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在结构可靠性计算的随机边界元理论和逆分析法基础上，用随机边界元方程结合改进的卡尔曼滤波算法来预测结构的可靠性，提出了用于平面机械结构可靠性预测的边界元逆分析法理论；并将方法应用于同时存在未知缺陷和随机边界载荷模型，进行了结构可靠性预测，在识别缺陷的同时预测出随机边界载荷的分布参数及结构体上各点的结构可靠度指标，给出了平面结构模型的数值示例。
Based on stochastic boundary element theory and inverse analysis of structure reliability calculation, the stochastic boundary element equation and the improved Kalman filter algorithm are used to predict the reliability of the structure. The boundary element inverse method is proposed for the reliability prediction of planar mechanical structure The method is applied to the model with unknown defects and random boundary loads. The structural reliability prediction is carried out. When the defects are identified, the distribution parameters of random boundary loads and the structural reliability index of each point on the structure body are predicted , Gives a numerical example of the planar structure model.