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Flexural vibrations band gaps in phononic crystal Timoshenko beam by plane wave expansion method

YAN ZHANG1,* , ZHI QIANG NI1, LIN HAN1, ZI-MING ZHANG2, LIN-HUA JIANG1

Affiliation

  1. College of Mechanics and Materials, Hohai University, Nanjing 210098, Nanjing, Peoples Republic of China
  2. College of Mechanics and Materials, Hohai University, Nanjing 210098, Nanjing, People Republic of China

Abstract

With the idea of the phononic crystals, the advanced composite structures of phononic crystal Timoshenko beams are designed. The simplified vibration equation and the general vibration equation are firstly presented in this paper. Based on the two vibration equations, the plane wave expansion method is introduced to calculate the bending vibration band structures of phononic crystal Timoshenko beams. Compared with the results of two methods and the exact solution by the transfer matrix metho d, the present plane wave expansion method with two variables is suitable for solving band gaps of phononic crystal Timoshenko beams..

Keywords

Phononic crystal Timoshenko beam, Band gap, Plane wave expansion method, Vibration equation.

Citation

YAN ZHANG, ZHI QIANG NI, LIN HAN, ZI-MING ZHANG, LIN-HUA JIANG, Flexural vibrations band gaps in phononic crystal Timoshenko beam by plane wave expansion method, Optoelectronics and Advanced Materials - Rapid Communications, 6, 11-12, November-December 2012, pp.1049-1053 (2012).

Submitted at: June 8, 2012

Accepted at: Oct. 30, 2012