[1]刘均利,余学志,余文成,等.采用广义极值分布的公路桥梁车辆荷载效应极值预测[J].华侨大学学报(自然科学版),2019,40(4):470-475.[doi:10.11830/ISSN.1000-5013.201812005]
　LIU Junli,YU Xuezhi,YU Wencheng,et al.Prediction of Extreme Value of Vehicle Loading Using Generalized Extreme Value Distribution[J].Journal of Huaqiao University(Natural Science),2019,40(4):470-475.[doi:10.11830/ISSN.1000-5013.201812005]
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采用广义极值分布的公路桥梁车辆荷载效应极值预测()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第40卷
期数:
2019年第4期
页码:
470-475
栏目:
出版日期:
2019-07-10

文章信息/Info

Title:
Prediction of Extreme Value of Vehicle Loading Using Generalized Extreme Value Distribution
文章编号:
1000-5013(2019)04-0470-06
作者:
刘均利1; 2;  余学志1;  余文成1; 2;  景天虎1; 2;  张晋豪3
1. 桂林理工大学 广西岩土力学与工程重点实验室, 广西 桂林 541004;2. 桂林理工大学 土木与建筑工程学院, 广西 桂林 541004;3. 中交四航工程研究院有限公司, 广东 广州 510230
Author(s):
LIU Junli1; 2;  YU Xuezhi1;  YU Wencheng1; 2; JING Tianhu1; 2;  ZHANG Jinhao3
1. Guangxi Key Laboratory of Geomechanics and Geotechnical Engineering, Guilin University of Technology, Guilin 541004, China; 2. College of Civil Engineering and Architecture, Guilin University of Technology, Guilin 541004, China; 3. CCCC Fourth Harbor Engineering Institute Limited Company, Guangzhou 510230, China
关键词:
桥梁工程;  车辆荷载效应;  广义极值分布;  适线法
Keywords:
bridge engineering;  vehicle load effect;  generalized extreme value distribution;  curve-selecting method
分类号:
TU312.1
DOI:
10.11830/ISSN.1000-5013.201812005
文献标志码:
A
摘要:
为改善对汽车荷载效应样本的统计拟合,建立随机变量的均值、偏差系数、变差系数与广义极值分布的形状参数、尺度参数、位置参数的一一对应关系.采用广义极值分布适线法拟合车辆荷载效应区间最大值样本的概率分布.首先,以矩法计算样本均值和变差系数,假定偏差系数,计算广义极值分布的形状参数、尺度参数和位置参数;然后,将样本点和理论频率曲线绘制到海森机率格纸上,按照理论频率曲线与实测数据拟合得最好的原则选定统计参数,并确定汽车荷载效应样本的理论频率曲线;最后,采用经典极值理论建立设计基准期荷载效应最大值分布.采用某公路一个车道39周的动态称重系统(WIM)数据,建立车辆荷载效应模型,并与最大似然法结果进行比较.结果表明:文中方法更能反映样本分布曲线尾部特征,且实际最大基准期车辆荷载效应远大于现行公路-Ⅰ级汽车荷载效应.
Abstract:
To enhance the statistical fitting of a vehicle loading effect data sample, the relationship was established between the parameters shape, scale and location of the generalized extreme value distribution and the mean, skewness, variance of the variable sets. The generalized extreme value distribution curve-selecting method was utilized to obtain the probability distribution of the block maximum for the vehicle loading effect sample. First, based on the mean, variance of the variable sets obtained by moment method and the supposed skewness, the parameters shape, scale and location of the generalized extreme value distribution were calculat-ed. Then the sample data and frequency curve was plotted on the Heisenberg probability lattice paper, the statistical parameters were selected based on the principle that the theoretical frequency curve was best fitted to the measured data. And the theoretical frequency curves of the vehicle load effect sample were determined. Lastly,the maximum distribution of the vehicle loading effect in the design reference period was extrapolated in accordance to the classical extreme value theory. The weigh-in-motion data obtained on a particular lane of a highway bridge over a 39-week period was then adopted to establish a reference model of a vehicle loading effect, with which a data comparison was performed using the maximum likelihood estimation. Results showed that the presented methodology can better reflect the distribution curve tail behavior of the data sample, and the actual maximum design reference vehicle loading effect is far greater than that under the currently implemented standards for highway grade Ⅰ vehicle loading effect.

参考文献/References:

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备注/Memo

备注/Memo:
收稿日期: 2018-12-03
通信作者: 刘均利(1978-),男,副教授,博士,主要从事桥梁拓宽改建、车辆荷载模型的研究.E-mail:liujunli175@qq.com.
基金项目: 国家自然科学基金资助项目(51468013); 广西科学与技术开发计划项目(桂科攻14251012)http://www.hdxb.hqu.edu.cn
更新日期/Last Update: 2019-07-20