考虑翘曲的周期铁摩辛柯梁的弯扭耦合振动带隙  

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

作　　者：方剑宇[1] 韩小云[1] 蔡力[1] 郁殿龙[1] 

机构地区：[1]国防科技大学机电工程与自动化学院机电工程研究所,长沙410073

出　　处：《振动与冲击》2009年第5期146-149,共4页Journal of Vibration and Shock

基　　金：国家973重大基础研究资助项目(51307)

摘　　要：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 regarding periodic structure of phononic crystals was 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 was investigated.Based on the equation of coupled flexural-torsional vibration of beam,the energy band structure of such a beam was presented by making use of the transfer matrix theory.The transmission characteristic of vibration of the finite periodic beams was simulated by using finite element method,which shows the frequency range,within which the vibration attenuates,agrees well with the energy band gap.Comparing with the energy band structure obtained under the condition ignoring the warping effect,the result shows that meaningless result may be achieved if igoring the warping deformation.

关 键 词：声子晶体 带隙 弯扭耦合振动 铁摩辛柯梁 翘曲 

分 类 号：TH113[机械工程—机械设计及理论] O48[理学—固体物理]