Solar radiation time-varying temperature field and temperature effect on small radius curved rigid frame box girder bridge
-
摘要: 应用太阳物理学理论确定了太阳的实时位置, 结合光线跟踪算法实时选取了结构的时变迎光面, 得到了结构的时变热边界条件; 以永顺—吉首高速公路石家寨立交中的一座小半径曲线刚构箱梁桥为工程背景, 参考当地历史气象数据, 以气温最高的某夏日为例, 在考虑太阳辐射、长波辐射、对流换热和风速等环境条件下, 实现了小半径曲线刚构箱梁桥三维瞬态日照时变温度场的有限元仿真, 通过热-结构耦合分析得到了小半径曲线刚构箱梁桥的日照时变温度效应。研究结果表明: 在日照时变辐射作用下, 由于小半径曲线刚构箱梁桥翼缘板的遮盖作用, 箱梁腹板受太阳直射的时间不同, 箱梁各断面腹板处最大温差为1.3℃; 小半径曲线刚构箱梁桥顶板竖向温度梯度变化规律与《公路桥涵设计通用规范》 (JTG D60—2015) 中相似, 顶板上下表面间最大温差为14.3℃, 且箱梁顶板下表面温度变化滞后箱梁顶板上表面约3 h; 小半径曲线刚构箱梁桥顶板下表面会出现最大为3.13 MPa的横向拉应力, 顶板上表面、腹板外表面也均会出现超过2 MPa的横向拉应力; 小半径曲线刚构箱梁桥梁端与跨中位移变化趋势相反, 初步揭示了日照时变辐射作用下小半径曲线刚构箱梁桥的蛇形运动规律。Abstract: The real time position of the sun was determined by using the theory of solar physics. Combining with the ray tracing algorithm, the time-varying light surfaces of structure were selected in real time, and the time-varying thermal boundary conditions of structure were obtained. Taking a small radius curved rigid frame box girder bridge in Shijiazhai Interchange of Yongshun to Jishou Expressway as an engineering background, a summer day with the highest temperature was chosen by referring to the local historical meteorological data, and the finite element simulation of three-dimensional transient solar radiation time-varying temperature field of small raduis curved rigid frame box girder bridge was realized with the consideration of solar radiation, long wave radiation, convective heat transfer, wind speed and other environmental conditions. The solar radiation time-varying temperature effect on the small radius curved rigid frame box girder bridge was obtained through the thermal-structural coupling analysis. Research result shows that under the action of time-varying solar radiation, due to the covering effect of flange plate of small radius curved rigid frame box girder bridge, the direct sunlight times of box girder webs are different. The maximum temperature difference at the webs of each section of box girder is 1.3 ℃. The vertical temperature gradient variation law of roof of small radius curved rigid frame box girder bridge is similar to that in the General Specifications for Design of Highway Bridges and Culverts (JTG D60—2015). The maximum temperature difference between the upper and lower surfaces of roof is 14.3 ℃, and the temperature change of lower surface of box girder roof is about 3 h behind that of upper surface of box girder roof. The maximum transverse tensile stress at the lower surface of small radius curved rigid frame box girder bridge roof appears to be 3.13 MPa, and the transverse tensile stresses of upper surface of roof and the outer surface of web also appear to be more than 2 MPa. The displacement change trend of girder end opposites to that of mid-span of small radius curved rigid frame box girder bridge, preliminary revealing a serpentine movement law of small radius curved rigid frame box girder bridge under the action of time-varying solar radiation.
-
图 5 17:00时桥梁结构不同截面沿路径a、b的温度变化
Figure 5. Temperature variations of different cross sections of bridge structure along paths a and b at 17:00
图 6 顶板上下表面温度变化和温差变化时程
Figure 6. Time histories of temperature variation and temperature difference at upper and lower surfaces of roof
图 7 内侧腹板外表面温度变化和内外表面温差变化
Figure 7. Temperature change of outer surface of inner web and temperature difference change between inner and outer surfaces
图 8 外侧腹板外表面温度变化和内外表面温差变化
Figure 8. Temperature change of outer surface of outer web and temperature difference change between inner and outer surfaces
图 9 箱梁截面纵向应力时程
Figure 9. Time histories of longitudinal stress of cross sections of box girder
图 10 箱梁截面横向应力时程
Figure 10. Time histories of transverse stress of cross sections of box girder
图 12 不同截面点1的径向和切向位移时程
Figure 12. Radial and tangential displacement time histories of point 1 at different cross sections
表 1 参数Ak和Bk的取值
Table 1. Values of coefficients Akand Bk
k Ak Bk 0 2.087 0×10-4 0 1 9.286 9×10-3 -1.222 9×10-4 2 -5.225 8×10-2 -1.569 8×10-4 3 -1.307 7×10-3 -5.160 2×10-4 4 -2.186 7×10-3 -2.982 3×10-4 5 -1.510 0×10-4 -2.346 3×10-4 
下载: 导出CSV
-
[1] 《中国公路学报》编辑部. 中国桥梁工程学术研究综述·2014[J]. 中国公路学报, 2014, 27 (5): 1-96.Editorial Department of China Journal of Highway and Transport. Review on China's bridge engineering research: 2014[J]. China Journal of Highway and Transport, 2014, 27 (5): 1-96. (in Chinese). [2] 陈彦江, 王力波, 李勇. 钢-混凝土组合梁桥温度场及温度效应研究[J]. 公路交通科技, 2014, 31 (11): 85-91. doi: 10.3969/j.issn.1002-0268.2014.11.014CHEN Yan-jiang, WANG Li-bo, LI Yong. Research of temperature field and its effect of steel-concrete composite girder bridge[J]. Journal of Highway and Transportation Research and Development, 2014, 31 (11): 85-91. (in Chinese). doi: 10.3969/j.issn.1002-0268.2014.11.014 [3] MENG Qing-ling, ZHU Jin-song. Fine temperature effect analysis-based time-varying dynamic properties evaluation of long-span suspension bridges in natural environments[J]. Journal of Bridge Engineering, 2018, 23 (10): 04018075-1-19. doi: 10.1061/(ASCE)BE.1943-5592.0001279 [4] WANG Yong-bao, ZHAN Yu-lin, ZHAO Ren-da. Analysis of thermal behavior on concrete box-girder arch bridges under convection and solar radiation[J]. Advances in Structural Engineering, 2016, 19 (7): 1043-1059. doi: 10.1177/1369433216630829 [5] GU Bin, CHEN Zhi-jian, CHEN Xin-di. Temperature gradients in concrete box girder bridge under effect of cold wave[J]. Journal of Central South University, 2014, 21: 1227-1241. doi: 10.1007/s11771-014-2057-6 [6] ZHOU Guang-dong, YI Ting-hua, CHEN Bin, et al. Analysis of three-dimensional thermal gradients for arch bridge girders using long-term monitoring data[J]. Smart Structures and Systems, 2015, 15 (2): 469-488. doi: 10.12989/sss.2015.15.2.469 [7] 赵人达, 王永宝. 日照作用下混凝土箱梁温度场边界条件研究[J]. 中国公路学报, 2016, 29 (7): 52-61. doi: 10.3969/j.issn.1001-7372.2016.07.007ZHAO Ren-da, WANG Yong-bao. Studies on temperature field boundary conditions for concrete box-girder bridges under solar radiation[J]. China Journal of Highway and Transport, 2016, 29 (7): 52-61. (in Chinese). doi: 10.3969/j.issn.1001-7372.2016.07.007 [8] 高飞, 陈潘, 翁顺, 等. 非均匀日照条件下结构的三维温度场分析[J]. 土木工程与管理学报, 2018, 35 (4): 1-6. doi: 10.3969/j.issn.2095-0985.2018.04.001GAO Fei, CHEN Pan, WENG Shun, et al. Analysis of 3D temperature distribution of a structure subject to nonuniform solar radiation[J]. Journal of Civil Engineering and Management, 2018, 35 (4): 1-6. (in Chinese). doi: 10.3969/j.issn.2095-0985.2018.04.001 [9] CHEN Bo, SUN Yu-zhou, WANG Gan-jun, et al. Assessment on time-varying thermal loading of engineering structures based on a new solar radiation model[J]. Mathematical Problems in Engineering, 2014, 2014: 1-15. [10] 彭友松. 混凝土桥梁结构日照温度效应理论及应用研究[D]. 成都: 西南交通大学, 2007.PENG You-song. Studies on theory of solar radiation thermal effects on concrete bridges with application[D]. Chengdu: Southwest Jiaotong University, 2007. (in Chinese). [11] ZHOU Guang-dong, YI Ting-hua. Thermal load in large-scale bridges: a state-of-the-art review[J]. International Journal of Distributed Sensor Networks, 2013, 2013: 1-17. doi: 10.1155/2013/469076 [12] 孙文, 吴亚平, 季日臣. 干寒地区太阳辐射影响下箱型梁温度效应分析[J]. 铁道工程学报, 2016 (1): 65-69. doi: 10.3969/j.issn.1006-2106.2016.01.013SUN Wen, WU Ya-ping, JI Ri-chen. Analysis of temperature effect of box girder under solar radiation in dry cold region[J]. Journal of Railway Engineering Society, 2016 (1): 65-69. (in Chinese). doi: 10.3969/j.issn.1006-2106.2016.01.013 [13] 肖新辉, 刘扬, 郭鑫, 等. 组合高墩大跨连续刚构桥箱梁日照温度场观测与效应分析[J]. 铁道科学与工程学报, 2014, 11 (1): 10-16. https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD201401003.htmXIAO Xin-hui, LIU Yang, GUO Xin, et al. Observation and study of temperature distribution in combination of high pier large span continuous and rigid frame bridge[J]. Journal of Railway Science and Engineering, 2014, 11 (1): 10-16. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-CSTD201401003.htm [14] 林国涛, 苏波. 山区桥梁超高墩日照温度效应数值分析[J]. 土木工程与管理学报, 2018, 35 (4): 112-116. doi: 10.3969/j.issn.2095-0985.2018.04.018LIN Guo-tao, SU Bo. Numerical analysis of sunshine temperature effect on super high pier of mountain bridge[J]. Journal of Civil Engineering and Management, 2018, 35 (4): 112-116. (in Chinese). doi: 10.3969/j.issn.2095-0985.2018.04.018 [15] 汪剑, 方志. 混凝土箱梁桥的温度场分析[J]. 湖南大学学报(自然科学版), 2008, 35 (4): 23-28. https://www.cnki.com.cn/Article/CJFDTOTAL-HNDX200804004.htmWANG Jian, FANG Zhi. Temperature variation of concrete box girder bridge[J]. Journal of Hunan University (Natural Sciences), 2008, 35 (4): 23-28. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HNDX200804004.htm [16] 董旭, 邓振全, 李树忱, 等. 大跨波形钢腹板箱梁桥日照温度场及温差效应研究[J]. 工程力学, 2017, 34 (9): 230-238. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201709027.htmDONG Xu, DENG Zhen-quan, LI Shu-chen, et al. Research on sun light temperature field and thermal difference effect of long span box girder bridge with corrugated steel webs[J]. Engineering Mechanics, 2017, 34 (9): 230-238. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201709027.htm [17] ZHU Jin-song, MENG Qing-ling. Effective and fine analysis for temperature effect of bridges in natural environments[J]. Journal of Bridge Engineering, 2017, 22 (6): 04017017-1-19. doi: 10.1061/(ASCE)BE.1943-5592.0001039 [18] LIU Jiang, LIU Yong-jian, FANG Jian-hong, et al. Vertical temperature gradient patterns of上-shaped steel-concrete composite girder in arctic-alpine plateau region[J]. Journal of Traffic and Transportation Engineering, 2017, 17 (4): 32-44. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-JYGC202101010.htm [19] LARSSON O, THELANDERSSON S. Estimating extreme values of thermal gradients in concrete structures[J]. Materials and Structures, 2011, 44 (8): 1491-1500. [20] 包中学. 高墩小半径曲线梁桥收缩徐变和温度效应研究[D]. 哈尔滨: 哈尔滨工业大学, 2008.BAO Zhong-xue. Research on creep shrink and temperature effect of high pier and small radius curved bridge[D]. Harbin: Harbin Institute of Technology, 2008. (in Chinese). [21] 卢文良, 季文玉, 杜进生. 铁路混凝土箱梁温度场及温度效应[J]. 中国铁道科学, 2006, 27 (6): 49-54. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK200606010.htmLU Wen-liang, JI Wen-yu, DU Jin-sheng. Temperature field and temperature effect of railway concrete box girder[J]. China Railway Science, 2006, 27 (6): 49-54. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGTK200606010.htm [22] KIM S H, CHO K I, WON J H, et al. A study on thermal behavior of curved steel box girder bridges considering solar radiation[J]. Archives of Civil and Mechanical Engineering, 2009, 9 (3): 59-76. [23] LAMM L O. A new analytic expression for the equation of time[J]. Solar Energy, 1981, 26 (5): 465-465. [24] SONG Zhi-wen, XIAO Jian-zhuang, SHEN Lu-ming. On temperature gradients in high-performance concrete box girder under solar radiation[J]. Advances in Structural Engineering, 2012, 15 (3): 399-415. [25] 闫斌, 刘施, 戴公连, 等. 我国典型地区无砟轨道非线性温度梯度及温度荷载模式[J]. 铁道学报, 2016, 38 (8): 81-86. https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201608012.htmYAN Bin, LIU Shi, DAI Gong-lian, et al. Vertical nonlinear temperature distribution and temperature mode of unballasted track in typical areas of China[J]. Journal of the China Railway Society, 2016, 38 (8): 81-86. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TDXB201608012.htm [26] 徐丰. 混凝土箱梁桥温度效应关键因素研究[D]. 武汉: 华中科技大学, 2009.XU Feng. Study on the key factors of temperature effect of concrete box-girder bridges[D]. Wuhan: Huazhong University of Science and Technology, 2009. (in Chinese). [27] 宋志文, 肖建庄, 赵勇. 基于试验测定的混凝土热工参数反演计算[J]. 同济大学学报(自然科学版), 2010, 38 (1): 35-38. https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201001008.htmSONG Zhi-wen, XIAO Jian-zhuang, ZHAO Yong. Back-analysis of concrete thermal parameters based on experimental measurements[J]. Journal of Tongji University (Natural Science), 2010, 38 (1): 35-38. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TJDZ201001008.htm [28] 张誉瀚. 大跨混凝土箱梁桥日照最不利温度场及温度应力研究[D]. 成都: 西南交通大学, 2017.ZHANG Yu-han. The most unfavorable solar temperature field and thermal stress of long-span concrete box girder[D]. Chengdu: Southwest Jiaotong University, 2017. (in Chinese). [29] 闫斌, 戴公连, 苏海霆. 基于气象参数的轨道板竖向温度梯度预测模型[J]. 华南理工大学学报(自然科学版), 2014, 42 (12): 9-13. https://www.cnki.com.cn/Article/CJFDTOTAL-HNLG201412003.htmYAN Bin, DAI Gong-lian, SU Hai-ting. A meteorological parameters-based prediction model of vertical temperature gradient of track plate[J]. Journal of South China University of Technology (Natural Science Edition), 2014, 42 (12): 9-13. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-HNLG201412003.htm [30] 顾斌, 陈志坚, 陈欣迪. 基于气象参数的混凝土箱梁日照温度场仿真分析[J]. 东南大学学报(自然科学版), 2012, 42 (5): 950-955. https://www.cnki.com.cn/Article/CJFDTOTAL-DNDX201205029.htmGU Bin, CHEN Zhi-jian, CHEN Xin-di. Simulation analysis for solar temperature field of concrete box girder based on meteorological parameters[J]. Journal of Southeast University (Natural Science Edition), 2012, 42 (5): 950-955. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-DNDX201205029.htm -
点击查看大图
图(12) / 表(1)
计量
- 文章访问数: 2179
- HTML全文浏览量: 250
- PDF下载量: 1271
- 被引次数: 0
