The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the per...The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the perturbation is very weak, the exponent is (1 - 1/p). When the perturbation is very strong, the exponent approaches zero. The transition of the exponent from oscillatory regime with weak nonlinearity to quasi-solitary regime with strong nonlinearity is smooth.展开更多
We numerically study the propagation, reflection and collision of soliton-like pulses in the vertical granular chain under gravity. For the pure granular chain system, during the propagation and reflection processes a...We numerically study the propagation, reflection and collision of soliton-like pulses in the vertical granular chain under gravity. For the pure granular chain system, during the propagation and reflection processes at the fixed end, it behaves like a particle. When it is reflected at the free end, it behaves as neither particle-like nor wave-like. When the strengths of the two colliding soliton-like pulses are close, they collide just like particles. When their strengths are greatly different, they collide just like waves. For the soliton behavior in the collision process, from particle-like to wave-like, there is a critical value for the ratio of the strengths of the two initial pulses. For the two-layer granular chain, if the mass of the grains in the second layer is less than that in the first layer, the soliton-like pulse in the first layer usually excites about soliton-like pulses in the second layer.展开更多
基金The authors acknowledge the financial support，韩国研究项目，韩国教育部资助项目
文摘The signalgenerated by an initial perturbation dispersively propagates in the vertical granular chain under gravity. For the power-law-type contact force, the signalspeed follows power-law with the depth. When the perturbation is very weak, the exponent is (1 - 1/p). When the perturbation is very strong, the exponent approaches zero. The transition of the exponent from oscillatory regime with weak nonlinearity to quasi-solitary regime with strong nonlinearity is smooth.
基金the Korea Research Foundation，国家自然科学基金，高等学校博士学科点专项科研项目
文摘We numerically study the propagation, reflection and collision of soliton-like pulses in the vertical granular chain under gravity. For the pure granular chain system, during the propagation and reflection processes at the fixed end, it behaves like a particle. When it is reflected at the free end, it behaves as neither particle-like nor wave-like. When the strengths of the two colliding soliton-like pulses are close, they collide just like particles. When their strengths are greatly different, they collide just like waves. For the soliton behavior in the collision process, from particle-like to wave-like, there is a critical value for the ratio of the strengths of the two initial pulses. For the two-layer granular chain, if the mass of the grains in the second layer is less than that in the first layer, the soliton-like pulse in the first layer usually excites about soliton-like pulses in the second layer.
