中文摘要：

边坡的动力稳定性分析一直是岩土工程领域的难点。为研究矢量和法在三维边坡动力稳定性分析中的应用,从三维均质边坡出发,给出了一种将矢量和法与动力有限元法相结合的三维边坡动力稳定性分析方法,并给出其具体计算过程。最后,将该方法运用到大型堆积体边坡的动力稳定性分析中。该边坡的动力分析表明,三维边坡动力响应规律受地形的影响很大,堆积体对地震波具有较好的吸收效果;在6.5级地震（峰值加速度0.2 g）作用下,稳定性计算表明,堆积体Q1与Q2的平均安全系数分别为1.47,1.23,最小安全系数分别为1.33,1.18,可认为边坡在该地震荷载下能够保持稳定。

英文摘要：

Dynamic stability analysis of slopes is a difficult problem in the field of geotechnical engineering. In order to apply the vector sum method（VSM） in dynamic stability analysis of a three-dimensional slope, a method which combines VSM with dynamic finite element method was developed, and an example of a three-dimensional uniform slope was analysed. The method was used to analyse the dynamic stability of two typical talus deposits. The dynamic analysis of the slope shows that the terrain has great effects on the dynamic response of the three-dimensional slope and that the absorption effect of talus deposit on the seismic wave is pretty obvious. Under the action of earthquake scale 6.5 （the peak acceleration is 0.2 g）, the average safety factors of talus deposit Q1 and Q2 are 1.47 and 1.23 respectively, while the minimum values are 1.33 and 1.18 respectively. The slope was thus considered stable under this seismic load.