【作者】 赵旭峰； 严松宏；

【Author】 ZHAO Xu-feng~1,YAN Song-hong~2 (1.Department of Geotechnical Engineering Tongji University,Shanghai 200092,China; 2.School of Civil Engineering Lanzhou Jiaotong University,Lanzhou 730070,China)

【机构】 同济大学地下建筑与工程系； 兰州交通大学土木工程学院；

【摘要】 应用可靠性理论,推行结构概率设计方法,制定相应的结构设计标准以取代传统的安全系数设计法,是当今国内外结构设计发展的必然趋势。鉴于隧道与地下结构所具有的特殊性和重要性,对其开展可靠性研究是一项非常有意义的工作。在对地下结构等大型复杂非线性结构进行可靠性分析中,荷载效应统计特征分析是一个比较复杂的问题。考虑围岩和衬砌的相互作用,采用弹塑性有限元响应面法分析隧道衬砌结构荷载效应的统计特征,该方法一方面架起了一座由确定性分析到非确定性分析的桥梁,另一方面,通过有目的地选择试验点而大大减少了结构分析的计算量,从而提高了计算效率。利用可靠指标的几何意义,通过坐标转换和矩阵变换,推导了变量相关条件下计算结构可靠指标的分位值法迭代计算公式,进而对隧道衬砌结构进行可靠度分析。更多还原

【Abstract】 It is a worldwide inexorable trend of structure design development to apply reliability theory,to carry out probability limit state design method and to lay down appropriate design standard.Considering the specialty and importance of underground structure,it is a very meaningful work to study the reliability of tunnel lining structure.The statistic analysis of action effect on lining structure is a key problem for the reliability analysis of complex nonlinear underground structure.Considering the reciprocal effect of the surrounding rock and the lining structure,the statistic properties about action effect of the tunnel lining structure are analyzed with the elastic-plastic FEM response surface method.By comparing the result of FEM response surface and Monte-Carlo FEM,it shows that FEM response surface method for calculating the statistical characteristic of action effect is characteristic of high precision in the reliability analysis of tunnel lining structure.On the one hand,FEM response surface method bridges the certain analysis and uncertain analysis.On the other hand, this method is high efficient for structural calculation by selecting optimum test simple.Based on the geometrical meaning of reliability index,the direct iteration calculation of reliability index under the condition of nonlinear function and correlated variable was discussed by using coordinate transformation and matrix operation, and the calculation formula of contribution value method of reliability index was educed.At last,the reliability of tunnel lining structure is analyzed.更多还原