| 引用本文: | 陈剑,王全才,陈颖骐,李俊.基于Hertz理论的泥石流大块石冲击力修正计算[J].哈尔滨工业大学学报,2017,49(2):124.DOI:10.11918/j.issn.0367-6234.2017.02.020 |
| CHEN Jian,WANG Quancai,CHEN Yingqi,LI Jun.Amending calculation on impact force of boulders in debris flow based on Hertz theory[J].Journal of Harbin Institute of Technology,2017,49(2):124.DOI:10.11918/j.issn.0367-6234.2017.02.020 |
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| 基于Hertz理论的泥石流大块石冲击力修正计算 |
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陈剑1,2,3,王全才1,2,陈颖骐1,2,3,李俊1,2,3
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(1.山地灾害与地表过程重点实验室(中国科学院),成都610041; 2.中国科学院水利部 成都山地灾害与环境研究所,成都610041;3.中国科学院大学,北京100049)
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| 摘要: |
| 为合理确定泥石流块石对构筑物的冲击力，以Hertz接触理论和结构力学为基础，建立泥石流大块石对桥梁的冲击模型，量化冲击系统中对象的材料特性、相对尺寸大小及结构变位对冲击力的影响，导出泥石流大块石冲击力修正计算公式.结果表明：材料修正系数在0.20~0.45之间，其值与材料屈服强度Y成正比，与冲击系统的等效模量E呈反相关关系；球径比修正系数随构筑物尺寸的增大先迅速增大而后平稳增长；结构变位修正系数受墩顶约束及冲击位置双重影响.将提出的计算方法应用于登基沟泥石流大块石对桥墩的冲击力计算，结果仅为Hertz弹性碰撞理论的6.7%，冲击力-冲击速度关系曲线平缓，与工程实践估值结果基本一致.
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| 关键词: 泥石流 大块石冲击力 Hertz接触力学 结构变位 修正因子 |
| DOI：10.11918/j.issn.0367-6234.2017.02.020 |
| 分类号:TU45 |
| 文献标识码:A |
| 基金项目:国家自然科学基金重点项目(41030742) |
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| Amending calculation on impact force of boulders in debris flow based on Hertz theory |
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CHEN Jian1,2,3, WANG Quancai1,2, CHEN Yingqi1,2,3, LI Jun1,2,3
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(1.Key Laboratory of Mountain Hazards and Surface Process (Chinese Academy of Sciences), Chengdu 610041, China; 2.Institute of Mountain Hazards and Environment, Chinese Academy of Sciences & Ministry of Water Resources, Chengdu 610041, China; 3.University of Chinese Academy of Sciences, Beijing 100049, China)
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| Abstract: |
| Impact model between boulder and pier was built based on the Hertz contact theory and structural mechanics. Three main influence factors of impact force, including the material properties, relative size, and structure displacement were quantized and the modified formula was presented to calculate impact force. It shows that, material correction coefficient ranges from 0.20 to 0.45, which is proportional to material yield strength Y while correlated reciprocally with the equivalent modulus of system, E. The correction coefficient of ball diameter ratio exhibits that, along with the increase of structure size, it increases stably after rapid growth. Structure displacement correction coefficient is affected by the constraint condition of pier top and impact location. The practical application of this modifier formula in Dengjigou engineering result is only 6.7% of the calculated value by Hertz elastic collision theory, and according to the outcome that, relation curve between impact force and impact velocity is relatively flat, which performs in accordance with practical estimation.
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| Key words: debris flow impact force of boulder Hertz contact mechanics structure displacement correction factor |
