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本文应用有限单元法分析了水库——坝体系统承受水平地面运动作用时的二维反应。分析中考虑了坝与水库间的相互作用及水的可压缩性,并将整个系统作为由水库和坝体两个子结构所组成的完整体系来考察。考虑到水库的范围很大,甲特別提出的与标准有限单元相连接的无限单元将水库理想化,而坝体则仅用有限单元来描述。在分析中计算了坝的结构阻尼和流体的辐射阻尼。得出的结论是:辐射阻尼的作用在高频率的干拢时是相当大的。该体系在达到或接近其基本自振频率时的耦合反应与无耦合反应相比显著增大。这个方法在计算上是很经济的,能够考虑体系的任意几何形状,因而在实际应用中是值得推荐的。本方法可以进一步应用和推广到三维分析。
In this paper, the finite element method is used to analyze the two-dimensional reaction of a reservoir-dam system subjected to horizontal ground motion. The analysis considers the interaction between the dam and the reservoir and the compressibility of the water, and considers the entire system as a complete system consisting of the two substructures of the reservoir and the dam. Considering the large range of reservoirs, the infinite unit connected with the standard finite element proposed by A has idealized the reservoir, while the dam is described only by finite elements. The structural damping of the dam and the radiation damping of the fluid were calculated in the analysis. It is concluded that the effect of radiation damping is quite large at high frequencies. The coupling reaction of the system at or near its basic natural frequency is significantly increased compared to the uncoupled reaction. This method is computationally very economical and can take into account any geometry of the system and is therefore recommendable in practical applications. This method can be further applied and extended to three-dimensional analysis.