Calculation of impact force of falling rock based on elastoplastic modified hertz contact theory
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摘要: 本文以弹塑性修正的Hertz接触理论为基础,考虑落石冲击缓冲层过程的复杂性和缓冲层厚度的影响,结合路基规范方法的落石冲击深度公式,得出落石最大冲击力计算方法。以日本道路公团方法计算结果上浮40%为基准值,引入参数影响系数f,拟合出参数影响系数‘多项式函数,采用S.Kawahara等教授的试验结果,对杨其新方法进行修正,拟合出其高值(h=0.5m)与低值(h=3.0m)比值的多项式函数。本文方法与陈氏方法进行比较得知:陈氏方法的最大冲击力低值稍高于本文方法,其范围为1.05~1.02(H=5~30m)。运用布西涅斯克解,推导出了落石冲击荷载作用于拦石墙背部的附加应力计算公式,为拦石墙构筑物的结构设计打下了理论基础。Abstract: A theoretical method based on modified Hertz contact theory is presented for calculation of impact force of falling rock. Combining the formula of the impact depth of falling rock in Code for design of highway subgrades. Special attentions are given to the complexity of impact and the thickness of soil buffer layer. The paper introduces Parameters influence coefficientζand polynomial was obtained for polynomial fitting method about it, according to Japan Highway Public Corporation calculated the results go up 40% as the base value. The method of Yang is modified using test results of S. Kawahara, etc. Professor to consider the maximum impact force. Polynomial is obtained for the ratio of high value (h = 0.5m) and low value (h = 3.0m). This method is compared with the method of Chen professor, it is shown that the method of Chen professor is slightly higher than this method in low value, the scope for 1.05 - 1.02 (H = 5 - 30m). A formula is obtained using Boussinnesq s solution for the additional stress of falling rock impact load acting on the retaining wall back, This provides a theoretical basis for the structural design of retaining wall.
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