中文摘要：

考虑落石形状对落石运动轨迹的影响，将落石近似成椭圆形。根据落石运动的5种常见形式，即自由落体运动、斜抛运动、碰撞、滑动和滚动，分别得到了各种运动形式的运动速度计算公式。在碰撞阶段考虑了地面的弹塑性变形，得到了与碰撞前速度、落石形状和地面材料有关的恢复系数计算公式，并根据接触力学的有关理论得到了碰撞冲击力的计算公式，给出了落石连续滚动的判别条件。将理论公式应用于重庆万州首立山落石运动轨迹预测，验证了理论公式的可行性和有效性。

英文摘要：

In order to take the effects of the profile on the trajectory ofrockfall into account, the boulder is approximately supposed to be elliptic. According to the five common forms of rockfall, containing rolling, slide, collision, freely falling body movement and parabolic motion, the formulae to calculate the velocity of different kinds of motion are proposed respectively. When the boulder collide with earth, the elastoplastic deformations of earth are considered. Coefficient of restitution, which relates to the velocity before collision, the shape of boulder and geomaterial of earth, is presented. Moreover the impulse force due to collision are obtained on the basis of contact mechanics. Besides, the criterion of continuous rolling is put forward. Finally, an illustrative example is given to show the capability of the presented model to predict the rockfall trajectory of Shoulishan in Wanzhou of Chongqing.