基于耦合效应和Kelvin解析解压力型锚索的受力分析
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摘要
为了更加精确地对压力型锚索锚固机理进行理论分析,考虑锚索孔周边岩体的蠕变与钢绞线预应力二者之间的相互影响关系,建立了岩体蠕变与钢绞线预应力变化之间的耦合效应模型;在此基础上基于Kelvin问题的解析解,推导了砂浆体在圆形均布荷载作用下压力型锚索锚固段砂浆体受到的压应力和剪应力的理论解;并进行了案例分析,研究成果可为压力型锚索加固矿山边坡设计提供一定的理论基础。
In order to make a more accurate theoretical analysis of the anchoring mechanism of the pressure-type anchor cable,the coupling effect model between the creep of rock mass around the anchor cable hole and the prestress of the steel strand was established by considering the interaction between the creep of rock mass and the prestress of the steel strand.Based on the analytical solution of Kelvin problem,the theoretical solution of the compressive stress and shear stress of the mortar body in the anchorage section of the pressure anchor cable under the action of circular uniform load was derived and the case analysis was made.The results of the study could provide a theoretical basis for the design of mine slope reinforced by pressure anchor cable.
In order to make a more accurate theoretical analysis of the anchoring mechanism of the pressure-type anchor cable,the coupling effect model between the creep of rock mass around the anchor cable hole and the prestress of the steel strand was established by considering the interaction between the creep of rock mass and the prestress of the steel strand.Based on the analytical solution of Kelvin problem,the theoretical solution of the compressive stress and shear stress of the mortar body in the anchorage section of the pressure anchor cable under the action of circular uniform load was derived and the case analysis was made.The results of the study could provide a theoretical basis for the design of mine slope reinforced by pressure anchor cable.
引文
[1]卢黎,黎亮,邓宇,等.压力型锚索承载板前砂浆体破坏机制试验研究[J].岩土工程学报,2013,35(11):2 110-2 116.
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[11]王国富,李强,路林海,等.考虑锚索松弛特性的预应力损失计算模型研究[J].地下空间与工程学报,2017,13(6):1 585-1 591.
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[14]WANG Yanfen,WANG Yuanhan,XIE Hongyang.Computing of the anchor by the method of three-dimension point-radiate infinite elements[J].Journal of China University of Geosciences,2007,18(2):185-190.
[15]王艳芬,谢洪阳,王元汉.预应力锚索锚固段的三维无限元计算[J].华中科技大学学报(自然科学版),2007(9):28-30.
[16]王艳芬.预应力锚索加固岩体的机理分析和数值计算[D].武汉:华中科技大学,2007.
[2]夏元友,叶红,刘笑合,等.风化岩体中压力型锚索锚固段的剪应力分析[J].岩土力学,2010,31(12):3 861-3 866.
[3]严敏嘉,夏元友,刘婷婷.地震作用下预应力锚索加固顺层岩坡极限分析[J].岩土力学,2018,39(7):2 691-2 698.
[4]曹伟.压力分散型预应力锚索在边坡工程中的运用[J].江西建材,2018(4):143-144.
[5]刘永权,刘新荣,谢应坤,等.基坑预应力锚索初始张拉锁定值取值规律探讨[J].岩土力学,2018,39(6):2 164-2 174.
[6]王清标,张聪,王辉,等.预应力锚索锚固力损失与岩土体蠕变耦合效应研究[J].岩土力学,2014,35(8):2 150-2 156.
[7]叶红.基于Mindlin基本解下压力型锚索锚固长度的设计方法[J].化工矿物与加工,2017,46(8):45-48.
[8]叶红.风化砂岩中压力型锚索锚固段应力数值模拟分析[J].化工矿物与加工,2018,47(7):42-46.
[9]叶红.锚索孔周边岩体弹性模量的数值模拟分析[J].武汉交通职业学院学报,2012,14(2):72-74.
[10]叶红,陈燕平.地震作用下压力型锚索孔周边岩体应力数值模拟分析[J].金属矿山,2015,44(8):34-39.
[11]王国富,李强,路林海,等.考虑锚索松弛特性的预应力损失计算模型研究[J].地下空间与工程学报,2017,13(6):1 585-1 591.
[12]王洪,李强.厚冲积黏性土层锚索预应力损失计算模型研究[J].公路,2016,61(12):82-85.
[13]王国富,曹正龙,王渭明,等.锚索预应力损失多元件耦合模型研究[J].数学的实践与认识,2016,46(6):106-113.
[14]WANG Yanfen,WANG Yuanhan,XIE Hongyang.Computing of the anchor by the method of three-dimension point-radiate infinite elements[J].Journal of China University of Geosciences,2007,18(2):185-190.
[15]王艳芬,谢洪阳,王元汉.预应力锚索锚固段的三维无限元计算[J].华中科技大学学报(自然科学版),2007(9):28-30.
[16]王艳芬.预应力锚索加固岩体的机理分析和数值计算[D].武汉:华中科技大学,2007.