Free vibration of layered magneto-electro-elastic beams by SS-DSC approach

2015 ◽  
Vol 125 ◽  
pp. 96-103 ◽  
Author(s):  
Libo Xin ◽  
Zhendong Hu
Keyword(s):  
Free Vibration ◽  
Elastic Beams

The effects of shear deformation on the free vibration of elastic beams with general boundary conditions

2009 ◽  
Vol 224 (1) ◽  
pp. 71-84 ◽  
Author(s):  
J Li ◽  
H Hua
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Shear Deformation ◽  
Dynamic Stiffness ◽  
Beam Theory ◽  
Mode Shapes ◽  
Governing Equations ◽  
One Dimensional ◽  
Elastic Beams ◽  
Shear Deformable

Free vibration characteristics of shear deformable elastic beams subjected to different sets of boundary conditions are investigated. The analysis is based on a unified one-dimensional shear deformation beam theory. The governing equations of the elastic beams are obtained by means of Hamilton's principle. Four different boundary conditions are considered. The natural frequencies and mode shapes are obtained by applying the dynamic stiffness method, where the elements of the exact dynamic stiffness matrix are derived by using the analytical solutions of the governing equations of the beam in free vibration. The numerical results for the particular beams with different slenderness ratios are presented and compared with those available in the literature.

Surface effects on the bending, buckling and free vibration analysis of magneto-electro-elastic beams

2016 ◽  
Vol 227 (6) ◽  
pp. 1557-1573 ◽  
Author(s):  
Xiao-Jian Xu ◽  
Zi-Chen Deng ◽  
Kai Zhang ◽  
Jun-Miao Meng
Keyword(s):  
Free Vibration ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Surface Effects ◽  
Elastic Beams

The influence of internal structure on wave propagation in elastic beams under impact loading

2000 ◽  
Vol 10 (PR9) ◽  
pp. Pr9-475-Pr9-480
Author(s):  
E. I. Prockuratova ◽  
C. Gearhar
Keyword(s):  
Wave Propagation ◽  
Internal Structure ◽  
Impact Loading ◽  
Elastic Beams
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