Abstract
Composite lining of deep buried water conveyance tunnel for bearing high internal water pressure is a new type of applicable structure. However, up to date, no effective method is available to calculate the stress of the structure. In this paper, a simplified algorithm, which can be used to calculate the stress distribution of composite lining accurately but costs little computational resource, is proposed. This algorithm, which is based on the elastic theory, takes the effect of internal water pressure and surrounding rock on the composite lining into consideration, respectively. Then, the stress distribution of composite lining in infinite body is derived on the basis of Lame solution. Finally, a case study is followed by choosing a typical section of the Eastern Canal in Beijing of the South-to-North Water Diversion Project (SNWDP). This case study was analysed by using the simplified algorithm and verified by finite element method with ABAQUS. The results show that the stress distribution of composite lining can be obtained quickly and accurately with the simplified algorithm, which can provide a reference for other engineering designs.
Highlights
At present, many large water conveyance tunnels have been built with composite lining method at home and abroad, such as South-to-North Water Diversion Project (SNWDP) in China [1, 2]
According to different mechanical models, the design methods of lining structures can be classified into three kinds, i.e., conventional method, multihinge ring method, and beam-spring model calculation method. e conventional method, which was put forward by Japanese standard in 1960 [3, 4], ignored the influence between the joints and assumed that the lining was a homogeneous ring
E modified conventional method [4,5,6] considered the influence of the joints on the basis of the conventional method and adopted the parameters η and ζ to calculate the internal forces of the structure, considering the tube segment as a homogeneous ring with a stiffness of ηEI and the design bending moment as (1 + ζ) M. e parameters η and ζ were obtained mainly according to test or engineering experience, with η being about 0.6–0.8 and ζ being about 0.3–0.5 [7]
Summary
Many large water conveyance tunnels have been built with composite lining method at home and abroad, such as SNWDP in China [1, 2]. According to different mechanical models, the design methods of lining structures can be classified into three kinds, i.e., (modified) conventional method, multihinge ring method, and beam-spring model calculation method. Most of the existing calculation methods for the composite lining of water conveyance tunnel are so conservative that the related design steps are complicated, resulting in high project cost. In the International Tunnelling Association Guidelines, the structures of composite lining are only divided into double shell structures and composite structures; no specific model and analytical solution were given. E analytical solution of the stress distribution of the composite lining was deduced and verified by the finite element method using ABAQUS, which could provide a reference for other engineering designs Based on the engineering of the South-to-North Water Transfer Tunnel, a typical section was chosen. e analytical solution of the stress distribution of the composite lining was deduced and verified by the finite element method using ABAQUS, which could provide a reference for other engineering designs
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