均质岩石边坡自振周期及其估算方法研究
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摘要
共振效应是导致岩质边坡破坏的主要原因之一。以均质岩石边坡为研究对象,采用大型有限元软件AD INA,探讨了建模对边坡自振周期的影响,研究了坡高、坡角、弹性模量及泊松比对边坡自振周期的影响,建立了边坡自振周期的估算公式。研究结果表明:采用有限元方法计算得到的边坡自振周期,与选取的计算范围和单元尺寸密切相关,并存在特征单元尺寸,即当单元最大边长小于等于特征单元尺寸时,计算得到的边坡自振周期趋于稳定,可视为准确值;边坡自振周期与坡高、坡角及泊松比成正相关关系,与弹性模量呈负相关关系;坡高和弹性模量对边坡自振周期的影响最为显著;所建立的估算公式具有较高的可靠性,可直接用于计算均质岩石边坡的自振周期。
Resonance effect is one of the most important causes inducing failure of rock slope.Based on finite element software-ADINA,the both influences of the modeling of homogeneous rock slope and the factors of slope height,slope angle,elastic modulus and Poisson's ratio on natural period of the rock slope are studied,and estimation formula of natural period of the rock slope is proposed.The results show that:(1) the natural period of the rock slope calculated by FEM is relative to selected range of computation and mesh element size,and there exists a characteristic element size,when the size of element reduces to it,the natural period tends to be stable,which is taken as exact value;(2)there are positive varied relations between the slope height,slope angle,Poisson's ratio and the natural period of the rock slope,while there is inverse varied relation between the elastic modulus and the natural period of the rock slope;(3) the most important factors affecting the natural period of the rock slope are the slope height and the elastic modulus;(4) the proposed estimation formula has high precision and can directly be used to calculate natural period of homogeneous rock slopes.
Resonance effect is one of the most important causes inducing failure of rock slope.Based on finite element software-ADINA,the both influences of the modeling of homogeneous rock slope and the factors of slope height,slope angle,elastic modulus and Poisson's ratio on natural period of the rock slope are studied,and estimation formula of natural period of the rock slope is proposed.The results show that:(1) the natural period of the rock slope calculated by FEM is relative to selected range of computation and mesh element size,and there exists a characteristic element size,when the size of element reduces to it,the natural period tends to be stable,which is taken as exact value;(2)there are positive varied relations between the slope height,slope angle,Poisson's ratio and the natural period of the rock slope,while there is inverse varied relation between the elastic modulus and the natural period of the rock slope;(3) the most important factors affecting the natural period of the rock slope are the slope height and the elastic modulus;(4) the proposed estimation formula has high precision and can directly be used to calculate natural period of homogeneous rock slopes.
引文
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[3]陈祖煜,汪小刚,杨健,等.岩质边坡稳定分析-原理.方法.程序[M].北京:中国水利水电出版社,2005.
[4]丰定国,王社良.抗震结构设计[M].武汉:武汉工业大学出版社,2001.
[5]GB50011-2001,建筑抗震设计规范[S].
[6]Building Seismic Safety Council(BSSC).1997 Edition NEHRP recommended provisions for seismic regulations for newbuildings and other structures[R].FEMA302/303,Part1(Provisions)and Part2(Commentary),Developed for the Federal Emergency Management Agency,Washington,DC,1998.
[7]王雪亮,瞿伟廉,刘晖.广州新电视塔的动力特性有限元分析[J].武汉理工大学学报,2007,29(1):142-144.
[8]吕西林,施卫星,沈剑芙,等.上海地区几幢超高层建筑振动特性实测[J].建筑科学,2001,17(2):36-39.
[9]陈玲玲,陈敏中,钱胜国.岩质陡高边坡地震动力稳定分析[J].长江科学院院报,2004,21(1):33-35.
[10]秋仁东,石玉成,付长华.高边坡在水平动荷载作用下的动力响应规律研究[J].世界地震工程,2007,23(2):131-138.
[11]岳戈,陈权.ADINA应用基础与实例详解[M].北京:人民交通出版社,2008.
[12]刘佑荣,唐辉明.岩体力学[M].武汉:中国地质大学出版社,1999.
[13]陈琰.岩质边坡有限元稳定性分析[D].南京:河海大学,2006.
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