On natural frequencies of non-uniform beams modulated by finite periodic cells

Yanlong Xu, Xiaoling Zhou, Wei Wang, Longqi Wang, Fujun Peng, Bin Li

Research output: Contribution to journalArticlepeer-review

23 Scopus citations

Abstract

It is well known that an infinite periodic beam can support flexural wave band gaps. However, in real applications, the number of the periodic cells is always limited. If a uniform beam is replaced by a non-uniform beam with finite periodicity, the vibration changes are vital by mysterious. This paper employs the transfer matrix method (TMM) to study the natural frequencies of the non-uniform beams with modulation by finite periodic cells. The effects of the amounts, cross section ratios, and arrangement forms of the periodic cells on the natural frequencies are explored. The relationship between the natural frequencies of the non-uniform beams with finite periodicity and the band gap boundaries of the corresponding infinite periodic beam is also investigated. Numerical results and conclusions obtained here are favorable for designing beams with good vibration control ability.

Original languageEnglish
Pages (from-to)3278-3283
Number of pages6
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume380
Issue number40
DOIs
StatePublished - 23 Sep 2016

Keywords

  • Band gap
  • Finite periodicity
  • Natural frequency
  • Periodic modulation

Fingerprint

Dive into the research topics of 'On natural frequencies of non-uniform beams modulated by finite periodic cells'. Together they form a unique fingerprint.

Cite this