| 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 |
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| 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 |
| 投稿时间：2011-07-29 修订日期：2012-02-15 |
| DOI：10.7511/jslx20126018 |
| 中文关键词: 深部隧道 衬砌力学状态 区间分析 仿射运算 响应面方法 |
| 英文关键词:deep tunnel mechanical state of lining interval analysis affine arithmetic response surface method |
| 基金项目:国家自然科学基金(51078136);深部岩土力学与地下工程国家重点实验室开放基金 (SKLGDUEK0915)资助项目. |
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| 中文摘要: |
| 根据深部地层隧道结构物理、力学参数信息资料缺乏及各类不确定性模型的特征,揭示了区间模型于深部地层隧道工程不确定性分析的优越性。将限制条件少、适用范围广的链杆模式的矩阵位移理论与响应面思路结合,提出了衬砌结构力学状态参量解析式的搭建方法,并进一步推导出了基于仿射运算的响应面函数矩阵表达形式及其区间上、下界计算公式,构筑起基于矩阵表达的响应面函数区间仿射运算模型。将区间离散逐步逼近规则引入,建立了该模型的优化求解方法。利用该模型及方法分析了某衬砌墙脚轴力及拱顶弯矩分布区间,与蒙特卡洛法计算结果比较,显示本文模型及方法有效地克服了经典区间方法在复杂状态函数中的扩张和溢出这一致命缺陷,提高了准确性和计算效率,分析结果精确度满足工程使用要求。 |
| 英文摘要: |
| 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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