中文摘要：

在经典力学的基础上，以某一概率为定量标准，根据斜坡上泥沙的受力状态，采用滚动模式进行理论推导，考虑了作用流速和颗粒位置的随机性、非均匀沙不同粒径之间的相互作用及不同倾角的影响，推导了斜坡上非均匀沙分组起动流速公式，通过实测资料验证表明，计算值与实测值符合较好．

英文摘要：

Based on the method of classical mechanics theory combined with a probability as quantitative criteria and according to the sediment stress states on different slopes, a rolling model was adopted to conduct a theoretic deduc- tion. The flow velocity and the random position of non-uniform sediment on the sloping bed, the interaction between different particle sizes and the influence of different angles were taken into account; then the formula for calculating the incipient velocity of non-cohesive and non-uniform sediment on sloping bed was established. The validity of the formula is verified by experimental data.