Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:C2L-B
Session:
Number:C2L-B-5
Nonlinear Vibration Property of Local Resonators in Dynamics of an Acoustic Metamaterial
Naoki Higashiyama, Yusuke Doi, Akihiro Nakatani,
pp.805-808
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
Nonlinear dynamics of local resonators of an acoustic metamaterial is investigated. The fully nonlinear formulation is performed, and the asymptotic analysis of equations of motion is performed in weakly nonlinear dynamics. Both theoretical equations are verified numerically, and it is found a good agreement of them. Then, numerical study is performed in detail in weakly nonlinear dynamics. It is found that DC component and vibrations with local resonance frequency and twice higher frequency than an eigen frequency arise in local resonators. Moreover, this local resonance leads to quasi-periodic oscillation of local resonators.