A numerical study on parametric resonance of intrinsic localized modes in coupled cantilever arrays

DOI 参考文献9件

説明

In a coupled cantilever array modeled as a coupled ordinary differential equation, symmetric and antisymmetric intrinsic localized modes (ILMs) exist. The symmetric ILM is stable while the other is unstable under the regime in which the ratio in nonlinearities of inter-site and on-site potentials is less than the critical value at which the stability change occurs. This paper shows that a stable ILM loses its stability when the system is parametrically excited. If the amplitude of parametric excitation is large enough, the destabilized ILM wanders in the whole system. The parameter region where the instability occurs are numerically investigated and compared with that in the Mathieu equation. The similarity of the shape of the regions strongly suggests that the instability is caused by the parametric resonance.

収録刊行物

  • IEICE Proceeding Series

    IEICE Proceeding Series 1 474-477, 2014-03-17

    The Institute of Electronics, Information and Communication Engineers

参考文献 (9)*注記

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詳細情報 詳細情報について

  • CRID
    1390002212174147840
  • DOI
    10.15248/proc.1.474
  • ISSN
    21885079
  • 本文言語コード
    en
  • データソース種別
    • JaLC
    • Crossref
    • OpenAIRE
  • 抄録ライセンスフラグ
    使用不可

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