Interaction and multiscale mechanics

  • 제6권1호
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  • Pages.15-29
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  • 2013
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  • 1976-0426(pISSN)
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  • 2092-6200(eISSN)
테크노프레스 (Techno-Press)
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DOI QR코드

DOI QR Code

Theoretical analysis of transient wave propagation in the band gap of phononic system

  • Lin, Yi-Hsien (Department of Mechanical Engineering, National Taiwan University) ;
  • Ma, Chien-Ching (Department of Mechanical Engineering, National Taiwan University)
  • 투고 : 2013.02.18
  • 심사 : 2013.02.25
  • 발행 : 2013.03.25
⟨ 이전 논문 다음 논문 ⟩

초록

Phononic system composed of periodical elastic structures exhibit band gap phenomenon, and all elastic wave cannot propagate within the band gap. In this article, we consider one-dimensional binary materials which are periodically arranged as a 20-layered medium instead of infinite layered system for phononic system. The layered medium with finite dimension is subjected to a uniformly distributed sinusoidal loading at the upper surface, and the bottom surface is assumed to be traction free. The transient wave propagation in the 20-layered medium is analyzed by Laplace transform technique. The analytical solutions are presented in the transform domain and the numerical Laplace inversion (Durbin's formula) is performed to obtain the transient response in time domain. The numerical results show that when a sinusoidal loading with a specific frequency within band gap is applied, stress response will be significantly decayed if the receiver is away from the source. However, when a sinusoidal force with frequency is out of band gap, the attenuation of the stress response is not obvious as that in the band gap.

키워드

과제정보

연구 과제 주관 기관 : National Science Council

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