Biphasic behavior of energy in a stepped chain

doi:10.1088/1674-1056/25/6/064501

Abstract

The impact energy decay in a step-up chain containing two sections is numerically studied. There is a marked biphasic behavior of energy decay in the first section. Two sections close to the interface are in compression state. The degree of compression of the first section first decreases and becomes weakest at “crossing” time of biphasic behavior of energy, then increases. The further calculations provide the dependence of the character time on mass ratio (m₁/m₂), where m₁ and m₂ are the particle mass in the first and second section respectively. The bigger the α (α =[(Ωm₁-m₂)/(Ωm₁+m₂)]² with Ω =1.345), the bigger the energy ratio is. The multipulse structure restricts the transport of energy.

Keywords: granular chain solitary biphasic behavior

Received: 15 December 2015
Revised: 17 January 2016
Accepted manuscript online:

PACS:	45.70.-n	(Granular systems)
	46.40.Cd	(Mechanical wave propagation (including diffraction, scattering, and dispersion))
	47.20.Ky	(Nonlinearity, bifurcation, and symmetry breaking)

Fund:

Project supported by the National Natural Science Foundation of China (Grant Nos. 61174007 and 61307041) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2013AL014).

Corresponding Authors: Ping-Jian Wang
E-mail: pjianwang@sdibt.edu.cn

Cite this article:

Ping-Jian Wang(王平建), Ai-Xiang He(何爱香), Zhong-Hai Lin(林忠海), Guang-Fen Wei(魏广芬), Yan-Li Liu(刘燕丽) Biphasic behavior of energy in a stepped chain 2016 Chin. Phys. B 25 064501

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