ESTONIAN ACADEMY
PUBLISHERS
eesti teaduste
akadeemia kirjastus
PUBLISHED
SINCE 1952
 
Proceeding cover
proceedings
of the estonian academy of sciences
ISSN 1736-7530 (Electronic)
ISSN 1736-6046 (Print)
Impact Factor (2022): 0.9
Excitation of intrinsic localized modes in finite mass-spring chains driven sinusoidally at end; pp. 417–421
PDF | doi: 10.3176/proc.2015.3S.12

Authors
Yosuke Watanabe, Takunobu Nishida, Nobumasa Sugimoto
Abstract

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.

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