Doubly coupled vibration band gaps in periodic thin-walled open cross-section beams

作者：Yu, DL^*; Liu, YZ; Qiu, J; Wang, G; Wen, JH

来源：Chinese Physics, 2005, 14(8): 1501-1506.

DOI：10.1088/1009-1963/14/8/004

• phononic crystals
• doubly coupled vibration
• band gaps
• thin-walled beam

This paper studies flexural-torsional doubly coupled vibration through periodic thin-walled open cross-section beams composed of two kinds of materials. Based on the doubly coupled vibration equation, plane wave expansion method for the thin-walled beams is provided. If the filling fraction keeps constant, the lattice is one of the factors that affect the normalized gap width. If the lattice and filling fraction keeps constant, the Young modulus contrast plays a fundamental role for the band gap width, but not density contrast. Finally, the frequency response of a finite periodic binary beam is simulated by finite element method, which provides an attenuation of about 40dB in the frequency range of the band gaps. The findings will be significant in the application of phononic crystals.

• 出版日期2005-8
• 单位中国人民解放军国防科学技术大学