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本文提出了考虑库水和柔性基岩动力影响时,混凝土重力坝对地震地面运动的横向(水平)和垂直分量的反应分析的一个一般的方法。考虑一个坝段横向振动时,问题就变为一个二维问题,分析这系统时,假设混凝土、基础岩石和水是线性的。整个系统由三个子结构组成—坝(表示为有限元系统),水域(在上游方向为无限长的连续体),岩基区(作为一个粘弹性半平面)。坝的结构位移用有关的无阻尼的坝—岩石系统的正则振型作为 Ritz 矢量的线性组合来表示。这个分析方法的效能在于,只考虑几个 Ritz矢量就能获得很好的结果。用快速福里哀变换方法,归纳它们的复频反应,以计算由地震运动而引起的广义位移,再由位移计算应力反应。本文介绍了一个算例,以具体说明由这个分析方法得到的结果。
This paper presents a general method for analyzing the response of a concrete gravity dam to the horizontal (horizontal) and vertical components of seismic ground motion when considering the dynamic effects of reservoir water and flexible bedrock. When considering the lateral vibration of a dam, the problem becomes a two-dimensional problem. When analyzing this system, it is assumed that the concrete, the base rock and the water are linear. The entire system consists of three substructures - a dam (denoted as a finite element system), a watershed (an infinite continuum in the upstream direction) and a rock base (as a viscoelastic half-plane). The structural displacement of the dam is represented by the regular pattern of the undamped dam-rock system as a linear combination of Ritz vectors. The power of this method of analysis is that good results can be obtained by considering only a few Ritz vectors. Fast Fourier transform method is used to summarize their complex frequency response to calculate the generalized displacement caused by the earthquake motion and calculate the stress response from the displacement. This article presents a study to illustrate the results of this analysis.