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均质岩石边坡自振周期及其估算方法研究 被引量:5

Study on natural period of homogeneous rock slope and its estimation method
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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.
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
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