摘要
为系统地研究钢筋混凝土板极限承载力判据,首先利用有限元软件建立钢筋混凝土双向板在不同边界条件下从初始加载至破坏的全过程分析,提取混凝土单元的弹性应变能;然后对钢筋混凝土双向板应变能进行概率分布拟合,由分布拟合的参数变化趋势推断出它的极限承载力.研究表明:钢筋混凝土双向板的弹性应变能分布拟合符合对数正态分布.随着荷载增加,对数正态分布的拟合参数先增加后趋于稳定;对拟合参数进行曲线拟合发现,二次多项式拟合程度最好,根据二次多项式方程推断出构件的极限承载力,与理论值对比误差很小,验证了本文提出判据的可行性.
In order to study the criterion for the ultimate bearing capacity of reinforced concrete,the finite element software is firstly used to construct the whole process analysis of two-way reinforced concrete slabs under different borders from the initial loadings to the destruction,to extract the elastic strain energy of concrete units.Then,the probability distribution of the corresponding variable energy is fitted,and the ultimate bearing capacity of the reinforced concrete slab is inferred from the parameter change trend of the distribution fitting.It is shown that the elastic strain energy distribution fitting of reinforced concrete slab conforms to the log-normal distribution,and as the load increases,the fitting parameters of the log-normal distribution first increase and then become stable.Then,the curve fitting of the fitting parameters shows that the quadratic polynomial is best.According to the quadratic polynomial formula,the ultimate bearing capacity of the component is inferred.The error is small compared with the theoretical value,verifying the feasibility of the criterion proposed in this paper.
作者
夏雨
常远
余颖烨
XIA Yu;CHANG Yuan;YU Yingye(School of Civil Engineering and Architecture,Guangxi University of Science and Technology,Liuzhou 545006,China)
出处
《广西科技大学学报》
2021年第4期85-92,共8页
Journal of Guangxi University of Science and Technology
基金
国家自然科学基金项目(51569005)
广西自然科学基金项目(2020GXNSFAA297203,2015GXNSFAA139279,2018GXNSFBA281186,2019GXNSFBA245071)
广西科技计划项目(桂科AD19110068,桂科AD19245125)资助.
关键词
概率分布
对数正态分布
极限承载力
判据
弹性应变能
曲线拟合
probability distribution
log-normal distribution
ultimate bearing capacity
criterion
elastic strain energy
curve fitting
