Coupled flexural-torsional vibration band gap in periodic beam including warping effect |
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Authors: | Fang Jian-Yu Yu Dian-Long Han Xiao-Yun and Cai Li |
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Institution: | Institute of Mechatronical Engineering, and PBG Research
Center, National University of Defense Technology, Changsha
410073, China |
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Abstract: | The propagation of coupled flexural-torsional vibration in the
periodic beam including warping effect is investigated with the
transfer matrix theory. The band structures of the periodic beam,
both including warping effect and ignoring warping effect, are
obtained. The frequency response function of the finite periodic
beams is simulated with finite element method, which shows large
vibration attenuation in the frequency range of the gap as expected.
The effect of warping stiffness on the band structure is studied and
it is concluded that substantial error can be produced in high
frequency range if the effect is ignored. The result including
warping effect agrees quite well with the simulated result. |
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Keywords: | phononic crystals coupled
flexural-torsional beam transfer matrix method warping
stiffness |
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