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浙江大学学报(工学版)
Journal of ZheJiang University (Engineering Science)  2022, Vol. 56 Issue (5): 909-919    DOI: 10.3785/j.issn.1008-973X.2022.05.008
    
Regional difference of value taking of effective temperature for steel-concrete composite girder bridges
Zhi-yuan MA1(),Jiang LIU1,2,Yong-jian LIU1,2,*(),Yi LYU1,Guo-jing ZHANG1
1. School of Highway, Chang’an University, Xi’an 710064, China
2. Research Center of Highway Large Structure Engineering on Safety of Ministry of Education, Xi’an 710064, China
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Abstract  

A long-term field test was carried out on a segmental model of steel box concrete composite girder, and the accuracy of numerical simulation of temperature field was verified based on the measured data, in order to study the accurate value of effective temperature of composite girder bridges in different areas. The effective temperature samples were obtained by finite element method and meteorological correlation formula, and the representative values of effective temperature were calculated and compared based on generalized Pareto (GP) distribution model. 839 reference weather stations in China were investigated, and 91 stations with solar radiation data were simulated for 23 years. Furthermore, the correlation formula between effective temperature, air temperature and solar radiation was established. The contour map of effective temperatures was drawn by spatial interpolation method. Results show that the highest effective temperature ranges from 20.56 ℃ to 51.99 ℃, the lowest effective temperature ranges from ?42.94 ℃ to 15.81 ℃, and the effective temperature range ranges from 26.16 ℃ to 87.57 ℃. In the contour map, the effective temperature range in about 1/7 of the national area exceeds the maximum value of 71 ℃ specified by the current codes, which brings great risks to the safe operation of bridges.

Key words： bridge engineering      effective temperature      meteorological correlation      steel-concrete composite girder      regional difference      contour map     
Received: 02 December 2021      Published: 31 May 2022
CLC:  U 448  
Fund:  国家自然科学基金资助项目(52108111)；中国博士后科学基金资助项目(2021M692747)；青海省重点研发与转化计划(2021-SF-166)；长安大学中央高校基本科研业务费专项资金资助项目（300102212102）
Corresponding Authors: Yong-jian LIU     E-mail: 542787523@qq.com;liuyongjian@chd.edu.cn
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Zhi-yuan MA
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Cite this article:

Zhi-yuan MA,Jiang LIU,Yong-jian LIU,Yi LYU,Guo-jing ZHANG. Regional difference of value taking of effective temperature for steel-concrete composite girder bridges. Journal of ZheJiang University (Engineering Science), 2022, 56(5): 909-919.

URL:

https://www.zjujournals.com/eng/10.3785/j.issn.1008-973X.2022.05.008     OR     https://www.zjujournals.com/eng/Y2022/V56/I5/909


钢-混组合梁桥有效温度取值的地域差异性

为了研究不同地区组合梁桥有效温度的精确取值，对钢箱混凝土组合梁节段模型开展长期温度测试，基于实测数据验证数值模拟温度场的准确性. 采用有限元和气象相关性公式2种方法得到有效温度样本数据，基于广义帕累托（GP）分布模型计算有效温度代表值并进行对比. 调研中国839个基准气象站数据,对其中91个具有太阳辐射数据的站点进行23 a长期数值模拟，并逐个站点建立有效温度与气温和太阳辐射2个气象参数之间的相关性公式. 采用空间插值方法得到有效温度全国等值线地图. 结果表明：全国范围内组合梁桥最高有效温度为20.56~51.99 ℃，最低有效温度为?42.94~15.81 ℃，有效温度变化为26.16~87.57 ℃，在等值线地图中，约占全国面积的1/7的区域的有效温度变化超过规范中最大值71 ℃，给桥梁的安全运营带来较大风险.


关键词： 桥梁工程,  有效温度,  气象相关性,  钢-混凝土组合梁,  地域差异性,  等温图 
Fig.1 Segmental model of steel box composite girder
Fig.2 Measuring point arrangement of composite girder
Fig.3 Finite element model of steel box composite girder
材料 ρ/(kg?m?3) c/(J?kg?1?K?1) λ/(W?m?1?K?1) α ε
钢 7850 460 55.000 0.50 0.80
混凝土 2300 900 3.000 0.40 0.85
空气 1.293 1000 0.027 ? ?
Tab.1 Thermal parameters of composite girder
Fig.4 Comparison between measured and FEM calculated effective temperature of composite girder
区域 省级行政区 基准气象站 常规气象站 辐射气象站 区域 省级行政区 基准气象站 常规气象站 辐射气象站
华北 北京 3 2 1 华中 河南 20 17 3
天津 3 2 1 湖北 32 30 2
山西 28 25 3 湖南 36 33 3
河北 21 20 1 华南 广东 37 35 2
内蒙古 48 46 2 广西 26 23 3
东北 辽宁 33 30 3 海南 8 5 3
吉林 29 27 2 香港 0 0 0
黑龙江 37 32 5 澳门 0 0 0
华东 上海 1 0 1 西南 重庆 12 11 1
江苏 24 21 3 四川 42 35 7
浙江 23 21 2 贵州 34 33 1
安徽 24 22 2 云南 34 29 5
福建 28 26 2 西藏 29 26 3
江西 26 24 2 西北 陕西 36 33 3
山东 23 20 3 甘肃 29 25 4
台湾 0 0 0 青海 35 30 5
? ? ? ? 宁夏 12 10 2
? ? ? ? 新疆 66 55 11
Tab.2 Distribution of reference weather stations in China
Fig.5 Comparison between measured total daily radiation and predicted value by Bahel model
类别 ns Ps
R2区间 [0.75, 0.80) 5 5.49
[0.80, 0.90) 41 45.05
[0.90, 1.00] 45 49.46
RMSE区间
(MJ·m?2) 		[3.0, 4.7) 9 9.89
[2.0, 3.0) 62 68.13
[0, 2.0] 20 21.98
Tab.3 Applicability evaluation of Bahel model at 91 radiation weather stations in China
Fig.6 Historical meteorological data of Xining station in 23 years
Fig.7 Data of FEM for effective temperature of composite girder in 23 years
Fig.8 Calculation data of meteorological correlation formula for effective temperature of composite girder in 23 years
Fig.9 Comparison between effective temperature values of meteorological correlation formula and finite element model
数据来源 θe,max θe,min
23 a数值模
拟数据 		23 a气象相
关数据 		23 a数值模
拟数据 		23 a气象相
关数据
20 a重现期 41.91 41.43 ?21.59 ?21.72
50 a重现期 42.54 42.31 ?22.33 ?22.27
原始数据极值 42.04 41.62 ?21.28 ?21.63
Tab.4 Representative values of effective temperature calculated from different data sources ℃
影响因素 F值
θe,max θe,min
hp 51.73 55.22
Bc 1.64 2.83
hc 43.91 66.85
hs 3.60 2.90
α 1.39 1.06
Tab.5 Variance analysis results of effective temperature influencing factors
Fig.10 Influence of deck and pavement thickness on effective temperature
Fig.11 Effective temperature box diagram of radiation meteorological station
Fig.12 Comparison of regional differences of effective temperature at radiation meteorological stations
Fig.13 Comparison between representative effective temperature values of finite element method and meteorological correlation formula
θe,max/℃ 分布地区 θe,min/℃ 分布地区
48~52 新疆中部及北部 ?43~?35 黑龙江、内蒙古、西藏西部、青海南部
44~48 北京天津周边、重庆、湖北北部、浙江、江西北部、陕西湖北交界处 ?35~?28 吉林、辽宁北部、新疆北部
40~44 黑龙江、吉林、辽宁、内蒙古、山西、山东、河南、安徽、湖南、福建、广东、广西、福建、四川东部、新疆南部及东部 ?28~?20 新疆南部、青海北部、西藏东部、甘肃、陕西北部、山西北部、四川北部
36~40 青海北部、甘肃北部、贵州、云南南部、江苏 ?20~?12 河北、山东、山西、陕西中部、宁夏
32~36 西藏西部、云南北部 ?12~?5 江苏、安徽、河南、陕西南部、四川南部、湖北
28~32 西藏中部及东部、四川西部 ?5~3 湖南、江西、浙江、福建、贵州、云南北部
24~28 西藏南部、四川北部 3~11 广东北部、广西、云南南部
20~24 西藏北部、青海南部 11~16 广东南部、海南、台湾
Tab.6 Distribution area of each effective temperature range
地区 θe,max/ ℃ θe,min/ ℃ θe,range/ ℃
严寒地区 39 ?32 71
寒冷地区 39 ?15 54
温热地区 39 ?6 (?1) 45 (40)
Tab.7 Effective temperature value of composite girder in general specifications[6] for design of highway bridges and culverts
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