落石运动路径按区间分段算法

The Algorithm to Calculate the Rockfall Motion Path with the Partitioning Interval Computation Method

依据落石经过计算区间时的运动状态,将计算区间分为7类。在计算区间内,按飞行、滚动和碰撞3种模式划分运动段进行计算,并且明确了落石在3种运动模式之间的转换条件。在计算时,首先根据坡表特征划分计算区间;然后依次计算落石在每个计算区间的运动路径,并且同时判断计算区间的类型;最后得到落石运动路径。通过假定落石运动路径计算中的关键参数服从均匀分布,模拟落石运动的随机性。通过一个算例检验算法的正确性,并在算例中展示了7类计算区间和20次随机计算结果。本文为落石的治理工程设计中计算落石可能的运动路径提供一种新算法。

A new algorithm method about the possible motion path of rockfall is proposed,which should be clear in the design of rockfall prevention engineering.According to the rockfall motion state,when the rockfall goes through the different calculation interval,the calculation intervals are divided into seven classes.In the calculation intervals,the motion process is divided by three types including flight,rolling and crash,and the conversion conditions of the rockfall among the three motion types are defined.First,the calculation intervals are classified by the slope surface characteristic;then the motion path of rockfall is calculated in each calculation interval orderly,and the type of the calculation interval should be determined at the same time;so the motion path is obtained at last.For simulating the motion randomness of the rockfall,the key parameters in the calculation are assumed to obey uniform distribution.The correctness of the algorithm is verified by a numerical example and the seven kinds of calculation intervals and the results of 20 random calculations are also shown in the example.