中文摘要：

基于有限元开源软件OpenSees开发了二维黏弹性边界单元VS2D2Bar,采用数值算例验证了该二维黏弹性边界单元在程序实现上的正确性,并将其应用于重力坝地震响应分析。重力坝算例分析结果表明：与固定边界无质量地基模型相比,采用黏弹性边界单元分析得到的坝体动力响应峰值大幅度减小,在重力坝的地震响应分析中必须考虑无限地基辐射阻尼效应的影响;OpenSees适用于重力坝地震响应分析,编程开发和调试工作量较小,易于在复杂水工结构的静动力分析研究中推广应用。

英文摘要：

A two-dimensional （2D） viscoelastic boundary element, VS2D2Bar, was developed based on the open source finite element package OpenSees. The applicability of the 2D viscoelastic boundary element was verified with a numerical example, and it was applied to the seismic response analysis of a gravity dam. Numerical results demonstrate that the peak dynamic response of the dam body according to the viscoelastic boundary element model greatly decreases in contrast to that obtained from the massless foundation model with fixed boundary conditions. As a result, the radiation damping effect of the infinite foundation should be considered in seismic response analysis of gravity dams. The results also show that OpenSees is applicable to the seismic response analysis of gravity dams. With a high efficiency in programming and debugging, OpenSees can be easily extended to the static and dynamic analysis of complex hydraulic structures.