将声子晶体的周期结构思想引入到梁的结构设计中，研究了包含翘曲变形的二组元周期结构铁摩辛柯梁的弯扭耦合振动。基于梁的弯扭耦合振动方程，利用传递矩阵理论，得到包含翘曲变形的二组元无限周期结构铁摩辛柯梁的能带结构。利用有限元方法仿真了有限周期结构的振动传输特性，振动传输特性曲线中的衰减频率范围与能带结构较好吻合。与忽略翘曲变形情况下得到的该梁的能带结构进行对比，结果表明，如果忽略翘曲变形，可能得到毫无意义的结果。

The idea of periodic stucture of phononic crystals is introduced to the physical design of the beam, and the propagation of coupled flexural-torsional vibration in the periodic Timoshenko beam composed of two kinds of materials including warping effect is investigated. Based on the equation of coupled flexural-torsional vibration of beam, the band structure of such a beam are presented by making use of the transfer matrix theory. The transmission characteristic of vibration of the finite periodic beams is simulated by using finite element method, which shows vibration attenuation in the range of frequency agrees well with the band gap. Comparing with the band structure obtained from the condition ignoring the warping effect, the result has shown that it may be getting the meaningless result if igoring the warping deformation.