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魏新容, 段绍臻, 孙金龙, 王文达. 基于碰撞模型的斜坡滚石颗粒速度预测[J]. 力学学报, 2020, 52(3): 707-715. DOI: 10.6052/0459-1879-20-039
引用本文: 魏新容, 段绍臻, 孙金龙, 王文达. 基于碰撞模型的斜坡滚石颗粒速度预测[J]. 力学学报, 2020, 52(3): 707-715. DOI: 10.6052/0459-1879-20-039
Wei Xinrong, Duan Shaozhen, Sun Jinlong, Wang Wenda. VELOCITY PREDICTION OF SLOPE ROLLING STONE PARTICLE BASED ON COLLISION MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 707-715. DOI: 10.6052/0459-1879-20-039
Citation: Wei Xinrong, Duan Shaozhen, Sun Jinlong, Wang Wenda. VELOCITY PREDICTION OF SLOPE ROLLING STONE PARTICLE BASED ON COLLISION MODEL[J]. Chinese Journal of Theoretical and Applied Mechanics, 2020, 52(3): 707-715. DOI: 10.6052/0459-1879-20-039

基于碰撞模型的斜坡滚石颗粒速度预测

VELOCITY PREDICTION OF SLOPE ROLLING STONE PARTICLE BASED ON COLLISION MODEL

  • 摘要: 滑坡滚石灾害是西部山区常见的地质灾害类型,具有突发性和随机性强的特点,是山区地质灾害预测和防治工作的重点和难点. 本文基于颗粒接触理论,考虑影响斜坡滚石碰撞过程中的随机因素,建立了用于预测斜坡滚石颗粒碰撞后速度的理论模型. 根据冲量及冲量矩定理建立滚石颗粒碰撞基本方程,得到斜坡滚石颗粒碰撞后反弹速度的解析解. 结果表明:斜坡滚石碰撞后反弹速度的解析解包含了坡角、坡体上被碰颗粒速度以及角度、入射速度和角度以及撞击角度等随机因素;当考虑入射滚石颗粒与坡体上被碰颗粒的撞击角度变化时,模型预测结果与试验结果吻合较好;本文进一步预测了滚石颗粒碰撞后颗粒反弹线速度和角度以及反弹旋转角速度的概率分布情况. 结果显示,反弹颗粒速度和角度以及反弹旋转角速度的概率分布均服从高斯分布;当坡体上被碰颗粒速度和坡角发生变化时,其对反弹颗粒速度和角度以及反弹旋转角速度概率分布定性上没有影响,但是对概率分布的中心参数有显著影响.

     

    Abstract: The landslide rolling stone disaster is a prevailing natural hazard in the western mountainous regions of China. The rolling stone disasters featured by burstiness and uncertainty are hard to forecast and prevent the geological disaster. Based on the particle contact theory and considering the random factors in the process of the particle collision, a theoretical model for predicting the velocity of the rolling stone particles after impacting the slope is established. According to the theorem of impulse and momentum moment, the basic equations of rolling stone particles collision are established, and the analytical solutions of the rebound velocity after the rolling stone particles impacting the slope are obtained. The results show that the analytical solutions of the rebound velocity after impacting include the random factors such as slope angle, the velocity and angle of particles on the slope, incident velocity, angle and impact angle. It is found that the model results agree well with the experimental results when the impact angle of incident rolling stone particle impacts the particle on the slope is changed. At the same time, this paper predicts the probability distribution of the rebound velocity, rebound angle and rebound rotational angular velocity after the collision. The results show that the probability distributions of rebound velocity, rebound angle and rebound rotation angular velocity follow Gaussian distribution. When the velocity of particles on the slope and the slope angle change, they have no qualitative influence on the rebound particle velocity, rebound angle and the rebound rotation angular velocity probability distribution, but they have significant influence on the center parameters of probability distribution.

     

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