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落石对缓冲土层的冲击力及冲击深度理论与试验研究OA北大核心CSTPCD

Theoretical and Test Study of Impact Force and Impact Depth of Falling Rocks on Buffering Soil Layers

中文摘要英文摘要

为阐明基于Hertz接触理论的落石冲击力、冲击深度计算方法及缓冲土层强化系数确定方法的适用性和可行性,通过足尺模型试验、反演分析及数理统计,开展体积约 1m3 重约 2t的立方体和球顶锥体 2种落石形状、1~10 m下落高度及 0.5~2.0 m缓冲土层厚度的落石冲击试验研究,进行砂土缓冲层强化系数的确定及落石冲击力、冲击深度理论与试验结果的对比分析.研究结论表明:根据试验结果反演分析,99.7%置信区间的砂土缓冲层强化系数建议取值范围为 0.25~10.00 GN/m5/2;理论计算得到的立方体落石冲击力均值较试验值平均偏大140%,球顶锥体偏大 21%;理论计算得到的立方体落石冲击深度均值较试验值平均偏大 112%,球顶锥体偏大5%;在强化系数 99.7%置信区间内计算得到的落石冲击力和冲击深度范围值可包含全部的落石冲击力和冲击深度;相同条件下球顶锥体落石的冲击深度试验值大于立方体的冲击深度试验值,缓冲层厚度越大时冲击深度增大,而落石冲击力离散性较大,与落石形状和缓冲层厚度无明显相关性.

To elucidate the applicability and feasibility of the calculation methods for impact force and impact depth of falling rocks based on Hertz contact theory,as well as the determination method for the reinforcement coefficient of buffering soil layers,full-scale model tests,inversion analysis,and mathematical statistics methods were employed.The falling rock impact tests were carried out,involving cubic rock and conical rock with a spherical top,each with a volume of approximately 1 m3 and a weight of about 2 t.They were dropped from heights ranging from 1 to 10 m onto buffering soil layers with thicknesses of 0.5-2 m.Then,the reinforcement coefficient of buffering sand layers was determined,and theoretical and test results for impact force and impact depth of falling rocks were comparatively analyzed.The research conclusions are as follows:Based on inversion analysis of the test results,it is recommended that the reinforcement coefficient of buffering sand layers within the 99.7%confidence interval should range from 0.25 GN/m5/2 to 10.00 GN/m5/2.The theoretically calculated average impact force of cubic rock is 140%larger than the test value,while that of conical rock with a spherical top is 21%larger than the test value.The theoretically calculated average impact depth of cubic rock is 112%larger than the test value,while that of conical rock with a spherical top is 5%larger than the test value.Within the 99.7%confidence interval of the reinforcement coefficient,the range of calculated impact force and impact depth of rock can encompass 100%of the test results.Under the same conditions,the test value of the impact depth of conical rock with a spherical top is greater than that of cubic rock.The impact depth increases with the increase in the thickness of the buffering layer,while the variability in the impact force of falling rocks shows no significant correlation with the rock shape and buffering layer thickness.

王玉锁;杨竣翔;肖宗扬;李传宝;田四明;王伟;姚庆晨;赵状

西南交通大学土木工程学院,四川成都 611752中国铁路经济规划研究院有限公司,北京 100080

地质学

落石冲击力落石冲击深度缓冲土层弹塑性强化

impact force of falling rocksimpact depth of falling rocksbuffering soil layerelastoplastic strengthening

《西南交通大学学报》 2024 (005)

1078-1085 / 8

四川省自然科学基金项目(2022NSFSC1127);中国国家铁路集团有限公司科技研究开发计划(N2021G005)

10.3969/j.issn.0258-2724.20230303

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