Free vibration analysis of plates by using a four-node finite element formulated with assumed natural transverse shear strain

2004 ◽  
Vol 278 (3) ◽  
pp. 657-684 ◽  
Author(s):  
S.J. Lee
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Shear Strain ◽  
Transverse Shear ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Transverse Shear Strain ◽  
Natural Transverse

scholarly journals Flexural and Free Vibration Analysis of CNT-Reinforced Functionally Graded Plate

Materials ◽  
2018 ◽  
Vol 11 (12) ◽  
pp. 2387 ◽  
Author(s):  
Md Ansari ◽  
Ajay Kumar ◽  
Stanisław Fic ◽  
Danuta Barnat-Hunek
Keyword(s):  
Finite Element ◽  
Free Vibration ◽  
Vibration Analysis ◽  
Volume Fraction ◽  
Free Vibration Analysis ◽  
Functionally Graded ◽  
Transverse Shear Strain ◽  
Finite Element Code ◽  
Functionally Graded Plate ◽  
Distribution Boundary

This paper examines the effect of uniaxially aligned carbon nanotube (CNT) on flexural and free vibration analysis of CNT-reinforced functionally graded plate. The mathematical model includes expansion of Taylor’s series up to the third degree in the thickness co-ordinate. Since there is a parabolic variation in transverse shear strain deformation across the thickness co-ordinate, the shear correction factor is not necessary. A nine-node two-dimensional (2D) C0 isoparametric element containing seven nodal unknowns per node was developed in the finite element code. The final material properties of CNT-reinforced functionally graded plate are estimated using the extended rule of mixture. The effect of CNT distribution, boundary condition, volume fraction and loading pattern are studied by developing a finite element code. An additional finite element code was developed for the study of the influence of concentrated mass on free vibration analysis of CNT-reinforced functionally graded plate.

Sign in / Sign up

Export Citation Format

Share Document