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| Interval analysis of mechanical state for deep tunnel lining based on affine arithmetic |
| Received:July 29, 2011 Revised:February 15, 2012 |
| View Full Text View/Add Comment Download reader |
| DOI：10.7511/jslx20126018 |
| KeyWord:deep tunnel mechanical state of lining interval analysis affine arithmetic response surface method |
| Author | Institution |
| 苏永华 |
湖南大学 土木工程学院,长沙 |
| 贺启 |
湖南大学 土木工程学院,长沙 |
| 罗正东 |
湖南大学 土木工程学院,长沙 |
| 杨晓杰 |
深部岩土力学与地下工程国家重点实验室北京,北京 |
| 李翔 |
湖南大学 土木工程学院,长沙 |
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| Abstract: |
| According to the deficient information on the physical and mechanical parameters,as well as the characteristics of various uncertainty models for tunnel structures in the deep stratum,the interval model was demonstrated to be of superiority in the uncertainty analysis of tunnel structures for the deep stratum.Combining the matrix displacement theory used in the bar-chain mode having few limiting conditions and wide applications with the idea of response surface method,the construction of the analytic parametric expressions was proposed for the mechanical state of lining structures.The response functions with matrix fashion based on the affine operation and theirs formulas of the upper and lower bound interval were deduced,and then the response function interval-affine arithmetic model was constituted based on the matrix expression.The optimization approach for solving this model was further developed by introducing the successive approximation rule for interval divisions.Using this proposed model and approach,the distribution range of the axial force loaded in the basement and the moment imposed on the top of the vault for a certain lining was analyzed,and the computed results were compared with those obtained by the Monte-Carlo simulation method,which manifests that the proposed model and approach can effectively overcome the severe deficiency of expansion and overflow in the classical interval method when dealing with the complicated state functions,and improve the calculation accuracy and efficiency.The precision of analysis results can fulfill the application requirements for engineering practice. |
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