Earthquake Stress Analysis in Earth Dams
Earthquake Stress Analysis in Earth Dams
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发表时间：
1966-04
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通讯作者：
R. Clough;A. Chopra
中科院分区：
文献类型：
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作者：
R. Clough;A. Chopra
有限元方法已广泛应用于弹性连续体的静态分析，现已扩展到二维应力系统的动态分析。该方法涉及振动模态形状和频率的计算，利用有限元方法评估的刚度矩阵和通过有限元节点处的质量集中形成的质量矩阵。然后通过模态叠加方法计算动态响应，通过逐步积分获得每个模态的响应。通过将三角形土坝横截面视为弹性平面应变问题的地震分析来证明该方法。应用 1940 年 El Centro 地震的垂直和水平加速度分量；结果以图表的形式呈现，显示横截面中选定点处的应力的时间历史，以及选定时刻的应力等值线图。
The finite element method, which has been used extensively in the static analysis of elastic continua, is extended to the dynamic analysis of two-dimensional stress systems. The method involves calculation of vibration mode shapes and frequencies, making use of a stiffness matrix evaluated by the finite element method and a mass matrix formed by lumping the mass at the finite element nodal points. The dynamic response is then calculated by the mode-superposition method, the response of each mode being obtained by step-by-step integration. The method is demonstrated by the earthquake analysis of a triangular earth-dam cross section treated as an elastic plane-strain problem. Vertical and horizontal acceleration components of the 1940 El Centro earthquake are applied; results are presented in the form of plots showing the time history of stresses at selected points in the cross section and also plots of stress contours at selected instants of time.