计算力学学报2012，Vol.29Issue(6)：921-926,6.
基于仿射算法的深部隧道衬砌力学状态区间分析
Interval analysis of mechanical state for deep tunnel lining based on affine arithmetic
摘要
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 stra- tum. Combining the matrix displacement theory used in the bar chain mode having few limiting condi- tions and wide applications with the idea of response surface method, the construction of the analytic par- ametric 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 inter- val 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 in- troducing the successive approximation rule for interval divisions. Using this proposed model and ap- proach, 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 ob- tained 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.关键词
深部隧道/衬砌力学状态/区间分析/仿射运算/响应面方法Key words
deep tunnel/mechanical state of lining/interval analysis/affine arithmetic/response surfacemethod分类
信息技术与安全科学引用本文复制引用
苏永华,贺启,罗正东,杨晓杰,李翔..基于仿射算法的深部隧道衬砌力学状态区间分析[J].计算力学学报,2012,29(6):921-926,6.基金项目
国家自然科学基金 （）
深部岩士力学与地下工程国家重点实验室开放基金（SKLGDUEK0915）资助项目. （）
