Daraio C, Ngo D, Nesterenko V F, Fraternali F
Aeronautics (GALCIT) and Applied Physics, California Institute of Technology, Pasadena, California 91125, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2010 Sep;82(3 Pt 2):036603. doi: 10.1103/PhysRevE.82.036603. Epub 2010 Sep 8.
The propagation of highly nonlinear signals in a branched two-dimensional granular system was investigated experimentally and numerically for a system composed of chains of spherical beads of different materials. The system studied consists of a double Y-shaped guide in which high- and low-modulus/mass chains of spheres are arranged in various geometries. We observed the transformation of a single or a train of solitary pulses crossing the interface between branches. We report fast splitting of the initial pulse, rapid chaotization of the signal and impulse redirection and bending. Pulse and energy trapping was also observed in the branches. Numerical analysis based on Hertzian interaction between the particles and the side walls of the guide was found in agreement with the experimental data, except for nonsymmetric arrangements of particles excited by a large mass striker.
针对由不同材料的球形珠子链组成的系统，对高度非线性信号在分支二维颗粒系统中的传播进行了实验和数值研究。所研究的系统由一个双Y形导轨组成，其中高模量/质量和低模量/质量的球体链以各种几何形状排列。我们观察到单个或一串孤立脉冲穿过分支之间的界面时的转变。我们报告了初始脉冲的快速分裂、信号的快速混沌化以及脉冲重定向和弯曲。在分支中还观察到了脉冲和能量捕获。基于颗粒与导轨侧壁之间赫兹相互作用的数值分析与实验数据一致，但由大质量撞击器激发的颗粒非对称排列情况除外。
