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三维实体边坡地震动力响应规律

         

摘要

In order to investigate the distribution rules of acceleration, speed and displacement ( short for three parameters) responses of a slope subjected to an earthquake, a 3D model for an ideal slope was established based on the Lagrangian finite difference method. Effects of slope form on the distributions of the three parameters were analyzed by introducing the concepts of amplification coefficients of the three parameters and drawing corresponding contour graphs, and were verified by the 3D model for an actual slope. The research results indicate that to a slope with a medium and certain height, its three parameters increase with the increase of slope height, and their amplification coefficients increase also. The distributions of the three parameters are related to the slope form, the amplification coefficients of the three parameters are maximum at concave and convex parts of the slope. And the more intense the degrees of the concave and convex parts are, the more obvious the amplification effect is. Furthermore, the amplification effect of a convex slope is stronger than that of a concave slope as a whole.%为探讨边坡在地震作用下的加速度、速度和位移(简称三量)分布规律,基于拉格朗日差分法,建立了理想边坡的三维模型;通过引入三量放大系数的概念,绘制边坡三量等值线图,分析了坡面形态对边坡三量分布规律的影响,并通过实体边坡模型进行了验证.研究结果表明:在地震作用下,一定坡高的单一介质边坡,边坡内三量随坡高增大而增大,三量放大系数随之增大;三量的分布与坡面形态有关,在坡面凹凸部位三量放大系数最大,且凹凸程度越强烈,放大效应越明显;凸面坡的放大效应整体强于凹面坡.

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