically imposed at the base of the springs of the model. In our new model, we consider two twin tunnels connected to the far-soil by means of springs. The tunnels are mutually connected by springs that take into account the stiffness interaction between them. These spring constants have been determined after statically analysing the problem, considering several soil stiffness values and several tunnels-axis distances. Free-field motions are imposed at the base of the tunnel-far-soil system while taking into account the delay caused by the tunnel separation. Surface waves (Rayleigh waves polarized in vertical planes) and Love waves (polarized in horizontal planes) are considered, but the wave directions are inclined in relation to the tunnels axes. This causes the tunnels to be subjected to bending moments as well as shear and axial forces, depending of the angle of the wave incidence. These boundary-value problems are governed by set of differential equations and are solved by the finite-difference method. The results show the importance of the incidence angle of the wave as well as the seismic interaction between the tunnels.

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Front Page Browse CCP CSETS CTR IJRT Other Authors Search Purchase Guide FAQ Contact us	Civil-Comp Proceedings ISSN 1759-3433 CCP: 89 PROCEEDINGS OF THE SIXTH INTERNATIONAL CONFERENCE ON ENGINEERING COMPUTATIONAL TECHNOLOGY Edited by: M. Papadrakakis and B.H.V. Topping Paper 168 Simplified Three-Dimensional Models for Twin Tunnels to Account for the Seismic Interaction Caused by Surface Waves A.L. Sánchez-Merino and C. Navarro Continuum Mechanics and Structural Analysis Department, Carlos III University, Madrid, Spain doi:10.4203/ccp.89.168 purchase the full-text of this paper Full Bibliographic Reference for this paper , "Simplified Three-Dimensional Models for Twin Tunnels to Account for the Seismic Interaction Caused by Surface Waves", in M. Papadrakakis, B.H.V. Topping, (Editors), "Proceedings of the Sixth International Conference on Engineering Computational Technology", Civil-Comp Press, Stirlingshire, UK, Paper 168, 2008. doi:10.4203/ccp.89.168 Keywords: seismic analysis, soil-structure interaction, surface waves, Rayleigh waves, Love waves, buried structures, seismic analysis of tunnels, twin tunnels, Winkler model, Timoshenko beam. Summary Twin tunnels may be subjected to Love and Rayleigh seismic waves travelling in polarized planes at inclined angles regarding the tunnel axis. As a consequence, twin tunnels undergo relative displacements with respect to each other and thus their seismic response is mutually influenced. Several simplified models were proposed in the past to account for the seismic response of one tunnel subjected to the action of Rayleigh wave components (dilatational and distortional components) as well as Love waves, all of them travelling parallel to the tunnel axis. The tunnel was modelled as a Winkler system and the seismic motion of the soil particles was statically imposed at the base of the springs of the model. In our new model, we consider two twin tunnels connected to the far-soil by means of springs. The tunnels are mutually connected by springs that take into account the stiffness interaction between them. These spring constants have been determined after statically analysing the problem, considering several soil stiffness values and several tunnels-axis distances. Free-field motions are imposed at the base of the tunnel-far-soil system while taking into account the delay caused by the tunnel separation. Surface waves (Rayleigh waves polarized in vertical planes) and Love waves (polarized in horizontal planes) are considered, but the wave directions are inclined in relation to the tunnels axes. This causes the tunnels to be subjected to bending moments as well as shear and axial forces, depending of the angle of the wave incidence. These boundary-value problems are governed by set of differential equations and are solved by the finite-difference method. The results show the importance of the incidence angle of the wave as well as the seismic interaction between the tunnels. purchase the full-text of this paper (price £20) go to the previous paper go to the next paper return to the table of contents return to the book description purchase this book (price £95 +P&P)
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