Study on the dynamic response characteristics of loess slope under traffic load based on numerical modelling
-
摘要:
为了研究黄土边坡在交通荷载作用下的动力响应规律,文章采用有限差分软件建立典型黄土边坡数值模型,对边坡变形以及不同轴载、不同速度车辆荷载作用下边坡表面和内部的竖向最大加速度、速度和位移的变化规律进行分析,结果表明:施加交通荷载后,边坡剪应变增量带由坡脚向坡顶延伸发展,有发展为潜在滑移面的可能,且边坡失稳最先从坡脚处剪切破坏开始;随着与荷载源距离逐渐增加,边坡表面和内部各监测点的竖向最大加速度、速度和位移逐渐减小;在相同速度不同轴载情况下,随着轴载的不断增大,边坡表面和内部各监测点的竖向最大速度、加速度和位移都呈增大趋势;在固定轴载不同速度情况下,坡体内部和表面各监测点的竖向最大加速度和速度随着车速的增加,基本上呈增大的趋势,位移则随着行车速度的增加而逐渐减小。研究成果对认识交通荷载对黄土边坡的动力响应以及黄土地区道路施工具有重要的理论意义和工程应用价值。
Abstract:This study aims to explore the dynamic response of loess slopes under traffic loads. By using finite difference software, a comprehensive numerical model of a typical loess slope was established. The analysis focused on understanding variations in slope deformation, vertical maximum acceleration, velocity, and displacement on the surface and inside of the slope under different axle loads and vehicle speeds. The results show that after applying traffic load, the shear strain increment zone of the slope extends from the toe to the crest. This extension indicates a potential development of the slip surface, and the instability of the slope begins with shear failure at the toe. As the distance from the load source increases, the vertical maximum acceleration, velocity, and displacement at each monitoring point on the surface and inside of the slope gradually decrease. Under the same speed and different axle load conditions, as the axle load increases, the vertical maximum velocity, acceleration, and displacement at each monitoring point on the surface and inside of the slope all show an increasing trend. Under fixed axle load and different speed conditions, the vertical maximum acceleration and velocity at each monitoring point inside and on the surface of the slope generally increase with the increase of vehicle speed, while the displacement gradually decreases with the increase of driving speed. The research findings have important theoretical significance and practical engineering application value for understanding the dynamic response of loess slopes to traffic load and road construction within loess regions.
-
Key words:
- loess slope /
- traffic load /
- dynamic response /
- numerical modelling
-
-
表 1 斜坡体物理力学参数表
Table 1. Physical and mechanical parameters of the slope
岩土体 天然密度
/(kg·m−3)黏聚力
/kPa内摩擦角
/(°)体积模量
/MPa剪切模量
/MPa道路 2500 − − 600 360 斜坡体 1850 15 18 16.67 7.69 -
[1] 张永双,郭长宝,李向全,等. 川藏铁路廊道关键水工环地质问题:现状与发展方向[J]. 水文地质工程地质,2021,48(5):1 − 12. [ZHANG Yongshuang,GUO Changbao,LI Xiangquan,et al. Key problems on hydro-engineering-environmental geology along the Sichuan-Tibet Railway corridor:Current status and development direction[J]. Hydrogeology & Engineering Geology,2021,48(5):1 − 12. (in Chinese with English abstract)]
ZHANG Yongshuang, GUO Changbao, LI Xiangquan, et al. Key problems on hydro-engineering-environmental geology along the Sichuan-Tibet Railway corridor: Current status and development direction[J]. Hydrogeology & Engineering Geology, 2021, 48(5): 1 − 12. (in Chinese with English abstract)
[2] 郭长宝,张永双,王涛,等. 南北活动构造带中段地质灾害与重大工程地质问题概论[J]. 地质力学学报,2017,23(5):707 − 722. [GUO Changbao,ZHANG Yongshuang,WANG Tao,et al. Discussion on geological hazards and major engineering geological problems in the middle part of the north-south active tectonic zone,China[J]. Journal of Geomechanics,2017,23(5):707 − 722. (in Chinese with English abstract)] doi: 10.3969/j.issn.1006-6616.2017.05.008
GUO Changbao, ZHANG Yongshuang, WANG Tao, et al. Discussion on geological hazards and major engineering geological problems in the middle part of the north-south active tectonic zone, China[J]. Journal of Geomechanics, 2017, 23(5): 707 − 722. (in Chinese with English abstract) doi: 10.3969/j.issn.1006-6616.2017.05.008
[3] 简文彬,胡忠志,樊秀峰,等. 边坡对循环荷载的响应研究[J]. 岩石力学与工程学报,2008,27(12):2562 − 2567. [JIAN Wenbin,HU Zhongzhi,FAN Xiufeng,et al. Research on responses of slope under cyclic load[J]. Chinese Journal of Rock Mechanics and Engineering,2008,27(12):2562 − 2567. (in Chinese with English abstract)] doi: 10.3321/j.issn:1000-6915.2008.12.025
JIAN Wenbin, HU Zhongzhi, FAN Xiufeng, et al. Research on responses of slope under cyclic load[J]. Chinese Journal of Rock Mechanics and Engineering, 2008, 27(12): 2562 − 2567. (in Chinese with English abstract) doi: 10.3321/j.issn:1000-6915.2008.12.025
[4] 任权,王家鼎,谷天峰,等. 列车长持时振动引起黄土滑坡微结构变化研究[J]. 水文地质工程地质,2013,40(4):117 − 120. [REN Quan,WANG Jiading,GU Tianfeng,et al. Research on the micro-structure change in the slide-zone soil in loess landslide caused by train-induced long-term vibration[J]. Hydrogeology & Engineering Geology,2013,40(4):117 − 120. (in Chinese with English abstract)]
REN Quan, WANG Jiading, GU Tianfeng, et al. Research on the micro-structure change in the slide-zone soil in loess landslide caused by train-induced long-term vibration[J]. Hydrogeology & Engineering Geology, 2013, 40(4): 117 − 120. (in Chinese with English abstract)
[5] 言志信,刘灿,彭宁波,等. 交通荷载作用下锚固公路边坡动力响应[J]. 长安大学学报(自然科学版),2015,35(1):61 − 67. [YAN Zhixin,LIU Can,PENG Ningbo,et al. Dynamic response of anchoring highway slope under dynamic loads[J]. Journal of Chang’an University (Natural Science Edition),2015,35(1):61 − 67. (in Chinese with English abstract)] doi: 10.3969/j.issn.1671-8879.2015.01.010
YAN Zhixin, LIU Can, PENG Ningbo, et al. Dynamic response of anchoring highway slope under dynamic loads[J]. Journal of Chang’an University (Natural Science Edition), 2015, 35(1): 61 − 67. (in Chinese with English abstract) doi: 10.3969/j.issn.1671-8879.2015.01.010
[6] 陈瑞青,张存巍. 循环荷载作用下土质边坡动力响应分析[J]. 科学技术与工程,2016,16(3):112 − 117. [CHEN Ruiqing,ZHANG Cunwei. Analysis of soil slope dynamic response under cyclic loads[J]. Science Technology and Engineering,2016,16(3):112 − 117. (in Chinese with English abstract)] doi: 10.3969/j.issn.1671-1815.2016.03.019
CHEN Ruiqing, ZHANG Cunwei. Analysis of soil slope dynamic response under cyclic loads[J]. Science Technology and Engineering, 2016, 16(3): 112 − 117. (in Chinese with English abstract) doi: 10.3969/j.issn.1671-1815.2016.03.019
[7] 简文彬,洪儒宝,樊秀峰,等. 循环荷载下节理岩体边坡动力响应的试验研究[J]. 岩石力学与工程学报,2016,35(12):2409 − 2416. [JIAN Wenbin,HONG Rubao,FAN Xiufeng,et al. Experimental study of dynamic response of jointed rock slopes under cyclic loads[J]. Chinese Journal of Rock Mechanics and Engineering,2016,35(12):2409 − 2416. (in Chinese with English abstract)]
JIAN Wenbin, HONG Rubao, FAN Xiufeng, et al. Experimental study of dynamic response of jointed rock slopes under cyclic loads[J]. Chinese Journal of Rock Mechanics and Engineering, 2016, 35(12): 2409 − 2416. (in Chinese with English abstract)
[8] MA Zongyuan,LIAO Hongjian,DANG Faning,et al. Seismic slope stability and failure process analysis using explicit finite element method[J]. Bulletin of Engineering Geology and the Environment,2021,80(2):1287 − 1301. doi: 10.1007/s10064-020-01989-3
[9] PINYOL N M,DI CARLUCCIO G,ALONSO E E. A slow and complex landslide under static and seismic action[J]. Engineering Geology,2022,297:106478. doi: 10.1016/j.enggeo.2021.106478
[10] 贾唯龙,常晁瑜,李佩茹,等. 基于颗粒流方法的黄土地震滑坡数值模拟[J]. 地震学报,2022,44(4):677 − 687. [JIA Weilong,CHANG Chaoyu,LI Peiru,et al. Numerical simulation of earthquake-induced loess landslides based on particle flow method[J]. Acta Seismologica Sinica,2022,44(4):677 − 687. (in Chinese with English abstract)] doi: 10.11939/jass.20210035
JIA Weilong, CHANG Chaoyu, LI Peiru, et al. Numerical simulation of earthquake-induced loess landslides based on particle flow method[J]. Acta Seismologica Sinica, 2022, 44(4): 677 − 687. (in Chinese with English abstract) doi: 10.11939/jass.20210035
[11] DAI Jinhao,YANG Jianhua,YAO Chi,et al. Study on the mechanism of displacement mutation for jointed rock slopes during blasting excavation[J]. International Journal of Rock Mechanics and Mining Sciences,2022,150:105032. doi: 10.1016/j.ijrmms.2021.105032
[12] 姜谙男,张权,吴洪涛,等. 基于改进局部安全度的爆破作用边坡稳定性分析[J]. 岩土力学,2019,40(增刊1):511 − 518. [JIANG Annan,ZHANG Quan,WU Hongtao,et al. Local safety methodStability analysis of slope affected by blasting based on improved [J]. Rock and Soil Mechanics,2019,40(Sup 1):511 − 518. (in Chinese with English abstract)]
JIANG Annan, ZHANG Quan, WU Hongtao, et al. Local safety methodStability analysis of slope affected by blasting based on improved [J]. Rock and Soil Mechanics, 2019, 40(Sup 1): 511 − 518. (in Chinese with English abstract)
[13] 周子涵,陈忠辉,王建明,等. 爆破荷载作用下露天矿边坡稳定性的突变研究[J]. 岩土力学,2020,41(3):849 − 857. [ZHOU Zihan,CHEN Zhonghui,WANG Jianming,et al. Catastrophe analysis of open-pit slope stability under blasting load[J]. Rock and Soil Mechanics,2020,41(3):849 − 857. (in Chinese with English abstract)]
ZHOU Zihan, CHEN Zhonghui, WANG Jianming, et al. Catastrophe analysis of open-pit slope stability under blasting load[J]. Rock and Soil Mechanics, 2020, 41(3): 849 − 857. (in Chinese with English abstract)
[14] 王来贵,向丽,赵娜,等. 地震作用下顺倾多弱层岩质边坡动力响应[J]. 中国地质灾害与防治学报,2021,32(6):18 − 25. [WANG Laigui,XIANG Li,ZHAO Na,et al. Dynamic response of down-dip multi-weak-layer rock slope under earthquake[J]. The Chinese Journal of Geological Hazard and Control,2021,32(6):18 − 25. (in Chinese with English abstract)]
WANG Laigui, XIANG Li, ZHAO Na, et al. Dynamic response of down-dip multi-weak-layer rock slope under earthquake[J]. The Chinese Journal of Geological Hazard and Control, 2021, 32(6): 18 − 25. (in Chinese with English abstract)
[15] 卞康,刘建,胡训健,等. 含顺层断续节理岩质边坡地震作用下的破坏模式与动力响应研究[J]. 岩土力学,2018,39(8):3029 − 3037. [BIAN Kang,LIU Jian,HU Xunjian,et al. Study on failure mode and dynamic response of rock slope with non-persistent joint under earthquake[J]. Rock and Soil Mechanics,2018,39(8):3029 − 3037. (in Chinese with English abstract)]
BIAN Kang, LIU Jian, HU Xunjian, et al. Study on failure mode and dynamic response of rock slope with non-persistent joint under earthquake[J]. Rock and Soil Mechanics, 2018, 39(8): 3029 − 3037. (in Chinese with English abstract)
[16] 翁效林,胡继波,贾阳,等. 循环交通荷载作用下饱和重塑黄土变形特性研究[J]. 岩土工程学报,2022,44(9):1617 − 1625. [WENG Xiaolin,HU Jibo,JIA Yang,et al. Deformation characteristics of saturated remolded loess under cyclic traffic loads[J]. Chinese Journal of Geotechnical Engineering,2022,44(9):1617 − 1625. (in Chinese with English abstract)] doi: 10.11779/CJGE202209006
WENG Xiaolin, HU Jibo, JIA Yang, et al. Deformation characteristics of saturated remolded loess under cyclic traffic loads[J]. Chinese Journal of Geotechnical Engineering, 2022, 44(9): 1617 − 1625. (in Chinese with English abstract) doi: 10.11779/CJGE202209006
[17] 唐楚轩,刘杰,冯一诺,等. 交通荷载作用下非饱和风积沙路基动力响应研究[J]. 土木工程学报,2023,56(增刊1):194 − 202. [TANG Chuxuan,LIU Jie,FENG Yinuo,et al. Dynamic responses of unsaturated aeolian sand subgrade to traffic loads [J]. China Civil Engineering Journal,2023,56(Sup 1):194 − 202. (in Chinese with English abstract)]
TANG Chuxuan, LIU Jie, FENG Yinuo, et al. Dynamic responses of unsaturated aeolian sand subgrade to traffic loads [J]. China Civil Engineering Journal, 2023, 56(Sup 1): 194 − 202. (in Chinese with English abstract)
[18] 姚志雄,吉磊,刘耀星,等. 交通荷载对浅埋群洞隧道的动力影响分析[J]. 现代隧道技术,2022,59(3):107 − 117. [YAO Zhixiong,JI Lei,LIU Yaoxing,et al. Analysis of the dynamic effect of traffic load on shallow multi-tube tunnel structure[J]. Modern Tunnelling Technology,2022,59(3):107 − 117. (in Chinese with English abstract)]
YAO Zhixiong, JI Lei, LIU Yaoxing, et al. Analysis of the dynamic effect of traffic load on shallow multi-tube tunnel structure[J]. Modern Tunnelling Technology, 2022, 59(3): 107 − 117. (in Chinese with English abstract)
[19] 许旭堂,简文彬,吴能森,等. 动荷载作用下山区道路边坡耐久性研究[J]. 长江科学院院报,2019,36(1):102 − 106. [XU Xutang,JIAN Wenbin,WU Nengsen,et al. Durability of mountain road slope under dynamic loads[J]. Journal of Yangtze River Scientific Research Institute,2019,36(1):102 − 106. (in Chinese with English abstract)] doi: 10.11988/ckyyb.20170825
XU Xutang, JIAN Wenbin, WU Nengsen, et al. Durability of mountain road slope under dynamic loads[J]. Journal of Yangtze River Scientific Research Institute, 2019, 36(1): 102 − 106. (in Chinese with English abstract) doi: 10.11988/ckyyb.20170825
[20] 田飞,褚进晶. 交通荷载特性及其模拟方法研究[J]. 水利与建筑工程学报,2014,12(4):66 − 71. [TIAN Fei,CHU Jinjing. Research on traffic load characteristics and simulation methods[J]. Journal of Water Resources and Architectural Engineering,2014,12(4):66 − 71. (in Chinese with English abstract)] doi: 10.3969/j.issn.1672-1144.2014.04.012
TIAN Fei, CHU Jinjing. Research on traffic load characteristics and simulation methods[J]. Journal of Water Resources and Architectural Engineering, 2014, 12(4): 66 − 71. (in Chinese with English abstract) doi: 10.3969/j.issn.1672-1144.2014.04.012
[21] 黄仰贤. 路面分析与设计[M]. 北京:人民交通出版社,1998. [HUANG Yangxian. Pavement analysis and design. Beijing[M]. People's Communications Publish. 1998. (in Chinese)]
HUANG Yangxian. Pavement analysis and design. Beijing[M]. People's Communications Publish. 1998. (in Chinese)
[22] 柯唯. 交通荷载作用下粗粒土公路高路堤动力特性响应研究[D]. 长沙:长沙理工大学,2019. [KE Wei. Study on dynamic characteristics response of coarse-grained soil high embankment highway under traffic loading[D]. Changsha:Changsha University of Science & Technology,2019. (in Chinese with English abstract)]
KE Wei. Study on dynamic characteristics response of coarse-grained soil high embankment highway under traffic loading[D]. Changsha: Changsha University of Science & Technology, 2019. (in Chinese with English abstract)
[23] 中华人民共和国住房和城乡建设部,国家市场监督管理总局. 湿陷性黄土地区建筑标准:GB 50025—2018[S]. 北京:中国建筑工业出版社,2019. [Ministry of Housing and Urban-Rural Development of the People’s Republic of China,State Administration for Market Regulation. Standard for building construction in collapsible loess regions:GB 50025—2018[S]. Beijing:China Architecture & Building Press,2019. (in Chinese)]
Ministry of Housing and Urban-Rural Development of the People’s Republic of China, State Administration for Market Regulation. Standard for building construction in collapsible loess regions: GB 50025—2018[S]. Beijing: China Architecture & Building Press, 2019. (in Chinese)
[24] 王壮壮,黄强兵,刘悦,等. 吕梁地区不同地层结构黄土边坡坡脚开挖效应[J]. 科学技术与工程,2020,20(7):2590 − 2597. [WANG Zhuangzhuang,HUANG Qiangbing,LIU Yue,et al. Toe excavation effect of loess slope with different stratigraphic structures in Lüliang area[J]. Science Technology and Engineering,2020,20(7):2590 − 2597. (in Chinese with English abstract)] doi: 10.3969/j.issn.1671-1815.2020.07.009
WANG Zhuangzhuang, HUANG Qiangbing, LIU Yue, et al. Toe excavation effect of loess slope with different stratigraphic structures in Lüliang area[J]. Science Technology and Engineering, 2020, 20(7): 2590 − 2597. (in Chinese with English abstract) doi: 10.3969/j.issn.1671-1815.2020.07.009
[25] 张彬. 黄土动力反应分析及动力离心模型试验测试[D]. 西安:西安理工大学,2021. [ZHANG Bin. Dynamic response analysis and dynamic centrifugal model test of loess[D]. Xi’an:Xi’an University of Technology,2021. (in Chinese with English abstract)]
ZHANG Bin. Dynamic response analysis and dynamic centrifugal model test of loess[D]. Xi’an: Xi’an University of Technology, 2021. (in Chinese with English abstract)
[26] FLAC (fast lagrangian analysis of continua) user's guide,version 5.0 [M]. Minneapolis,Minnesota:ltasca Consulting Group,Inc,2005.
-