Solitary wave trains in granular chains: experiments, theory and simulations
Solitary wave trains in granular chains: experiments, theory and simulations
复制标题
DOI：
10.1007/s10035-007-0054-2
复制
发表时间：
2007-09
期刊：
影响因子：
2.4
通讯作者：
S. Job;F. Melo;A. Sokolow;S. Sen
中科院分区：
文献类型：
--
作者：
S. Job;F. Melo;A. Sokolow;S. Sen
在水平单分散微珠链中观察到的孤立波的特征不仅取决于微珠的几何和材料性质，而且还取决于微珠链边缘的初始扰动。单分散链上的一个大前锋的影响，同样是一个急剧下降的珠半径在一个阶梯链，产生一个孤立波列包含许多单孤立波按振幅递减排序。通过简单的分析论证，我们发现链边缘压缩力的卸载几乎呈指数级下降。特征时间主要是颗粒质量和撞击质量的函数。数值计算和实验证实了这些发现。
The features of solitary waves observed in horizontal monodisperse chain of barely touching beads not only depend on geometrical and material properties of the beads but also on the initial perturbation provided at the edge of the chain. An impact of a large striker on a monodisperse chain, and similarly a sharp decrease of bead radius in a stepped chain, generates a solitary wave train containing many single solitary waves ordered by decreasing amplitudes. We find, by simple analytical arguments, that the unloading of compression force at the chain edge has a nearly exponential decrease. The characteristic time is mainly a function involving the grains’ masses and the striker mass. Numerical calculations and experiments corroborate these findings.