Free vibration of FGM Timoshenko beams with through-width delamination  

作　　者：LI ShiRong FAN LiangLiang 

机构地区：[1]College of Civil Science and Engineering,Yangzhou University [2]School of Aerospace,Xi'an Jiaotong University

出　　处：《Science China(Physics,Mechanics & Astronomy)》2014年第5期927-934,共8页中国科学：物理学、力学、天文学（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11272278)

摘　　要：Free vibration of functionally graded beams with a through-width delamination is investigated. It is assumed that the material property is varied in the thickness direction as power law functions and a single through-width delamination is located parallel to the beam axis. The beam is subdivided into three regions and four elements. Governing equations of the beam segments are derived based on the Timoshenko beam theory and the assumption of ＇constrained mode＇. By using the differential quadrature element method to solve the eigenvalue problem of ordinary differential equations governing the free vibration, numerical re- suits for the natural frequencies of the beam are obtained. Natural frequencies of delaminated FGM beam with clamped ends are presented. Effects of parameters of the material gradients, the size and location of delamination on the natural frequency are examined in detail.Free vibration of functionally graded beams with a through-width delamination is investigated.It is assumed that the material property is varied in the thickness direction as power law functions and a single through-width delamination is located parallel to the beam axis.The beam is subdivided into three regions and four elements.Governing equations of the beam segments are derived based on the Timoshenko beam theory and the assumption of‘constrained mode’.By using the differential quadrature element method to solve the eigenvalue problem of ordinary differential equations governing the free vibration,numerical results for the natural frequencies of the beam are obtained.Natural frequencies of delaminated FGM beam with clamped ends are presented.Effects of parameters of the material gradients,the size and location of delamination on the natural frequency are examined in detail.

关 键 词：functionally graded materials beam free vibration natural frequency differential quadrature method DELAMINATION 

分 类 号：TB34[一般工业技术—材料科学与工程]