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.
出处
《世界地震工程》
CSCD
北大核心
2009年第1期64-69,共6页
World Earthquake Engineering
基金
中国地震局工程力学研究所基本业务费项目(2006B10)
国家自然科学基金项目(40702055)
中国博士后基金项目(20080430884)
关键词
岩质边坡
自振周期
影响因素
估算方法
rock slope
natural period
influencing factor
estimation method