确定椭圆形隧洞端头锚固锚杆轴力的解析方法

doi:10.13722/j.cnki.jrme.2018.1473

Abstract
Figure/Table
References (0)
Related Citation (15)

Download: PDF (492 KB) HTML (1 KB)
Export: BibTeX | EndNote (RIS)

Abstract Rock bolts have been extensively used as an effective reinforcement means of tunnels and mining engineering projects. The existing analytical method is only available for the mechanical analysis of the point anchored rockbolt in a circular tunnel. Based on the analytical function of a concentrated force at an arbitrary point in the surrounding rock of a deep buried elliptical tunnel，explicit solutions of stress and displacement were deduced and explicit expressions of stress and displacement subjected to multiple concentrated forces were also obtained based on the superposition principle. Considering the displacement caused by tunnel excavation，the linear equations for solving the axial force of the point anchored rockbolt were established according to deformation coordination conditions，and the axial force distribution of each bolt with or without a pre-tightening force was obtained. The analytical solution obtained was verified by ANSYS software. Finally，the influences of the stiffness，anchor length and pre-tightening force on the axial forces were discussed.

Key words： tunnelling engineering elliptical tunnel concentrated force accurate closed-form solution point anchored rockbolt axial force

	Service

	E-mail this article
	Add to my bookshelf
	Add to citation manager
	E-mail Alert
	RSS
	Articles by authors
	LU Aizhong
	ZHU Erhao

Cite this article:

LU Aizhong,ZHU Erhao. An analytical method for determining the axial force of point anchored rockbolts in an elliptical tunnel[J]. , 2019, 38(6): 1117-1128.

URL:

https://rockmech.whrsm.ac.cn/EN/10.13722/j.cnki.jrme.2018.1473 OR https://rockmech.whrsm.ac.cn/EN/Y2019/V38/I6/1117

[1]	HOEK E，BROWN E T. Underground excavations in rock[M]. London：The Institution of Mining and Metallurgy，1982：1-19.
[2]	侯朝炯，郭励生，勾攀峰. 煤巷锚杆支护[M]. 徐州：中国矿业大学出版社，1999：7-10.(HOU Chaojiong，GUO Lisheng，GOU Panfeng. Rock bolting for coal roadway[M]. Xuzhou：China University of Mining and Technology Press，1999：7-10.(in Chinese))
[3]	邹志晖，汪志林. 锚杆在不同岩体中的工作机理[J]. 岩土工程学报，1993，15(6)：71-79.(ZOU Zhihui，WANG Zhilin. Mechanism of anchor bar in different elastic modulus rocks by model test[J]. Chinese Journal of Geotechnical Engineering，1993，15(6)：71-79.(in Chinese))
[4]	张晓君，林芊君，刘国磊. 硬岩层爆及锚杆锚固机制试验研究[J]. 岩石力学与工程学报，2017，36(10)：2 365-2 372.(ZHANG Xiaojun，LIN Qianjun，LIU Guolei. Experimental study on mechanism of stratified burst bolt and anchoring in hard rocks[J]. Chinese Journal of Rock Mechanics and Engineering，2017，36(10)：2 365-2 372.(in Chinese))
[5]	BOBET A. A simple method for analysis of point anchored rockbolts in circular tunnels in elastic ground[J]. Rock Mechanics and Rock Engineering，2006，39(4)：315-338.
[6]	吕爱钟，刘宜杰，张晓莉. 圆形隧洞全长黏结锚杆力学分析的解析方法[J]. 岩石力学与工程学报，2018，37(7)：1 561-1 573.(LU Aizhong，LIU Yijie，ZHANG Xiaoli. A theoretical solution for a circular tunnel reinforced by fully grouted rock bolts[J]. Chinese Journal of Rock Mechanics and Engineering，2018，37(7)：1 561-1 573. (in Chinese))
[7]	陈子荫. 围岩力学分析中的解析方法[M]. 北京：煤炭工业出版社，1994：49-55.(CHEN Ziyin. Analytic method around rock road way[M]. Beijing：Coal Industry Publishing House，1994：49-55.(in Chinese))
[8]	祝江鸿. 隧洞围岩应力复变函数分析法中的解析函数求解[J]. 应用数学和力学，2013，34(4)：345-354.(ZHU Jianghong. Analytic functions in stress analysis of the surrounding rock for caverns with the complex variable theory[J]. Applied Mathematics and Mechanics，2013，34(4)：345-354.(in Chinese))
[9]	TIMOSHENKO S P，GOODIERWRITED J N. Theory of elasticity. 3rd edn[M]. New York：McGraw-Hill Book Company，1970：359-362.
[10]	GAO X L. A general solution of an infinite elastic plate with an elliptic hole under biaxial loading[J]. International Journal of Pressure Vessels and Piping，1996，67(1)：95-104.
[11]	MUSKHELISHVILI N I. Some basic problems of the mathematical theory of elasticity[M]. Groningen：P. Noordhoff Ltd.，1963：257-259.
[12]	CHAO C K，CHEN F M. Revisit of an elliptic hole problem by using complex variable method[J]. Journal of the Chinese Institute of Engineers，2016，39(1)：121-130.
[13]	LU A Z，ZHANG N，ZENG G S. Minimizing stress concentrations around an elliptical hole by concentrated forces acting on the uniaxially loaded plate[J]. Acta Mechanica Solida Sinica，2017，30(3)： 318-326.
[14]	SIH G C. Stress distribution around an ovaloid hole under arbitrary concentrated force[J]. Applied Scientific Research，1964，12(4-5)：378-390.
[15]	陈宜周. 椭圆孔口外受集中力和力偶时的新解法[J]. 上海力学，1994，(4)：64-67.(CHEN Yizhou. A new approach for solving problem of an infinite plate weakened by an elliptical hole and applied by concentrated forces and a couple[J]. Shanghai journal of mechanics，1994，(4)：64-67.(in Chinese))
[16]	何青. 材料力学[M]. 北京：机械工业出版社，2013：61-62.(HE Qing. Mechanics of materials[M]. Beijing：China Mechanic Press，2013：61-62.(in Chinese))
[17]	LU A Z，ZHANG L Q，ZHANG N. Analytic stress solutions for a circular pressure tunnel at pressure and great depth including support delay[J]. International Journal of Rock Mechanics and Mining Sciences，2011，48(3)：514-519.
[18]	杨志法，王思敬，冯紫良，等. 岩土工程反分析原理及应用[M]. 北京：地震出版社，2002：99-101.(YANG Zhifa，WANG Sijing，FENG Ziliang，et al. Principle and application of back analysis for geotechnical engineering[M]. Beijing：Seismological Press，2002：99-101.(in Chinese))
[19]	《椭圆积分表》编写小组. 椭圆积分表[M]. 北京：机械工业出版社：1979：236-238.(《An elliptic integral handbook》Writing Group. An elliptic integral handbook[M]. Beijing：China Mechanic Press，1979：236-238.(in Chinese))
[20]	于学馥，郑颖人，刘怀恒. 地下工程围岩稳定分析[M]. 北京：煤炭工业出版社，1980：414-420.(YU Xuefu，ZHENG Yingren，LIU Huaheng. Stability analysis of surrounding rock in underground engineering[M]. Beijing：Coal Industry Publishing House，1994：414-420.(in Chinese))