【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。更多还原

【Abstract】 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.更多还原