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.
Received: 16 August 2008
Revised: 13 November 2008
Accepted manuscript online:
Fund: Project supported by the State Key
Development Program for Basic Research of China (Grant No 51307) and
the National Natural Science Foundation of China (Grant No
50575222).
Cite this article:
Fang Jian-Yu(方剑宇), Yu Dian-Long(郁殿龙), Han Xiao-Yun(韩小云), and Cai Li(蔡力) Coupled flexural-torsional vibration band gap in periodic beam including warping effect 2009 Chin. Phys. B 18 1316
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