A 3D modelling method for temperature field of mountain bridges coupled with numerical simulation and spatio-temporal interpolation fusion

doi:10.11947/j.AGCS.2025.20240123

Abstract

Abstract:

Temperature field modelling is crucial for bridge construction and refined management. However, the temperature difference in mountainous areas varies greatly, and the existing temperature field simulation methods based on finite element analysis face challenges due to sparse results and inhomogeneous spatio-temporal distributions, making it difficult to describe bridges' temperature changes accurately. This article proposes a 3D modelling method for temperature field of mountain bridges coupled with numerical simulation and spatio-temporal interpolation fusion. First, a numerical simulation model of the solar radiation temperature field for mountainous bridges is established; Second, the temperature simulation results are registered with the bridge voxel model, and spatio-temporal interpolation fusion is adopted to model the temperature field of mountainous bridges. Next, efficient visualization of the temperature field of mountainous bridges is achieved based on ray casting. Finally, a large-scale steel truss cable-stayed bridge in Ganzi, Sichuan province, China, is selected as a case study for experimental analysis. The experimental results show that the proposed method can effectively complement the temperature field simulation results to accurately depict the spatio-temporal distribution and variation patterns of the temperature field of mountainous bridges. The interpolation fusion accuracy was improved by 22.11% and 7.38% compared to spatial and temporal interpolation, respectively. The visualization frame rate has increased by 36.4% through volume rendering, which can provide key data support for subsequent intelligent construction and refined management of mountainous bridges driven by digital twins. Also, it offers crucial reference value for the realistic representation of environmental parameters of the component-level 3D real scene model.

Key words: mountain bridges, temperature field simulation, 3D modelling, spatio-temporal interpolation fusion, volume rendering optimization

CLC Number:

P234.1

Weilian LI, Jun ZHU, Qing ZHU, Jialuo LI. A 3D modelling method for temperature field of mountain bridges coupled with numerical simulation and spatio-temporal interpolation fusion[J]. Acta Geodaetica et Cartographica Sinica, 2025, 54(4): 749-759.

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References 28

[1]	勾红叶, 杨彪, 华辉, 等. 桥梁信息化及智能桥梁2019年度研究进展[J]. 土木与环境工程学报(中英文), 2020, 42(5): 14-27.
	GOU Hongye, YANG Biao, HUA Hui, et al. State-of-the-art review of bridge informatization and intelligent bridge in 2019[J]. Journal of Civil and Environmental Engineering, 2020, 42(5): 14-27.
[2]	王同军. 铁路桥梁智能建造关键技术研究[J]. 中国铁路, 2021(9): 1-10.
	WANG Tongjun. Research on key technologies for intelligent construction of railway bridge[J]. China Railway, 2021(9): 1-10.
[3]	ZHOU Xuhong, ZHANG Xigang. Thoughts on the development of bridge technology in China[J]. Engineering, 2019, 5(6): 1120-1130.
[4]	LI Weilian, ZHU Jun, DANG Pei, et al. Immersive virtual reality as a tool to improve bridge teaching communication[J]. Expert Systems with Applications, 2023, 217: 119502.
[5]	卢春房, 蔡超勋. 川藏铁路工程建设安全面临的挑战与对策[J]. 建设机械技术与管理, 2020, 33(2): 28-34.
	LU Chunfang, CAI Chaoxun. Challenges and countermeasures for construction safety during the Sichuan-Xizang railway project[J]. Construction Machinery Technology & Management, 2020, 33(2): 28-34.
[6]	朱军, 朱庆, 祝兵, 等. 数字孪生驱动的桥梁智能建造方法[J]. 遥感学报, 2024, 28(5): 1340-1349.
	ZHU Jun, ZHU Qing, ZHU Bing, et al. Intelligent bridge construction method driven by digital twin[J]. National Remote Sensing Bulletin, 2024, 28(5): 1340-1349.
[7]	刘纪平, 刘猛猛, 徐胜华, 等. 大数据时代下的一体化综合减灾技术综述[J]. 武汉大学学报(信息科学版), 2020, 45(8): 1107-1116.
	LIU Jiping, LIU Mengmeng, XU Shenghua, et al. A survey on integrated and comprehensive disaster reduction technology in the era of big data[J]. Geomatics and Information Science of Wuhan University, 2020, 45(8): 1107-1116.
[8]	朱庆, 张利国, 丁雨淋, 等. 从实景三维建模到数字孪生建模[J]. 测绘学报, 2022, 51(6): 1040-1049. DOI:. doi: 10.11947/j.AGCS.2022.20210640
	ZHU Qing, ZHANG Liguo, DING Yulin, et al. From real 3D modeling to digital twin modeling[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(6): 1040-1049. DOI:. doi: 10.11947/j.AGCS.2022.20210640
[9]	刘伟涛, 房志明, 郑梓怡, 等. 基于多元线性回归桥梁温度响应预测研究[J]. 建模与仿真, 2024, 13(6): 6000-6008.
	LIU Weitao, FANG Zhiming, ZHENG Ziyi, et al. Prediction study of bridge temperature response based on multiple linear regression[J]. Modeling and Simulation, 2024, 13(6): 6000-6008.
[10]	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.
	DONG Xu, DENG Zhenquan, LI Shuchen, 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.
[11]	魏欣宇. 高海拔山区中小跨度铁路钢-砼结合梁温度效应和结构优化研究[D]. 成都: 西南交通大学, 2021.
	WEI Xinyu. Study on temperature effect and structural optimization of steel concrete composite beam for medium and small span railway in high altitude mountainous area[D]. Chengdu: Southwest Jiaotong University, 2021.
[12]	张宸瑜. 钢板组合梁桥日照非均匀温度场及温度效应研究[D]. 西安: 长安大学, 2021.
	ZHANG Chenyu. Non-uniform temperature field and thermal effect of steel-concrete composite I-Girder bridges under solar radiation[D]. Xi'an: Chang'an University, 2021.
[13]	李全林. 日照下混凝土箱梁温度场和温度应力研究[D]. 长沙: 湖南大学, 2004.
	LI Quanlin. Research of temperature field & temperature stress of concrete box girder caused by the solar radiation[D]. Changsha: Hunan University, 2004.
[14]	MIAO Changqing, SHI Changhua. Temperature gradient and its effect on flat steel box girder of long-span suspension bridge[J]. Science China Technological Sciences, 2013, 56(8): 1929-1939.
[15]	ABID S R, TAYŞI N, ÖZAKÇA M. Experimental analysis of temperature gradients in concrete box-girders[J]. Construction and Building Materials, 2016, 106: 523-532.
[16]	ZHOU Guangdong, YI Tinghua. Thermal load in large-scale bridges: a state-of-the-art review[J]. International Journal of Distributed Sensor Networks, 2013, 9(12): 217983.
[17]	ZHOU Linren, XIA Yong, BROWNJOHN J M W, et al. Temperature analysis of a long-span suspension bridge based on field monitoring and numerical simulation[J]. Journal of Bridge Engineering, 2016, 21(1): 04015027.
[18]	王虎, 陈翔, 王雅. 桥面铺装层温度场的有限元模拟及剪应力分布分析[J]. 徐州工程学院学报(自然科学版), 2020, 35(1): 32-36.
	WANG Hu, CHEN Xiang, WANG Ya. Finite element simulation of temperature field and shear stress distribution analysis of bridge deck pavement[J]. Journal of Xuzhou Institute of Technology (Natural Sciences Edition), 2020, 35(1): 32-36.
[19]	薛仪. 基于气象共享数据的混凝土箱型梁桥温度场分析方法[D]. 广州: 华南理工大学, 2020.
	XUE Yi. Analysis method of temperature field of concrete boxgirder bridge based on shared weather data[D]. Guangzhou: South China University of Technology, 2020.
[20]	POUGET S, SAUZÉAT C, DI BENEDETTO H, et al. Modeling of viscous bituminous wearing course materials on orthotropic steel deck[J]. Materials and Structures, 2012, 45(7): 1115-1125.
[21]	自然资源部办公厅. 全面推进实景三维中国建设的通知[EB/OL]. [2024-02-20]. http://gi.mnr.gov.cn/202202/t20220225_2729401.html.
	General Office of the Ministry of Natural Resources. Notice on comprehensively promoting the construction of China's 3D realistic geospatial scene[EB/OL]. [2024-02-20]. http://gi.mnr.gov.cn/202202/t20220225_2729401.html.
[22]	姚巍, 王谱佐. 实景三维技术发展态势——ⅩⅪⅤ ISPRS Congress报告[J]. 时空信息学报, 2023, 30(2): 167-176.
	YAO Wei, WANG Puzuo. Development trend analysis of real-scene 3D technology: ⅩⅪⅤ ISPRS congress report[J]. Journal of Spatio-temporal Information, 2023, 30(2): 167-176.
[23]	陈军, 刘建军, 田海波. 实景三维中国建设的基本定位与技术路径[J]. 武汉大学学报(信息科学版), 2022, 47(10): 1568-1575.
	CHEN Jun, LIU Jianjun, TIAN Haibo. Basic directions and technological path for building 3D realistic geospatial scene in China[J]. Geomatics and Information Science of Wuhan University, 2022, 47(10): 1568-1575.
[24]	陈军, 王艳慧, 武昊, 等. 时空信息赋能高质量发展的基本问题与发展方向[J]. 时空信息学报, 2023, 30(1): 1-11.
	CHEN Jun, WANG Yanhui, WU Hao, et al. Basic issues and development directions of high-quality development empowered by spatio-temporal information[J]. Journal of Spatio-temporal Information, 2023, 30(1): 1-11.
[25]	朱庆, 李函侃, 曾浩炜, 等. 面向数字孪生川藏铁路的实体要素分类与编码研究[J]. 武汉大学学报(信息科学版), 2020, 45(9): 1319-1327.
	ZHU Qing, LI Hankan, ZENG Haowei, et al. Classification and coding of entity features for digital twin Sichuan-Xizang railway[J]. Geomatics and Information Science of Wuhan University, 2020, 45(9): 1319-1327.
[26]	杨高朝, 王庆, 蔚保国, 等. 基于抗差LM的视觉惯性里程计与伪卫星混合高精度室内定位[J]. 测绘学报, 2022, 51(1): 18-30. DOI:. doi: 10.11947/j.AGCS.2022.20200251
	YANG Gaochao, WANG Qing, YU Baoguo, et al. High-precision indoor positioning based on robust LM visual inertial odometer and pseudosatellite[J]. Acta Geodaetica et Cartographica Sinica, 2022, 51(1): 18-30. DOI:. doi: 10.11947/j.AGCS.2022.20200251
[27]	ZHANG Heng, ZHAO Wen, HAN Zujie, et al. Knowledge-guided digital twin modeling method of generating hierarchical scenes for a high-speed railway[J]. Transactions in GIS, 2023, 27(7): 2017-2041.
[28]	朱军, 赖建波, 谢亚坤, 等. 知识引导的桥梁建造过程时空叙事三维可视化方法[J]. 武汉大学学报（信息科学版）, 2024, 49(9): 1650-1660.
	ZHU Jun, LAI Jianbo, XIE Yakun, et al. Knowledge-guided spatiotemporal narrative 3D visualization method for the bridge construction process[J]. Geomatics and Information Science of Wuhan University, 2024, 49(9): 1650-1660.

模型	最高温度/℃	平均最高温度/℃	温差/℃
左岸桥塔	47.75	27.00	20.75
右岸桥塔	44.42	29.03	15.39
钢桁梁单元	65.16	37.41	27.75

方法	左岸桥塔	右岸桥塔	钢桁梁单元
时空插值融合	0.004 97	0.005 24	0.004 98
时间插值	0.007 51	0.006 13	0.005 86
空间插值	0.005 41	0.005 68	0.005 31