Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals

	Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals
	Charalampidis, E. G.; F. Li; C. Chong; J. Yang and P. G. Kevrekidis
	2015
发表期刊	Mathematical Problems in Engineering
页码	15
摘要	We consider time-periodic structures of granular crystals consisting of alternate chrome steel (S) and tungsten carbide (W) spherical particles where each unit cell follows the pattern of a 2 :1 trimer: S-W-S. The configuration at the left boundary is driven by a harmonic in-time actuation with given amplitude and frequency while the right one is a fixed wall. Similar to the case of a dimer chain, the combination of dissipation, driving of the boundary, and intrinsic nonlinearity leads to complex dynamics. For fixed driving frequencies in each of the spectral gaps, we find that the nonlinear surface modes and the states dictated by the linear drive collide in a saddle-node bifurcation as the driving amplitude is increased, beyond which the dynamics of the system becomes chaotic. While the bifurcation structure is similar for solutions within the first and second gap, those in the first gap appear to be less robust. We also conduct a continuation in driving frequency, where it is apparent that the nonlinearity of the system results in a complex bifurcation diagram, involving an intricate set of loops of branches, especially within the spectral gap. The theoretical findings are qualitatively corroborated by the experimental full-field visualization of the time-periodic structures.
收录类别	SCI
文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/55189
专题	中科院长春光机所知识产出
推荐引用方式 GB/T 7714	Charalampidis, E. G.,F. Li,C. Chong,et al. Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals[J]. Mathematical Problems in Engineering,2015:15.
APA	Charalampidis, E. G.,F. Li,C. Chong,&J. Yang and P. G. Kevrekidis.(2015).Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals.Mathematical Problems in Engineering,15.
MLA	Charalampidis, E. G.,et al."Time-Periodic Solutions of Driven-Damped Trimer Granular Crystals".Mathematical Problems in Engineering (2015):15.

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