Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads
Double-arched tunnel is a special kind of tunnel structure which is widely adopted for shallow rock tunnels. The internal forces within a double-arched tunnel are difficult to be determined due to its special geometry and complex interactions with surrounding rock masses. This paper presents a set o...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Advances in Civil Engineering |
| Online Access: | http://dx.doi.org/10.1155/2021/8867536 |
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| author | Song Yang Rui Dai Zubin Ai Xiaochang Li Chao Zhang Xin Huang |
| author_facet | Song Yang Rui Dai Zubin Ai Xiaochang Li Chao Zhang Xin Huang |
| author_sort | Song Yang |
| collection | DOAJ |
| description | Double-arched tunnel is a special kind of tunnel structure which is widely adopted for shallow rock tunnels. The internal forces within a double-arched tunnel are difficult to be determined due to its special geometry and complex interactions with surrounding rock masses. This paper presents a set of analytical solutions for determining the internal forces within the lining structure of shallow double-arched tunnel subjected to symmetric external loads. The double-arched tunnel is decomposed into three main parts, i.e., the arch rings, the side walls, and the middle wall. The force method and the elastic foundation beam model are employed for the arch rings and the side walls, respectively, while the middle wall is treated as a cantilever beam fixed at the bottom. Analytical solutions for the internal forces of the three parts are derived separately, which are continuous at the conjunctions of different parts. The derived analytical solutions are verified by comparing with the FEM simulation results. Finally, parametric studies are performed to investigate the influences of burial depth, elastic resistance coefficient, opening angle, and tunnel span on the internal forces based on which some recommendations are provided for the construction and design of the double-arched tunnels. The derived analytical solutions provide fast estimations for the internal forces and deformation of the double-arched lining structures, which will be a useful tool for design optimization. |
| format | Article |
| id | doaj-art-84e60cfb9b7e413daf9bd5dd8db4b70c |
| institution | OA Journals |
| issn | 1687-8086 1687-8094 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Civil Engineering |
| spelling | doaj-art-84e60cfb9b7e413daf9bd5dd8db4b70c2025-08-20T02:08:42ZengWileyAdvances in Civil Engineering1687-80861687-80942021-01-01202110.1155/2021/88675368867536Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric LoadsSong Yang0Rui Dai1Zubin Ai2Xiaochang Li3Chao Zhang4Xin Huang5School of Civil Engineering, Tsinghua University, Beijing 100048, ChinaBureau of Transporation, Honghe Hani and Yi Autonomous Prefecture, Yunnan Province 661400, ChinaPOWERCHINA Roadbridge Group Co., Ltd, Beijing 100048, ChinaDepartment of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, ChinaPOWERCHINA Roadbridge Group Co., Ltd, Beijing 100048, ChinaDepartment of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, ChinaDouble-arched tunnel is a special kind of tunnel structure which is widely adopted for shallow rock tunnels. The internal forces within a double-arched tunnel are difficult to be determined due to its special geometry and complex interactions with surrounding rock masses. This paper presents a set of analytical solutions for determining the internal forces within the lining structure of shallow double-arched tunnel subjected to symmetric external loads. The double-arched tunnel is decomposed into three main parts, i.e., the arch rings, the side walls, and the middle wall. The force method and the elastic foundation beam model are employed for the arch rings and the side walls, respectively, while the middle wall is treated as a cantilever beam fixed at the bottom. Analytical solutions for the internal forces of the three parts are derived separately, which are continuous at the conjunctions of different parts. The derived analytical solutions are verified by comparing with the FEM simulation results. Finally, parametric studies are performed to investigate the influences of burial depth, elastic resistance coefficient, opening angle, and tunnel span on the internal forces based on which some recommendations are provided for the construction and design of the double-arched tunnels. The derived analytical solutions provide fast estimations for the internal forces and deformation of the double-arched lining structures, which will be a useful tool for design optimization.http://dx.doi.org/10.1155/2021/8867536 |
| spellingShingle | Song Yang Rui Dai Zubin Ai Xiaochang Li Chao Zhang Xin Huang Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads Advances in Civil Engineering |
| title | Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads |
| title_full | Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads |
| title_fullStr | Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads |
| title_full_unstemmed | Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads |
| title_short | Analytical Solutions for the Mechanical Responses of Shallow Double-Arched Tunnel Subjected to Symmetric Loads |
| title_sort | analytical solutions for the mechanical responses of shallow double arched tunnel subjected to symmetric loads |
| url | http://dx.doi.org/10.1155/2021/8867536 |
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