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慈竹对小型落石的拦截效果分析

陈海东, 叶四桥, 曾彬, 张立舟, 崔开林, 刘蓓, 辛立平. 慈竹对小型落石的拦截效果分析[J]. 中国地质灾害与防治学报, 2023, 34(5): 97-106. doi: 10.16031/j.cnki.issn.1003-8035.202206024
引用本文: 陈海东, 叶四桥, 曾彬, 张立舟, 崔开林, 刘蓓, 辛立平. 慈竹对小型落石的拦截效果分析[J]. 中国地质灾害与防治学报, 2023, 34(5): 97-106. doi: 10.16031/j.cnki.issn.1003-8035.202206024
CHEN Haidong, YE Siqiao, ZENG Bin, ZHANG Lizhou, CUI Kailin, LIU Bei, XIN Liping. Analysis on the interception effect of neosinocalamus affinis on small falling rocks[J]. The Chinese Journal of Geological Hazard and Control, 2023, 34(5): 97-106. doi: 10.16031/j.cnki.issn.1003-8035.202206024
Citation: CHEN Haidong, YE Siqiao, ZENG Bin, ZHANG Lizhou, CUI Kailin, LIU Bei, XIN Liping. Analysis on the interception effect of neosinocalamus affinis on small falling rocks[J]. The Chinese Journal of Geological Hazard and Control, 2023, 34(5): 97-106. doi: 10.16031/j.cnki.issn.1003-8035.202206024

慈竹对小型落石的拦截效果分析

  • 基金项目: 重庆市研究生导师团队建设项目(JDDSTD2022009)
详细信息
    作者简介: 陈海东(1997-),男,重庆石柱人,硕士研究生,主要从事岩土工程防灾减灾方面研究。E-mail:1217430861@qq.com
    通讯作者: 叶四桥(1978-),男,湖北孝感人,博士(后)、教授,博士生导师,主要从事岩土工程防灾减灾方面研究和教学工作。E-mail:yesiqiao@cqjtu.edu.cn
  • 中图分类号: P642.21

Analysis on the interception effect of neosinocalamus affinis on small falling rocks

More Information
  • 落石灾害是我国西南地区常见的一种小型崩塌。落石对下方公路、桥梁、铁路等基础设施安全造成严重威胁。因此,如何对落石进行有效的拦截就显得尤为重要。常见的拦截设施,如拦石沟,拦石网,挡墙等,在布设时极易受地形、施工等因素的限制,有时难以大面积地布置,导致拦挡效果大为减弱。我国的西南地区生长着大量慈竹,慈竹具有生长快、繁殖能力强、抗弯折等特点,对落石具有很好的拦截效果。文章通过模型试验与数值模拟相结合的方法,对慈竹的抗冲击能力进行了研究并提出了慈竹拦截小型落石的方案。结果如下:(1)慈竹破坏所需能量随着直径和壁厚的变大而上升,随着年龄、长重比和长径比的增大而降低;(2) 一丛慈竹在抗冲击过程中最少能消耗3975.55 J能量,最多能消耗10890.88 J能量;(3)结合CRockfall软件进行慈竹落石拦截效应计算,结果显示拦截边坡高度43 m、直径0.5 m的危岩,需栽种2列3行6丛慈竹。

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  • 图 1  落石试件

    Figure 1. 

    图 2  固定慈竹

    Figure 2. 

    图 3  落石冲击慈竹

    Figure 3. 

    图 4  试验全要素示意图

    Figure 4. 

    图 5  不同直径慈竹被砸折所需能量

    Figure 5. 

    图 6  不同壁厚慈竹被砸折所需能量

    Figure 6. 

    图 7  不同年龄慈竹被砸折所需能量

    Figure 7. 

    图 8  不同长重比慈竹被砸折所需能量

    Figure 8. 

    图 9  不同长径比慈竹被砸折所需能量

    Figure 9. 

    图 10  不同冲击位置慈竹被砸折所需能量

    Figure 10. 

    图 11  不同径厚比慈竹被砸折所需能量

    Figure 11. 

    图 12  慈竹的破坏模式图

    Figure 12. 

    图 13  慈竹有限元模型

    Figure 13. 

    图 14  碰撞过程

    Figure 14. 

    图 15  碰撞过程应力变化

    Figure 15. 

    图 16  落石能量变化曲线

    Figure 16. 

    图 17  慈竹总能量变化曲线

    Figure 17. 

    图 18  慈竹内能变化曲线

    Figure 18. 

    图 19  慈竹动能变化曲线

    Figure 19. 

    图 20  落石坡段概貌图

    Figure 20. 

    图 21  落石运动轨迹图

    Figure 21. 

    表 1  慈竹直径 、壁厚试验结果

    Table 1.  Experimental results of diameter and wall thickness of bamboo

    试验参数数值最大值/J最小值/J平均值/J样本/根平均值/J标准差变异系数修正系数标准值
    /J
    直径/mm新生竹35~40275.34197.90251.684251.6836.760.14610.8329209.61
    51~45283.95223.71253.1112253.1120.900.08260.9567242.15
    46~50309.76223.71255.4416255.4422.160.08670.9615245.6
    51~55344.18240.92268.0613268.0627.850.10390.948 0254.13
    老竹39~40240.92206.51223.713223.7117.210.07690.8844197.84
    41~45258.13215.11240.9211240.9215.390.06390.9647232.42
    46~51275.34223.71241.5415245.2218.320.07470.9656236.78
    壁厚/mm新生竹4275.34197.90250.608250.6026.220.10460.9293232.89
    5283.95223.71246.4514246.4519.860.08060.9614236.94
    6283.95240.92260.4315260.4313.980.05370.9753253.99
    7~9344.18240.92281.798281.7933.090.11740.9207259.44
    老竹4249.53206.51240.923238.0513.150.05520.917 0218.29
    5258.13223.71240.9215240.3518.240.07590.965 0231.94
    6~7275.34240.92258.1312243.7919.180.07870.9587233.73
      注:竹龄小于等于1 a的为新生竹,竹龄2~3 a的为老竹。
    下载: 导出CSV

    表 2  长重比、年龄和长径比试验结果

    Table 2.  Experimental results of length-to-weight ratio, age and length-to-diameter ratio

    试验参数数值最大值/J最小值/J平均值/J样本/根平均值
    /J
    标准差变异系数修正系数标准值
    /J
    年龄/a新生竹1344.18197.90258.1344258.1324.950.09670.9752251.73
    老竹2~3275.34206.51241.5030241.5017.780.07360.9763235.77
    长重比
    /(m·kg−1
    新生竹0.9~1.3344.18240.92269.6015269.6028.660.10630.951 0256.40
    1.4~1.8275.34223.71254.1614254.4418.400.07230.9653245.63
    1.9~2.7283.95197.90250.6016250.6023.700.09460.958 0240.07
    老竹1.2~1.3275.34223.71245.709245.7022.810.09280.9419231.43
    1.5~1.6258.13215.11241.7810241.7814.880.06150.964 0233.07
    1.7~2.2258.13206.51237.7911237.7916.450.06920.9618228.71
    长径比新生竹65~70292.55240.92259.8510259.8518.500.07120.9583249.02
    71~76344.18249.53278.219278.2130.420.10940.9316259.17
    77~85283.95223.71253.2114253.2118.710.07390.9646244.25
    86~103275.34197.90247.3712247.3725.190.10180.9466234.17
    老竹65~70275.34223.71251.449251.4419.610.078 00.9512239.17
    71~79258.13223.71237.7911237.7913.480.05670.9687230.34
    81~97258.13206.51236.6210236.6218.250.07710.9548225.93
      注:竹龄小于等于1 a的为新生竹,竹龄2~3 a的为老竹
    下载: 导出CSV

    表 3  冲击位置和径厚比试验结果

    Table 3.  Experimental results of impact position and diameter-to-thickness ratio

    试验参数数值最大值/J最小值/J平均值/J样本/根平均值
    /J
    标准差变异系数修正系数标准值
    /J
    冲击位置/m新生竹0.5~0.9344.18223.71260.8216260.8226.790.10270.9544248.92
    1.0~1.5275.34197.90251.5113251.5123.60.09390.953 0239.70
    1.7~2.6309.76223.71260.8216260.8224.690.09460.958 0249.85
    老竹0.6~0.9275.34215.11246.669246.6620.630.08370.9477233.75
    1.0~1.5266.74223.71243.799243.7915.510.06360.9602234.08
    1.6~1.9258.13206.51235.9012235.9017.000.072 00.9622226.99
    径厚比新生竹6~7309.76240.92268.898268.8920.440.076 00.9486255.08
    8344.18233.71266.7413266.7431.420.11780.9411251.02
    9283.95197.90250.2412250.2423.910.09550.9499237.71
    10~13275.34223.71249.5312249.5315.990.06410.9664241.14
    老竹7275.34223.71246.055246.0818.850.07660.9273228.19
    8275.34206.51234.6611234.6620.030.08530.9529223.60
    9266.74223.71245.847245.8415.600.06340.9531234.30
    10~12258.13223.71244.617244.6115.600.06380.9528233.07
      注:竹龄小于等于1 a的为新生竹,竹龄2~3 a的为老竹
    下载: 导出CSV

    表 4  不同直径不同厚度模拟结果

    Table 4.  Simulation results for different diameters and thicknesses

    直径/cm厚度/m最大值/J最小值/J位移/cm总能量/J内能/J动能/J
    50.003240.86110.670−14.51145.53143.601.9327
    0.004247.7910.194−14.58187.17180.4316.878
    0.005269.1752.5460.12224.54211.9914.560
    0.006338.6337.17412.50314.85301.5213.328
    60.003276.50102.050−12.4086.2753.2333.035
    0.004276.5030.800−0.18158.52116.9541.572
    0.005314.6063.0860.1197.0873.51924.421
    0.006372.0618.0300.19155.13116.1938.930
    70.003299.0777.015−24.83107.9775.0032.939
    0.004306.7844.891−46.61103.4285.5917.833
    0.005330.5337.9100.10142.89126.1432.950
    0.006414.250.830−0.11177.09147.7029.392
    下载: 导出CSV

    表 5  物理模型试验与数值模拟对比

    Table 5.  Comparison between physical model experiment and numerical simulation

    厚度/m慈竹破坏所需能量/J
    物理模型试验数值模拟
    0.003153.87145.53
    0.004198.55187.17
    0.005234.44224.54
    0.006328.62314.85
    下载: 导出CSV

    表 6  一丛慈竹消耗能量

    Table 6.  The energy consumption of a bamboo cluster

    根/丛<4:4~6:6~8cm<44~66~8J/丛
    2621.38:58.15:20.1761555941.27
    1831.14:61.83:6.9261113975.55
    3072.18:26.99:0.8322805899.98
    下载: 导出CSV

    表 7  落石坡段信息

    Table 7.  Falling rock section information

    序号水平投影长度/m竖向投影长度/m坡段长/m坡角/(°)
    19.809.800−0
    21.68.28.35578.959
    32.17.67.88574.554
    43.911.011.67170.478
    54.08.19.03463.719
    614.16.615.56825.084
    725.81.725.8563.770
    825.70.325.702−0.669
    下载: 导出CSV

    表 8  数据采集器结果

    Table 8.  Data collector results

    参数最大值95%保证率值平均值
    速度/(m·s−110.4058.8484.177
    冲击能量/kJ7.7941.8490.468
    弹跳高度/m0.7660.6360.244
    采集点位置/m27.043
    横向威胁范围/m3.207
    下载: 导出CSV
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出版历程
收稿日期:  2022-06-20
修回日期:  2022-10-09
刊出日期:  2023-10-25

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