基于Hertz理论的泥石流块石冲击力修正系数研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (16) : 26-31.

论文

陈剑1,2.3，王全才1,2，王浩4，陈颖骐1,2,3，李俊1,2,3

作者信息 +

Study on modified coefficient for impact force of boulders conveyed in debris flow based on Hertz theory

CHEN Jian1,2,3, WANG Quan-cai1,2, WANG Hao4, CHEN Ying-qi1,2,3, LI Jun1,2,3

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文章历史 +

摘要

基于Hertz弹性碰撞理论的修正公式是计算泥石流块石冲击力的有效方法之一，但公式中的修正系数目前尚无具体的量化方法。在Hertz接触理论和Thornton弹塑性假设的基础上，建立了泥石流块石冲击构筑物的计算模型，推导了修正系数的表达式。研究表明，修正系数是材料强度、泥石流块石尺寸和速度的函数而非一个常量，其随泥石流块石冲击速度的增加而减小，随泥石流块石半径、构筑物材料强度的增加而增加。板子沟泥石流沟防治工程计算结果显示，修正冲击力仅为Hertz弹性碰撞冲击力的15.58%。当泥石流块石冲击速度小于3m/s，修正系数大于0.20；当泥石流块石冲击速度大于3m/s，修正系数介于0.10～0.20之间，计算结果与实践估计较为一致。

Abstract

Modified formula based on Hertz elastic collision theory is one of the effective methods to calculate Impact Force Exerted by Boulders Transported (IFEBT) in debris flow. However, there is no informative method to quantify modified coefficient currently. Calculation model of IFEBT was built and analytical equation of modified coefficient was deduced on the basis of Hertz contact theory and Thornton elastoplasticity hypothesis. The study showed that modified coefficient is a function material strength, boulder size and velocity rather than constant. The IFEBT decreases with growth of boulder velocity and increases with increment of structure materials strength and boulder size. The modified method was applied to control engineering for Ban Zigou debris flow. Calculation results showed that the modified IFEBT in debris flow is only 15.58% of one’s by Hertz elastic theory. Modified coefficient is larger than 0.2 when boulder velocity is less than 3m/s and ranges between 0.1 and 0.2 when boulder velocity is larger than 3m/s. This new method matches the practice better.

导出引用

陈剑1,2.3，王全才1,2，王浩4，陈颖骐1,2,3，李俊1,2,3. 基于Hertz理论的泥石流块石冲击力修正系数研究[J]. 振动与冲击, 2017, 36(16): 26-31

CHEN Jian1,2,3, WANG Quan-cai1,2, WANG Hao4, CHEN Ying-qi1,2,3, LI Jun1,2,3. Study on modified coefficient for impact force of boulders conveyed in debris flow based on Hertz theory[J]. Journal of Vibration and Shock, 2017, 36(16): 26-31

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