Excitation of intrinsic localized modes in finite mass-spring chains driven sinusoidally at end

Proceedings of the Estonian Academy of Sciences

Takunobu Nishida¹  Nobumasa Sugimoto¹  Yosuke Watanabe¹ 

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关键词: nonlinear localized oscillations;    intrinsic localized modes;    discrete breathers;    Fermi–Pasta–Ulam chains;    piecewise linear approximation;   

DOI  :  10.3176/proc.2015.3S.12

学科分类：化学（综合）

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

Localized oscillations in finite mass-spring chains, driven sinusoidally at one end with the other fixed, are studied numerically. It is assumed that the restoring force of the spring is given by a piecewise linear function of a relative displacement between neighbouring masses, i.e. a spring constant changes at a threshold of the displacement. Linear damping proportional to the velocity of the mass is taken into account. The mass at one end is forced to be displaced in the direction of the chains at a frequency above the cut-off frequency. It is shown that when the amplitude exceeds the threshold, localized oscillations are excited intermittently at the driving end and propagated down the chain at a constant speed.

【 授权许可】

Unknown