FLEXURAL VIBRATIONS BAND GAPS IN PERIODIC BEAMS INCLUDING ROTARY INERTIA AND SHEAR DEFORMATION EFFECTS  

作　　者：YU Dianlong WEN Jihong LIU Yaozong QIU Jing WANG Gang 

机构地区：[1]College of Mechantronics Engineering and Automation, National University of Defense Technology, Changsha 410073, China

出　　处：《Chinese Journal of Mechanical Engineering》2006年第1期25-27,共3页中国机械工程学报（英文版）

基　　金：This project is supported by National Key Basic Research Program of China (973 Program, No.51307).

摘　　要：With the idea of the phononic crystals, the beams with periodic structure are designed. Flexural vibration through such periodic beams composed of two kinds of materials is studied. The emphasis is laid on the effects of rotary inertia and shear deformation. Based on the vibration equation, plane wave expansion method is provided. The acceleration frequency responses of such beams with finite structure are simulated by the finite element method. The frequency ranges of sharp drops in the calculated acceleration frequency response curves are in good agreement with those in the band structures. The findings will be significant in the application of the periodic beams.With the idea of the phononic crystals, the beams with periodic structure are designed. Flexural vibration through such periodic beams composed of two kinds of materials is studied. The emphasis is laid on the effects of rotary inertia and shear deformation. Based on the vibration equation, plane wave expansion method is provided. The acceleration frequency responses of such beams with finite structure are simulated by the finite element method. The frequency ranges of sharp drops in the calculated acceleration frequency response curves are in good agreement with those in the band structures. The findings will be significant in the application of the periodic beams.

关 键 词：Phononic crystals Band gaps Rotary inertia Shear delormation 

分 类 号：TH113[机械工程—机械设计及理论]