混凝土框架结构的随机地震反应与整体可靠度分析

Stochastic seismic response and global reliability analysis of concrete frame structures

采用概率密度演化理论,进行了典型混凝土框架结构的随机地震反应与抗震整体可靠性分析。文中,通过引入赋得概率的影响,有效地降低了点集的广义F偏差与广义L2偏差,从而显著地提高了分析精度。在此基础上,实现了结构参数具有随机性的6层钢筋混凝土结构在地震动作用下的随机动力反应分析。进而,考察了各个基本随机变量的整体灵敏度,并通过施加吸收边界条件,进行了混凝土框架结构的整体可靠性分析。

The probability density evolution method is employed to implement stochastic seismic response analysis and global reliability evaluation of a typical concrete structure. In the present paper,the effect of assigned probabilities is taken into account. By doing so the generalized F-discrepancy and the generalized L2-discrepancy of point sets are greatly reduced,consequently the accuracy and efficiency are improved considerably. The stochastic seismic response analysis of a 6-story concrete structure with random parameters is then performed. Further,the global sensitivity of the basic random variables is evaluated,and the global reliability of the concrete structure is obtained by solving the generalized density evolution equation imposed by an absorbing boundary condition.