Analytical Solutions for Free Vibration and Buckling of Composite Beams Using a Higher Order Beam Theory  

作　　者：Guanghui He Dejiang Wang Xiao Yang 

机构地区：[1]School of Maritime and Civil Engineering, Zhejiang Ocean University [2]Department of Civil Engineering, Shanghai University

出　　处：《Acta Mechanica Solida Sinica》2016年第3期300-315,共16页固体力学学报（英文版）

基　　金：Project supported by the National High Technology Research and Development Program of China(No.2009AA032303-2)

摘　　要：To satisfy the interfacial shear force continuity conditions, a new model is proposed for the two-layer composite beam with partial interaction by modifying Reddy＇s higher order beam theory. The governing differential equations for free vibration and buckling are formulated using the Hamilton＇s principle, the natural frequencies and axial forces are thus analytically obtained by Laplace transform technique. The analytical results are verified through the comparison with those of several other models common in use; and the presented model is found to be a finer one than the Reddy＇s. A parametric study is also performed to investigate the effects of geometry and material parameters.To satisfy the interfacial shear force continuity conditions, a new model is proposed for the two-layer composite beam with partial interaction by modifying Reddy＇s higher order beam theory. The governing differential equations for free vibration and buckling are formulated using the Hamilton＇s principle, the natural frequencies and axial forces are thus analytically obtained by Laplace transform technique. The analytical results are verified through the comparison with those of several other models common in use; and the presented model is found to be a finer one than the Reddy＇s. A parametric study is also performed to investigate the effects of geometry and material parameters.

关 键 词：Reddy＇s higher order beam theory Timoshenko beam theory composite beamsfree vibration and buckling Laplace transform 

分 类 号：O327[理学—一般力学与力学基础] TU375.1[理学—力学]