地震作用下锚杆支护边坡动力响应

郝建斌; 郭进扬; 张振北; 李金和

地震作用下锚杆支护边坡动力响应

长安大学地质工程与测绘学院, 陕西西安 710054

基金项目:

国家自然科学基金项目 41102177

国家自然科学基金项目 41472266

国家自然科学基金项目 41440021

详细信息

作者简介:
郝建斌(1975-), 女, 山西武乡人, 长安大学副教授, 工学博士, 从事岩土工程研究

中图分类号: U416.14
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出版历程
- 收稿日期: 2017-02-05
- 刊出日期: 2017-06-25

Dynamic response of anchors-supported slope under earthquake

School of Geology Engineering and Geomatics, Chang'an University, Xi'an 710054, Shaanxi, China

More Information

Author Bio:
HAO Jian-bin(1975-), female, associate professor, PhD, +86-29-82339356, dcdgx28@chd.edu.cn

摘要

摘要: 为研究填土边坡锚杆的动力响应特征与失效模式, 进行了锚杆格构支护土质边坡振动台模型试验, 采用正弦激励, 分别对边坡的加速度和锚杆的轴向应变进行了监测。分析结果表明: 在同一振动频率下, 锚杆轴向动应变幅值随加速度峰值的增大而增大; 加速度峰值较小时, 应变基本在固定正负值之间往复循环, 边坡处于稳定状态; 随着加速度峰值增大, 锚杆的最大与最小应变不再稳定, 但变化不是很大, 边坡仍处于稳定状态; 当加速度峰值达到破坏峰值时, 锚杆轴向应变不再具有规律性, 滑面处锚杆轴向应变突变最明显, 滑体与稳定体之间发生明显的相对位移。加速度峰值较小时, 中下层锚杆轴向应变较大, 中层锚杆应变约为顶层锚杆应变的2倍; 随着加速度峰值的增大, 顶层锚杆轴向应变逐渐变大, 主要由中上层锚杆承受荷载; 当加速度峰值达到破坏峰值时, 各层锚杆的动应变最大值急剧增大, 中层锚杆应变变化幅度最大, 振动过程中滑体与滑床之间出现明显分离, 锚杆被拔出。可见, 传统的边坡锚杆设计思想“强腰固脚”适合于地震设防烈度较小地区, 对于设防烈度较大地区, 锚杆设计时需适当增加上层锚杆和腰部锚杆的锚固长度。
- 边坡 /
- 锚杆 /
- 格构梁 /
- 动力响应 /
- 振动台模型试验 /
- 正弦波
Abstract: In order to investigate the dynamic response characteristic and failure mode of anchor in a soil-filled slope, a shaking table mode experiment on clathrate anchors-supported soil slopes was carried out. Sinusoidal motions were used as the incident waves, and the acceleration of slope and the axial strain of anchor were monitored. Analysis result shows that under the same vibration frequency, the axial strain amplitude of anchor increases with the increase of peak acceleration. When the peak acceleration is low, the slope is stable, and the strains of anchors recirculate between a positive value and a negative value. The maximum and minimum strains of anchor are unstable and change slightly with the increase of the peak acceleration, but the slope is still stable. When the peak acceleration reaches to the rupture limit, the axial strains of anchors are no longer regular, and the axial strains of key points on the sliding surface greatly and suddenly change, and the relative displacement is very obvious between the sliding body and the stable body. When the peak acceleration is less, the strains of middle and lower anchors are larger, and the strains of middle anchors are about two times as much as the value of top anchor. When the peak acceleration increases, the strains of top anchors gradually increase, and the middle andupper anchors bear loads mainly. When the peak acceleration reaches to the rupture limit, the maximum dynamic strains of anchors increase sharply, and the changing amplitudes of strains of middle anchors are greatest, a clear gap shows between the sliding body and the sliding bed, and the anchors are pulled out. Obviously, the traditional design idea"strengthening slope waist and reinforcing slope toe"is suitable for the areas of low seismic fortification intensity, and the top and middle anchors should be lengthened properly in the areas of high seismic fortification intensity.
- slope /
- anchor /
- lattice beam /
- dynamic response /
- shaking table test /
- sinusoidal wave

HTML全文

图 1 边坡模型

Figure 1. Slope model

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图 2 锚杆应变片布置

Figure 2. Locations of strain gauges on anchors

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图 3 边坡PGA放大系数与加速度的关系

Figure 3. Relationships between slope PGA amplification coefficient and acceleration

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图 4 工况11下锚杆6自由段中点轴向动应变时程曲线

Figure 4. Axial dynamic strain time-history curve of middle point on free section of anchor 6^# under condition 11

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图 5 工况11下锚杆6锚固段中点轴向动应变时程曲线

Figure 5. Axial dynamic strain time-history curve of middle point on anchored section of anchor 6^# under condition 11

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图 6 工况11下锚杆6滑面处轴向动应变时程曲线

Figure 6. Axial dynamic strain time-history curve of point at sliding face on anchor 6^# under condition 11

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图 7 工况26下锚杆6自由段中点轴向动应变时程曲线

Figure 7. Axial dynamic strain time-history curve of middle point on free section of anchor 6^# under condition 26

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图 8 工况26下锚杆6锚固段中点轴向动应变时程曲线

Figure 8. Axial dynamic strain time-history curve of middle point on anchored section of anchor 6^# under condition 26

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图 9 工况26下锚杆6滑面处轴向动应变时程曲线

Figure 9. Axial dynamic strain time-history curve of point at sliding face on anchor 6^# under condition 26

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图 10 振动频率为5Hz时锚杆6的轴向最大应变曲线

Figure 10. Maximal axial strain curves of anchor 6^# under vibration frequency of 5Hz

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图 11 振动频率为10Hz时锚杆6的轴向最大应变曲线

Figure 11. Maximal axial strain curves of anchor 6^# under vibration frequency of 10Hz

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图 12 振动频率为15Hz时锚杆6的轴向最大应变曲线

Figure 12. Maximal axial strain curves of anchor 6^# under vibration frequency of 15Hz

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图 13 振动频率为20Hz时锚杆6的轴向最大应变曲线

Figure 13. Maximal axial strain curves of anchor 6^# under vibration frequency of 20Hz

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图 14 加速度峰值为0.2g时锚杆的轴向应变最大值曲线

Figure 14. Maximal axial strain curves of anchors under peak acceleration of 0.2g

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图 15 加速度峰值为0.4g时锚杆的轴向应变最大值曲线

Figure 15. Maximal axial strain curves of anchors under peak acceleration of 0.4g

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图 16 加速度峰值为0.6g时锚杆的轴向应变最大值曲线

Figure 16. Maximal axial strain curves of anchors under peak acceleration of 0.6g

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图 17 加速度峰值为0.8g时锚杆的轴向应变最大值曲线

Figure 17. Maximal axial strain curves of anchors under peak acceleration of 0.8g

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图 18 加速度峰值为1.0g时锚杆的轴向应变最大值曲线

Figure 18. Maximal axial strain curves of anchors under peak acceleration of 1.0g

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图 19 坡体破坏阶段锚杆的轴向应变最大值曲线

Figure 19. Maximal axial strain curves of anchors at break stage of slope

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图 20 试验锚杆

Figure 20. Test anchors

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表 1 加载工况

Table 1. Loading conditions

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表 2 破坏试验加载工况

Table 2. Loading condition of failure test

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参考文献(31)

[1]	郝建斌. 地震作用下边坡稳定性研究进展[J]. 世界地震工程, 2014, 30 (1): 145-153. https://www.cnki.com.cn/Article/CJFDTOTAL-SJDC201401020.htm HAO Jian-bin. Progress of research on stability of slope subjected to seismic excitation[J]. World Earthquake Engineering, 2014, 30 (1): 145-153. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SJDC201401020.htm
[2]	郭海强, 姚令侃, 郭沉稳, 等. 地震强度递增沙堆模型响应机制的研究[J]. 湖南大学学报: 自然科学版, 2015, 42 (5): 99-106. doi: 10.3969/j.issn.1674-2974.2015.05.015 GUO Hai-qiang, YAO Ling-kan, GUO Chen-wen, et al. Study on the response mechanism of sandpile model tests with increased seismic loading[J]. Journal of Hunan University: Natural Sciences, 2015, 42 (5): 99-106. (in Chinese). doi: 10.3969/j.issn.1674-2974.2015.05.015
[3]	段书苏, 姚令侃, 郭沉稳. 基于侵蚀循环理论的地震触发崩塌滑坡灾势评价[J]. 湖南大学学报: 自然科学版, 2015, 42 (9): 116-123. doi: 10.3969/j.issn.1674-2974.2015.09.016 DUAN Shu-su, YAO Ling-kan, GUO Chen-wen. Tendency evaluation of collapse-landslide caused by earthquake based on the erosion cycle theory[J]. Journal of Hunan University: Natural Sciences, 2015, 42 (9): 116-123. (in Chinese). doi: 10.3969/j.issn.1674-2974.2015.09.016
[4]	黄润秋. 汶川8.0级地震触发崩滑灾害机制及其地质力学模式[J]. 岩石力学与工程学报, 2009, 28 (6): 1239-1249. doi: 10.3321/j.issn:1000-6915.2009.06.021 HUANG Run-qiu. Mechanism and geomechanical modes of landslide hazards triggered by Wenchuan 8.0Earthquake[J]. Chinese Journal of Rock Mechanics and Engineering, 2009, 28 (6): 1239-1249. (in Chinese). doi: 10.3321/j.issn:1000-6915.2009.06.021
[5]	TAKEMURA J, KUBO H, YAMAZAKI J. Field surveys of anchored slopes after 2004Niigataken Chuetsu earthquake[C]∥Thomas Telford. International Conference on Ground Anchorages and Anchored Structures in Service 2007. London: Thomas Telford, 2007: 407-416.
[6]	叶海林, 郑颖人, 黄润秋, 等. 锚杆支护岩质边坡地震动力响应分析[J]. 后勤工程学院学报, 2010, 26 (4): 1-7. doi: 10.3969/j.issn.1672-7843.2010.04.001 YE Hai-lin, ZHENG Ying-ren, HUANG Run-qiu, et al. Analysis on dynamic response of rockbolt in rock slope under earthquake[J]. Journal of Logistical Engineering University, 2010, 26 (4): 1-7. (in Chinese). doi: 10.3969/j.issn.1672-7843.2010.04.001
[7]	朱宏伟, 姚令侃, 项琴. 锚固长度对加锚边坡地震动力特性的影响[J]. 水文地质工程地质, 2012, 39 (3): 54-59. https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201203013.htm ZHU Hong-wei, YAO Ling-kan, XIANG Qin. A study of the effect of bolt length on dynamic response of anchored slopes under earthquakes[J]. Hydrogeology and Engineering Geology, 2012, 39 (3): 54-59. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-SWDG201203013.htm
[8]	LI Zhi, XU Qian, LU Gang. Seismic response of anchored slopes to the effect of seismic loads[J]. Electronic Journal of Geotechnical Engineering, 2014, 19: 3733-3744.
[9]	STAMATOPOULOS C A, BASSANOU M, BRENNAN A J, et al. Mitigation of the seismic motion near the edge of clifftype topographies[J]. Soil Dynamics and Earthquake Engineering, 2007, 27 (12): 1082-1100. doi: 10.1016/j.soildyn.2007.01.012
[10]	TRANDAFIR A C, KAMAI T, SIDLE R C. Earthquakeinduced displacements of gravity retaining walls and anchorreinforced slopes[J]. Soil Dynamics and Earthquake Engineering, 2009, 29 (3): 428-437. doi: 10.1016/j.soildyn.2008.04.005
[11]	TANNANT D D, BRUMMER R K, YI X. Rockbolt behaviour under dynamic loading: field tests and modeling[J]. International Journal of Rock Mechanics and Mining Sciences. 1995, 32 (6): 537-550.
[12]	HONG Y S, CHEN R H, WU C S, et al. Shaking table tests and stability analysis of steep nailed slope[J]. Canadian Geotechnical Journal, 2005, 42 (5): 1264-1279. doi: 10.1139/t05-055
[13]	SHUKLA S K, HOSSAIN M M. Stability analysis of multidirectional anchored rock slope subjected to surcharge and seismic loads[J]. Soil Dynamics and Earthquake Engineering, 2011, 31 (5/6): 841-844.
[14]	董建华, 朱彦鹏. 框架锚杆支护边坡地震响应分析[J]. 兰州理工大学学报, 2008, 34 (2): 118-122. https://www.cnki.com.cn/Article/CJFDTOTAL-GSGY200802029.htm DONG Jian-hua, ZHU Yan-peng. Analysis of response of slope supported with framed anchor to earthquake[J]. Journal of Lanzhou University of Technology, 2008, 34 (2): 118-122. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GSGY200802029.htm
[15]	叶海林, 黄润秋, 郑颖人, 等. 岩质边坡锚杆支护参数地震敏感性分析[J]. 岩土工程学报, 2010, 32 (9): 1374-1379. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201009013.htm YE Hai-lin, HUANG Run-qiu, ZHENG Ying-ren, et al. Sensitivity analysis of parameters for bolts in rock slopes under earthquakes[J]. Chinese Journal of Geotechnical Engineering, 2010, 32 (9): 1374-1379. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201009013.htm
[16]	彭宁波, 言志信, 刘子振, 等. 地震作用下锚固边坡稳定性数值分析[J]. 工程地质学报, 2012, 20 (1): 44-50. doi: 10.3969/j.issn.1004-9665.2012.01.007 PENG Ning-bo, YAN Zhi-xin, LIU Zi-zhen, et al. Numerical analysis on stability of slopes supported with bolts under earthquake[J]. Journal of Engineering Geology, 2012, 20 (1): 44-50. (in Chinese). doi: 10.3969/j.issn.1004-9665.2012.01.007
[17]	龙海涛. 层状软岩边坡地震动力响应特征及抗震加固措施研究——以广甘高速公路边坡为例[D]. 成都: 成都理工大学, 2012. LONG Hai-tao. Study on the seismic characteristics and antiseismic strengthening measures of stratiform soft rock slope—take the slope of the Guanggan Highway as an example[D]. Chengdu: Chengdu University of Technology, 2012. (in Chinese).
[18]	范刚, 张建经, 付晓, 等. 双排桩加预应力锚索加固边坡锚索轴力地震响应特性研究[J]. 岩土工程学报, 2016, 38 (6): 1095-1103. https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201606017.htm FAN Gang, ZHANG Jian-jing, FU Xiao, et al. Axial force of anchor cables in slope reinforced by double-row anti-slide piles and pre-stressed anchor cables[J]. Chinese Journal of Geotechnical Engineering, 2016, 38 (6): 1095-1103. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YTGC201606017.htm
[19]	叶海林, 郑颖人, 陆新, 等. 边坡锚杆地震动特性的振动台试验研究[J]. 土木工程学报, 2011, 44 (增): 152-157. https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC2011S1025.htm YE Hai-lin, ZHENG Ying-ren, LU Xin, et al. Shaking table test on anchor bars of slope under earthquake[J]. China Civil Engineering Journal, 2011, 44 (S): 152-157. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-TMGC2011S1025.htm
[20]	文畅平, 杨果林. 格构式框架护坡地震动位移模式的振动台试验研究[J]. 岩石力学与工程学报, 2011, 30 (10): 2076-2083. https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201110016.htm WEN Chang-ping, YANG Guo-lin. Shaking table model test study of seismic displacement mode of slope with anchor lattice frame structure[J]. Chinese Journal of Rock Mechanics and Engineering, 2011, 30 (10): 2076-2083. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-YSLX201110016.htm
[21]	杨果林, 文畅平. 格构锚固边坡地震响应的振动台试验研究[J]. 中南大学学报: 自然科学版, 2012, 43 (4): 1482-1493. https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201204046.htm YANG Guo-lin, WEN Chang-ping. Shaking table test study on dynamic response of slope with lattice framed anchor structure during earthquake[J]. Journal of Central South University: Science and Technology, 2012, 43 (4): 1482-1493. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZNGD201204046.htm
[22]	郝建斌, 姚婕, 黄毓挺, 等. 动力作用下锚杆格构支护土质边坡动态响应分析[J]. 地球科学与环境学报, 2015, 37 (5): 93-100. https://www.cnki.com.cn/Article/CJFDTOTAL-XAGX201505009.htm HAO Jian-bin, YAO Jie, HUANG Yu-ting, et al. Analysis of dynamic response of soil slope reinforced by anchors and lattices subjected to dynamic loads[J]. Journal of Earth Sciences and Environment, 2015, 37 (5): 93-100. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-XAGX201505009.htm
[23]	LIU Yun, GAO Feng, LI Ya. Dynamic stability analysis on a slope supported by anchor bolts and piles[J]. Electronic Journal of Geotechnical Engineering, 2015, 20 (7): 1887-1900.
[24]	董建华, 张媛, 朱彦鹏, 等. 框架预应力锚杆边坡锚固结构的随机地震反应及动力可靠度分析[J]. 中国公路学报, 2015, 28 (10): 26-33. doi: 10.3969/j.issn.1001-7372.2015.10.004 DONG Jian-hua, ZHANG Yuan, ZHU Yan-peng, et al. Random seismic response and dynamic reliability analysis of frame with prestressed anchors for stability[J]. China Journal of Highway and Transport, 2015, 28 (10): 26-33. (in Chinese). doi: 10.3969/j.issn.1001-7372.2015.10.004
[25]	LIN Yu-liang, YANG Guo-lin, YANG Xiao, et al. Response of gravity retaining wall with anchoring frame beam supporting a steep rock slope subjected to earthquake loading[J]. Soil Dynamics and Earthquake Engineering, 2017, 92: 633-649. doi: 10.1016/j.soildyn.2016.11.002
[26]	杨明, 姚令侃, 王建, 等. 斜坡堆积体抗震加固措施离心模型试验[J]. 西南交通大学学报, 2008, 43 (3): 335-340. doi: 10.3969/j.issn.0258-2724.2008.03.008 YANG Ming, YAO Ling-kan, WANG Jian, et al. Centrifuge model test of earthquake countermeasures for deposit on slope[J]. Journal of Southwest Jiaotong University, 2008, 43 (3): 335-340. (in Chinese). doi: 10.3969/j.issn.0258-2724.2008.03.008
[27]	朱彦鹏, 叶帅华. 水平地震下框架锚杆支护边坡简化分析方法[J]. 工程力学, 2011, 28 (12): 27-32. https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201112005.htm ZHU Yan-peng, YE Shuai-hua. Simplified analysis of slope supported with frame-anchors under lateral seismic loading[J]. Engineering Mechanics, 2011, 28 (12): 27-32. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-GCLX201112005.htm
[28]	叶帅华, 朱彦鹏. 框架预应力锚杆支护边坡地震动稳定性分析方法[J]. 煤炭学报, 2012, 37 (12): 1994-1998. https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB201212007.htm YE Shuai-hua, ZHU Yan-peng. Stability analysis of slope supported by frame with pre-stressed anchors under earthquake[J]. Journal of China Coal Society, 2012, 37 (12): 1994-1998. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-MTXB201212007.htm
[29]	董建华, 朱彦鹏, 马巍, 等. 框架预应力锚杆边坡支护结构抗震简化设计方法[J]. 中国公路学报, 2012, 25 (5): 38-46. https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201205011.htm DONG Jian-hua, ZHU Yan-peng, MA Wei, et al. Simplified seismic design method of frame supporting structure with prestressed anchors for slope stability[J]. China Journal of Highway and Transport, 2012, 25 (5): 38-46. (in Chinese). https://www.cnki.com.cn/Article/CJFDTOTAL-ZGGL201205011.htm
[30]	LIU Han-xiang, XU Qiang, LI Yan-rong. Effect of lithology and structure on seismic response of steep slope in a shaking table test[J]. Journal of Mountain Science, 2014, 11 (2): 371-383.
[31]	张江伟, 高晓莉, 李小军, 等. 土质边坡地震动力响应规律研究[J]. 震灾防御技术, 2016, 11 (4): 771-780. https://www.cnki.com.cn/Article/CJFDTOTAL-ZZFY201604007.htm ZHANG Jiang-wei, GAO Xiao-li, LI Xiao-jun. Dynamic response analysis of soil slope under seismic wave[J]. Technology for Earthquake Disaster Prevention, 2006, 11 (4): 771-780. (in Chinese. https://www.cnki.com.cn/Article/CJFDTOTAL-ZZFY201604007.htm