Biphasic behavior of energy in a stepped chain

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

中国物理B ›› 2016, Vol. 25 ›› Issue (6): 64501-064501.doi: 10.1088/1674-1056/25/6/064501

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

Biphasic behavior of energy in a stepped chain

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)

School of Information & Electronics Engineering, Shandong Institute Of Business and Technology, Yantai 264005, China

收稿日期:2015-12-15 修回日期:2016-01-17 出版日期:2016-06-05 发布日期:2016-06-05
通讯作者: Ping-Jian Wang E-mail:pjianwang@sdibt.edu.cn
基金资助:
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).

Biphasic behavior of energy in a stepped chain

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)

School of Information & Electronics Engineering, Shandong Institute Of Business and Technology, Yantai 264005, China

Received:2015-12-15 Revised:2016-01-17 Online:2016-06-05 Published:2016-06-05
Contact: Ping-Jian Wang E-mail:pjianwang@sdibt.edu.cn
Supported by:
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).

摘要/Abstract

摘要：

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.

关键词: granular chain, solitary, biphasic behavior

Abstract:

Key words: granular chain, solitary, biphasic behavior

中图分类号: (Granular systems)

45.70.-n

46.40.Cd (Mechanical wave propagation (including diffraction, scattering, and dispersion)) 47.20.Ky (Nonlinearity, bifurcation, and symmetry breaking)

王平建, 何爱香, 林忠海, 魏广芬, 刘燕丽. Biphasic behavior of energy in a stepped chain[J]. 中国物理B, 2016, 25(6): 64501-064501.

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[J]. Chin. Phys. B, 2016, 25(6): 64501-064501.

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Biphasic behavior of energy in a stepped chain

Biphasic behavior of energy in a stepped chain

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