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平面结构可靠性预测的随机边界元逆分析法
引用本文:刘勇,贾高顺,杨健,梁利华.平面结构可靠性预测的随机边界元逆分析法[J].应用力学学报,2000,17(4):26-33.
作者姓名:刘勇  贾高顺  杨健  梁利华
作者单位:浙江工业大学,杭州,310014
基金项目:国家自然科学资助!(59675042),浙江省人才基金!(RC9601)
摘    要: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。

关 键 词:结构可靠性  随机边界元  逆问题  卡尔曼滤波  平面结构  工程结构

Study of the Stochastic and Inverse Boundary Element Method for Structural Reliability Prediction
Liu Yong,Jia Gaoshun,Yang Jian,Liang Lihua.Study of the Stochastic and Inverse Boundary Element Method for Structural Reliability Prediction[J].Chinese Journal of Applied Mechanics,2000,17(4):26-33.
Authors:Liu Yong  Jia Gaoshun  Yang Jian  Liang Lihua
Abstract:Based on the theory of SBEM for structural reliability and IBEM for inverse prob lems, using the SBEM equations and an improved Kalman filtering algorithm to pre dict the reliability of structure, the paper presents the stochastic and inverse boundary element method for structural reliability prediction. The method is ap plied to the structural reliability prediction with both unknown defect and unkn own random boundary traction. The unknown defect is determined simultaneously wi th the parameters prediction of distribution of unknown random boundary traction and the structural reliability prediction. The effectiveness is demonstrated thr ough the numerical examples of 2-D structure model.
Keywords:structure reliability  stochastic boundary element method  inverse problem  reliability predictioin  Kalman filtering algorithX
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