The paper concerns the dynamic behavior of a simple slope model subjected to simultaneous horizontal and vertical excitations. The proposed method is based on Newmark's sliding block concept, however, four new features are introduced. The most important assumption is that the normal component of dynamic excitations affects the resisting force both before and after the initiation of the relative slope motion, making it time-dependent. The proposed formula and solution method is validated by experiments conducted on the shaking table and the bidirectional oscillatory device. The block displacement and acceleration time-histories are measured and analyzed. Experiments results conducted for bidirectional cyclic motion showed that the influence of vertical acceleration on the stability of the slope can be both negligible and significant (up to 57%). The numerical tests results, performed for thirty-five European seismic records, showed the underestimation of permanent displacement can reach up to 19% if the vertical excitation is neglected.

本文涉及同时受水平和垂直激励作用的简单斜率模型的动力学行为。该方法基于Newmark的滑块概念，但是引入了四个新功能。最重要的假设是，动态激励的法向分量会在相对坡度运动开始之前和之后都影响阻力，使其随时间变化。通过在振动台和双向振荡装置上进行的实验验证了所提出的公式和求解方法。测量并分析了块的位移和加速时间历史。双向循环运动的实验结果表明，垂直加速度对边坡稳定性的影响可以忽略不计，而且可以忽略不计（高达57％）。