Coupled flexural-torsional vibration band gap in periodic beam including warping effect

• 来源期刊: 中国物理B（英文版）
• 关键词: phononic crystals coupled flexural-torsional beam transfer matrix method warping stiffness
• 年，卷（期）: 2009,（4）
• 页码范围: 1316-1321
• 页数: 6页
• 语种: 英文

摘要

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.