中文摘要：

提出了一种基于递推随机有限元方法（RSFEM）的随机结构损伤识别方法来识别框架与框架填充墙结构的损伤．在定义了随机损伤指数概念的基础上，考虑模型误差的不确定性和测量噪声的影响，建立了关于随机损伤指数的控制方程．然后，利用得到了结构随机损伤指数的统计特性．数值算例的结果显示，新的方法与两步法结合能在考虑模型误差和测量噪声的情况下对结构损伤进行有效识别，且在结构随机参数有较大涨落情况下，该方法与蒙特卡洛模拟法同样有效．

英文摘要：

Based on recursive stochastic finite element method （RSFEM）, a random damage identification method for frame and infilled frame structures was developed. The control equations of random damage index were set up after random damage index was defined. Structural uncertainties and measurement noises were both considered in the control equations. Statistic characters of random damage index were obtained after the control equations were solved utilizing RSFEM. In order to simplify the damage identification procedure, a two-stage approach was adopted. Numerical examples show that structural damages can be identified while structural uncertainty and measurement noises are both considered. It is also found that the method presented has the same effectiveness as Monte-Carlo simulation method for identifying damages of random structures in wide range of random fluctuation.