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基于碰撞模型的斜坡滚石颗粒速度预测

魏新容 段绍臻 孙金龙 王文达

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

doi: 10.6052/0459-1879-20-039
基金项目: 1)国家自然科学基金资助项目(11702124)
详细信息
    通讯作者:

    2)段绍臻,副教授,主要研究方向: 颗粒系统力学性能以及结构工程方面的研究. E-mail:dszbest@126.com

  • 中图分类号: P642.3

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.

     

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  • 收稿日期:  2020-02-15
  • 刊出日期:  2020-06-10

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