基于高阶矩法的CRTSⅡ型轨道板抗裂可靠度  

Reliability on crack resistance of CRTS Ⅱ track slab based on high-order moment method

作　　者：张龙文 周劲 ZHANG Longwen;ZHOU Jin(College of Water Resources and Civil Engineering,Hunan Agricultural University,Changsha 410128,China;School of Civil Engineering,Central South University,Changsha 410075,China)

机构地区：[1]湖南农业大学水利与土木工程学院,湖南长沙410128 [2]中南大学土木工程学院,湖南长沙410076

出　　处：《中山大学学报（自然科学版）》2020年第3期134-142,共9页Acta Scientiarum Naturalium Universitatis Sunyatseni

基　　金：国家自然科学基金(51820105014);湖南省教育厅资助项目(18C0145);湖南农业大学青年基金(18QN23)。

摘　　要：文章提出了基于高阶矩的CRTSⅡ型轨道板抗裂可靠度分析方法。首先,利用ANSYS有限元软件建立列车竖向荷载作用下的CRTSⅡ型板式无砟轨道力学模型,同时考虑列车横向荷载及梯度温度作用,建立轨道板抗裂功能函数;接着,将二维减维点估计方法与结构有限元分析相结合求解考虑竖向荷载作用效应的隐式函数前四阶矩;最后,利用随机变量的前四阶矩,根据Monte-Carlo模拟计算抗裂功能函数的前四阶矩并基于高阶矩法计算功能函数的可靠指标。算例分析表明:文章提出的点估计-有限元方法计算的前四阶矩与Monte-Carlo模拟结果相对误差小于5%;计算的可靠指标为4.63,满足规范要求。该法具有简单、实效、模拟次数少的优点,为解决CRTSⅡ型轨道板在隐式函数情况下的抗裂可靠度分析提供了高效合理的工具。Based on the high-order moment method, the reliability analysis method on crack resistance of CRTS Ⅱ track slab is proposed. Firstly, the mechanical model of CRTS Ⅱ slab ballastless track under vertical train load is established by using ANSYS finite element software, and the performance function of crack resistance of track slab is established by considering the effect of lateral train load and gradient temperature. Then, the first four moments of the implicit function considering the effect of vertical load are solved by combining the two-dimensional point estimation method with the structural finite element analysis. Finally, the first four moments of the performance function of anti-cracking are calculated according to the Monte-Carlo simulation method, and the reliability index of the performance function is estimated based on the high-order moment method. A numerical example shows that relative error between the result of proposed method and Monte-Carlo simulation results is less than 5%. The reliability index estimated by the proposed method is 4.63, which satisfies the requirement of the code. The proposed method has the advantages of simplicity, effectiveness and fewer simulation times, and it provides an efficient and reasonable tool for reliability analysis of crack resistance of CRTS Ⅱ track slab under implicit function condition.

关 键 词：CRTSⅡ型轨道板 抗裂可靠度 点估计-有限元 高阶矩 隐式功能函数 

分 类 号：U213.2[交通运输工程—道路与铁道工程] TU311.4[建筑科学—结构工程]