基于耦合概率法的空间杆系结构失效概率分析  

Failure Probability Analysis on Spatial Truss Structure by Coupling Probability Method

作　　者：刘国光[1] 杨跃敏 武志玮[1] LIU Guo-guang;YANG Yue-min;WU Zhi-wei(Airport College of Civil Aviation University of China,Tianjin 300300,China)

机构地区：[1]中国民航大学机场学院,天津300300

出　　处：《科学技术与工程》2021年第8期3244-3251,共8页Science Technology and Engineering

基　　金：天津市教委科研计划(2018KJ243)。

摘　　要：结构失效概率的量化计算是预测结构剩余寿命的重要途径之一。以结构三阶耦合失效理论为基础,通过应力变化率法和杆件移除法相结合评价单元杆件失效模态的相关系数,建立了一种空间杆系结构失效概率计算的新方法。首先采用耦合概率法分析得到结构在不同子系统破坏模式下失效概率上界与下界的表达式,并与泰勒展开法进行验证比较分析。同时进行六角星型穹顶结构破坏实验,最后通过应力变化率法分析结构加载破坏全过程的杆件内力时程曲线,总结出六角星型穹顶结构破坏与耦合失效概率区间的变化规律。结果表明,耦合概率法能够很好地展示多子系统间的组合失效结果,将多维积分转化为一维积分,具有较高的计算精度的同时仍具有很好的适用性,可用于计算空间杆系结构失效概率区间,预测结构破坏模态并量化评价结构可靠性。Numerical calculation of structural failure probability is one of an important approach to predict structure remained service life.A novel method was developed to calculate the failure probability of spatial truss structure based on the theory of three-order coupling failure of a structural system.In this method,the stress change rate method and element-removing method were combined to evaluate correlation coefficient of failure modes of the bar.The coupling probability method was applied to analyze the expression of the upper and lower bounds of structural function under different failure modes,and it was verified and compared with the Taylor expansion method.Besides,the damage test of a six star-type dome was conducted.By which,the time history of stress of bar was recorded during the process by a stress rate method,and the variation characteristics of six star-type dome failure and structural failure probability intervals were concluded.The results show that the coupling probability method can show the combined failure results among multiple subsystems very well.The method of converting multi-dimensional integrals into one-dimensional integrals has high calculation accuracy and good applicability.It can be used effectively to analyze the failure profanity of spatial truss structure and predict structure failure mode and analyze structural characteristics in numerical.

关 键 词：空间结构 耦合概率分析 星型穹顶 杆件移除法 结构失效 

分 类 号：TU311.1[建筑科学—结构工程]