岩石球砾与平板碰撞法向恢复系数

落石法向恢复系数是运动轨迹分析的关键参数。为研究碰撞速率和材料参数对落石法向恢复系数的影响,基于球板碰撞模型,在考虑材料弹塑性基础上建立岩石球砾法向恢复系数理论模型,并利用ABAQUS模拟球板碰撞过程,监测岩石球砾碰撞前后速率的变化。研究结果表明:数值模拟结果与理论计算结果吻合较好,最大差值在5%以内。随着碰撞速率的增大,岩石球砾法向恢复系数逐渐降低,且下降速率逐渐减小;球砾法向恢复系数随着弹性模量的增加而减小,随着弹性极限的增加而增大,且均呈线性关系;泊松比对球砾法向恢复系数影响较小。

The normal restitution coefficient of rock sphere upon colliding with the plate

The normal restitution coefficient of rockfall is the key parameter to determine the trajectory. The aim of the study is to reveal the influence of collision velocity and material parameters on the normal restitution coefficient of rockfall. The theoretical model of the rock sphere and the plate collision was established based on the elastic-plastic assumption. Furthermore, the collision between the rock sphere and the plate was simulated through the ABAQUS, and the velocity of the rock sphere was monitored in the collision process. The results show that numerical simulation and theoretical calculation are in good agreement, and the maximum difference is within 5%. The confining pressure causes the contact stress in the plastic zone to be greater than the elastic limit of the material. With the increase of collision velocity, the normal restitution coefficient of the rock sphere gradually decreases, and the decline rate gradually decreases. The normal restitution coefficient of the rock sphere decreases with the increase of elastic modulus and increases with the increase of elastic limit, which has a linear relationship. Poisson"s ratio has little effect on the normal restitution coefficient of the rock sphere.