|
|
|
| A REVISED MODEL FOR PREDICTING THE BEARING CAPACITY OF ROCK BOLTS BASED ON MIXED EXPONENTIAL AND POWER UNCTION |
| SUN Xiaoyun，ZHANG Tao，WANG Mingming，WANG Zhendong |
| (School of Electrical and Electronic Engineering，University of Shijiazhuang Railway，Shijiazhuang，Hebei 050043，China) |
|
|
|
|
Abstract The elastic and elasto-plastic stages of rock are very difficult to be separated precisely and few of data in failure stage has been measured. To establish a model，fitting the P-S curve of rock bolts at large and affected little by the data at failure and the elastic stages，is therefore very important for the prediction of the ultimate bearing capacity of rock bolts with higher accuracy. After analysis of the hyperbolic，index and the power function，a general model was put forward to simulate the load and displacement curve of rock bolts(shorted for P-S curve). According to the actual P-S curve(through the origin，non-negative bounded，monotone increasing，infinite convergence and convex)，a mathematical function for P-S curve of rock bolts based on the general model was established. The exponential function model was revised and the hyperbola model were adjusted so that，a mixed function model was established. The application of the mixed function model simulated the P-S curve and the ultimate bearing capacity of rock bolts with higher accuracy.
Key words：geotechnical engineering；rock bolt P-S curve；mixed function model of improved exponential and power function；the ultimate bearing capacity of rock bolt
|
|
|
|
|
|
| [1] 许 明，张永兴，阴 可. 锚杆极限承载力的人工神经网络预测[J]. 岩石力学与工程学报，2002，21(5)：755–758.(XU Ming，ZHANG Yongxing，YIN Ke. Prediction of limit bearing capacity of bolt using artifical neural networks[J]. Chinese Journal of Rock Mechanics and Engineering，2002，21(5)：755–758.(in Chinese))
[2] 许 明，张永兴，李 燕. 锚杆承载力的灰色系统预测法[J]. 地下空间，2003，23(4)：388–390.(XU Ming，ZHANG Yongxing，LI Yan. Forecast of bolt bearing capacity using gray system[J]. Underground Space，2003，23(4)：388–390.(in Chinese))
[3] 刘明贵，等. 基于灰色系统理论的锚杆极限抗拔力预测方法[J]. 地下空间与工程学报，2006，2(6)：1 044–1 048.(LIU Minggui，et al. The prediction method of ultimate resistance capacity of bolt base on gray theory[J]. Chinese Journal of Underground Space and Engineering，2006，2(6)：1 044–1 048.(in Chinese))
[4] 薛新华，张我华，刘红军. 基于遗传神经网络的锚杆极限承载力预测的研究[J]. 工程地质学报，2006，14(2)：249–252.(XUE Xinhua，ZHANG Wohua，LIU Hongjun. Estimation of bearing capacity of bolts based on genetic neural network[J]. Journal of Engineering Geology，2006，14(2)：249–252.(in Chinese))
[5] 李军亮. 基于广义灰色模型的极限承载力建模与预测研究[D]. 武汉理工大学，2009.(LI Junliang. Study on modeling and prediction of the ultimate bearing capacity based on the generalized gray model[D]. Wuhan University of Technology，2009.(in Chinese))
[6] 应志民，张 洁，尚岳全. 锚杆荷载–位移曲线的指数函数模型研究[J]. 岩土力学，2005，08：1 331–1 334.(YING Zhimin，ZHANG Jie，SHANG Yuequan. Exponential model for simulating load- displacement curve of anchor rod[J]. Rock and Soil Mechanics，2005，8：1 331–1 334.(in Chinese))
[7] 邓志勇，陆培毅. 几种单桩竖向极限承载力预测模型的对比分析[J]. 岩土力学，2002，4：428–431+464.(DENG Zhiyong，LU Peiyi. Comparison and analysis of several predicting models of ultimate bearing capacity of single pile. Rock and Soil Mechanics，2002，4：428–431+464.(in Chinese))
[8] 赵明华，张天翔，邹新军. 支挡结构中锚杆抗拔承载力分析[J]. 中南公路工程，2003，28(4)：4–7.(ZHAO Minghua，ZHANG Tianxiang，ZOU Xinjun. Analysis of anti-pull-force for anchored bars in retaining structures[J]. Central South Highway Engineering，2003，28(4)：4–7.(in Chinese))
[9] 赵明华，胡志清. 预估试桩极限承载力的调整双曲线法[J]. 建筑结构，1995，3：47–52.(ZHAO Minghua，HU Zhiqing. The adjustment hyperbolic method of estimated test pile ultimate bearing capacity[J]. Journal of Building Structures，1995，3：47–52.(in Chinese))
[10] 蒋建平，高广运，刘文白. 描述抗拔挤扩支盘桩Q-s曲线的修正双曲线模型研究[J]. 应用基础与工程科学学报，2010，6：999–1 009. (JIANG Jianping，GAO Guangyun，LIU Wenbai. Modified hyperbolic model describing q-s curves of squeezed branch pile[J]. Journal of Basic Science and Engineering，2010，6：999–1 009.(in Chinese))
[11] 龙 照. 锚杆抗拔承载机理及其在基桩自锚测试技术中的应用[D]. 湖南大学，2007.(LONG Zhao. Uplift Mechanism of bolt and its application in self-anchored loading test technology of pile foundation[D]. Hunan University，2007.(in Chinese))
[12] 龙 照，张恩祥，魏永孝. 锚杆极限承载力预测模型及方法研究[J]. 勘察科学技术，2008，05：3–6.(LONG Zhao，ZHANG Enxiang，Wei Yongxiao. Study on prediction model of anchor rods ultimate bearing capacity and its method[J]. Site Investigation Science and Technology，2008，5：3–6.(in Chinese))
[13] 白 坡，魏庆龙，王 宁. 基于幂函数模型预估等截面抗拔桩单桩极限承载力的试验研究[J]. 粮食流通技术，2010，6：9–13.(BAI Po，WEI Qinglong，WANG Ning. Research on ultimate uplift capacity of tension piles of uniform section based on prediction of power function model[J]. Grain Distribution Technology，2010，6：9–13.(in Chinese))
[14] 张昌锁，李 义，ZOU Steve. 锚杆锚固体系中的固结波速研究[J]. 岩石力学与工程学报，2009，(增2)：3 604–3 608.(ZHANG Changsuo，LI Yi，ZOU Steve. Research on consolidation wave in grouted rock bolt structure system[J]. Chinese Journal of Rock Mechanics and Engineering，2009，(Supp.2)：3 604–3 608.
[15] 王 猛，李 义，董 嘉. 应力波法锚杆锚固质量无损检测现场实验研究[J]. 煤炭技术，2013，1：203–204.(WANG Meng，LI Yi，DONG Jia. Stress wave nondestructive testing method of rock bolt and field experimental study[J]. Coal Technology，2013，1：203–204.(in Chinese))
[16] 张胜利，张昌锁，王银涛. 锚杆锚固质量无损检测方法分析[J]. 煤矿安全，2014，5：212–215.(ZHANG Shengli，ZHANG Changsuo，WANG Yintao. Analysis of nondestructive detection method of bolt anchoring quality[J]. Coal Safety，2014，5：212–215.(in Chinese))
[17] STARKEY A，IVANOVlC A，RODGER A A，etc. Condition monitoring of ground anchorage by dynamic impulse：GRANIT SYSTEM[J]. Meccauica，2003，38：265–282.
[18] I.VRKLJAN，A.SZAVITS NOSSAN，KOVACEVIC M S. Nondestructive method for testing grouting quality of rock bolt anchors[C]. In：International Congress on Rock Mechanics. Rotterdam：A.A.Balkema Publish，1999：1 475–1 478
[19] 王贤能，叶 蓉，周逢君. 土层抗浮锚杆试验破坏标准选取的建议[J]. 地质灾害与环境保护，2001，3：73–77.(WANG Xianneng，YE Rong，ZHOU Fengjun. Proposals for the selection of failure criteria in soil float-resisting anchor rod test[J]. Journal of Geological Hazards and Environment Preservation，2001，3：73–77.(in Chinese))
[20] CECS 22—1990，土层锚杆设计与施工规范[S].(CECS 22—1990，Code for Design and Construction of Soil Bolt[S].(in Chinese))
[21] 蒋曙光. 预应力土层锚杆在深基坑支护中的几个问题[J]. 发明与创新(综合版)，2006，5：33–34.(JIANG Shuguang. A few Issues of prestressing force Soil Anchor in Deep Foundation Pit[J]. Invention And Inovation(Comprehensive Edition)，2006，5：33–34.(in Chinese)) |
| [1] |
HUANG Man1, 2, WANG Yuhao1, 2, TAO Zhigang3, HONG Chenjie1, 2*, WENG Hanqian3, ZHANG Guangtao1, 2, ZHANG Haijiang1, 2. Size effect on anchorage resistance of Quasi-NPR bolt[J]. , 2026, 45(5): 1477-1488. |
|
|
|
|
2015, Vol. 34 
