简谐振动荷载下锚杆加固岩质边坡的受力分析
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摘要
基于块体动力学方法,考虑简谐振动地震波作用,根据Pseudo-static分析原理建立动力荷载下的锚杆支护边坡简化模型,采用解析方法对求得谐振作用下沿滑移面滑移的边坡破坏运动解以及锚杆内力解的表达式,在此基础上,提出可适用于抗震设计的锚杆受力解答。通过锚杆支护边坡的参数影响分析表明,地震波的频率对破坏体的滑动位移幅值有较大影响,在锚杆加固边坡设计中应避免免引起共振现象;锚杆间距对位移振动幅值影响也较大,随着间距的增大,位移幅值也增大;当锚杆间距一定时,随着坡高的增大,边坡滑动位移幅值增大幅度相较其他参数影响较小;随着边坡岩石边坡角度的增大,位移幅值也随之增大,下边坡角度从60°增大到90°时,位移幅值由7 cm增大到25 cm;上边坡坡度超过25°时,位移幅度急剧增大,在设计和施工中应当引起重视。
Based on the block dynamics theory,consider simple harmonic vibration of seismic waves.a simplified model of slope bolting support under dynamic loading was established,according to the analysis principles of Pseudo-static.Then,the solutions of slope failure along the slip plane under resonance effect and the expression of internal forces were obtained by using of analytical methods.Based on these,the mechanical solution of bolt is proposed for seismic design.The parameters analysis of the slope bolting support showed that the frequency of seismic waves has a greater impact on sliding displacement amplitudes of damage body.Thus,the resonance phenomenon should be avoided in slope design.Moreover,the bolt spacing has also a greater impact on vibration amplitude of the displacement.As the spacing increases,the displacement amplitude also increases.When bolt spacing is constant,the slope slip displacement increased amplitude is significantly less than other influence parameters with the slope height increasing.With the rock slope angle increases,the displacement amplitude also increased and the bottom slope angle increases from 60° to 90°,the displacement amplitude increases from 7 cm to 25 cm.While the upper slope angle exceeds 25°,the displacement amplitude increases so rapidly that it should be paid enough attention in the design and construction.
Based on the block dynamics theory,consider simple harmonic vibration of seismic waves.a simplified model of slope bolting support under dynamic loading was established,according to the analysis principles of Pseudo-static.Then,the solutions of slope failure along the slip plane under resonance effect and the expression of internal forces were obtained by using of analytical methods.Based on these,the mechanical solution of bolt is proposed for seismic design.The parameters analysis of the slope bolting support showed that the frequency of seismic waves has a greater impact on sliding displacement amplitudes of damage body.Thus,the resonance phenomenon should be avoided in slope design.Moreover,the bolt spacing has also a greater impact on vibration amplitude of the displacement.As the spacing increases,the displacement amplitude also increases.When bolt spacing is constant,the slope slip displacement increased amplitude is significantly less than other influence parameters with the slope height increasing.With the rock slope angle increases,the displacement amplitude also increased and the bottom slope angle increases from 60° to 90°,the displacement amplitude increases from 7 cm to 25 cm.While the upper slope angle exceeds 25°,the displacement amplitude increases so rapidly that it should be paid enough attention in the design and construction.
引文
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[2]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.HUANG Run-qiu.Mechanism and geomechanical modesof landslide hazards triggered by Wenchuan 8.0earthquake[J].Chinese Journal of Rock Mechanics andEngineering,2009,28(6):1239-1249.
[3]PARISE M,JIBSON R W.A seismic landslidesusceptibility rating of geologic units based on analysis ofcharacteristics of landslides triggered by the 17 January,1994 Northridge,California earthquake[J].EngineeringGeology,2000,58(3/4):251-270.
[4]李宁,程国栋,谢定义.西部大开发中的岩土力学问题[J].岩土工程学报,2001,23(3):268-272.LI Ning,CHENG Guo-dong,XIE Ding-yi.Geomechanics development in civil construction inWestern China[J].Chinese Jounal of GeotechnicalEngineering,2001,23(3):268-272.
[5]黄理兴,陈奕柏.我国岩石动力学研究状况与发展[J].岩石力学与工程学报,2003,22(11):1881-1886.HUANG Li-xing,CHEN Yi-bai.Rock dynamics in china:past,present and future[J].Chinese Journal of RockMechanics and Engineering,2003,22(11):1881-1886.
[6]李海波,蒋会军,赵坚,等.动荷载作用下岩体工程安全的几个问题[J].岩石力学与工程学报,2003,22(11):1887-1891.LI Hai-bo,JIANG Hui-jun,ZHAO Jian,et al.Someproblems about safety analysis of rock engineering underdynamic load[J].Chinese Journal of Rock Mechanicsand Engineering,2003,22(11):1887-1891.
[7]王泰恒,徐文年,陈池.预应力锚固技术基本理论与实践[M].北京:中国水利水电出版社,2007.
[8]王浩,陈峰,柳墩利,等.动荷载作用下边坡锚固系统合理设计探讨[J].防灾减灾工程学报,2009,29(6):690-695.WANG Hao,CHEN Feng,LIU Dun-li,et al.Discuss onreasonable design of slope anchor system under dynamicloads[J].Journal of Disaster Prevention and MitigationEngineering,2009,29(6):690-695.
[9]陆遐龄.岩石高边坡爆破开挖对锚固设施的影响[J].爆破,2000,17(增刊1):147-151.LU Xian-ling.Influence of rock high slope explosiveexcavation on anchor ed installations[J].Blasting,2000,17(Supp.1):147-151.
[10]MOSAWE M A.The effect of repeated and alternatingloads on the behavior of dead and prestressed anchors insand[D].England:University of Sheffield,1979.
[11]BATHURST R J,HATAMI K,ALFARO M C.Geosynthetic-reinforced soil walls and slopes:Seismicaspects[M].London:Thomas Telford Ltd.,2002:327-392.
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