ONE-DIMENSIONAL BOUNCE OF INELASTICALLY COLLIDING MARBLES ON A WALL
ONE-DIMENSIONAL BOUNCE OF INELASTICALLY COLLIDING MARBLES ON A WALL
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DOI：
10.1088/0305-4470/23/24/016
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发表时间：
1990-12-21
期刊：
影响因子：
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通讯作者：
MAZIGHI, R
中科院分区：
文献类型：
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作者：
BERNU, B;MAZIGHI, R
零速度的N颗弹珠被一面以等速运动的墙推开。用非弹性系数ETA处理碰撞，并对运动方程进行数值积分，直到不再有弹子与墙碰撞。主要考察的量是弹回弹子的相对动能E(K)。本文提出了一个“独立碰撞波”模型，该模型很好地预测了弹丸贴壁时E(K)的最大值Eta-1=2(1-1/n)-1，以及Eta-2=tan2pi/4(1-(1/n))。结果表明，对于较大的n，唯一重要的参数是Gamma=(1-eta)n。当大理石被扔到柱子上时，得到了相同的结果。
n marbles with zero velocity are pushed away by a wall moving at constant velocity. The collisions are treated using an inelasticity coefficient eta and the equations of motion are numerically integrated until no more marbles collide with the wall. The principal investigated quantity is the relative kinetic energy E(k) of the bounced marbles. A model of `independent collision waves' is presented which predicts with a good precision the maximum of E(k) for eta-1 = 2(1-1/n) -1, and the value eta-2 = tan2 pi/4(1-(1/n)) at which the marbles stick to the wall. It is found that, for large n, the only important parameter is gamma = (1 - eta)n. Equivalent results are found when a marble is thrown against the column.