Three-dimensional thermo-elastoplastic analysis of thick functionally graded plates using the meshless local Petrov–Galerkin method

2016 ◽  
Vol 71 ◽  
pp. 34-49 ◽  
Author(s):  
R. Vaghefi ◽  
M.R. Hematiyan ◽  
A. Nayebi
Keyword(s):  
Galerkin Method ◽  
Three Dimensional ◽  
Functionally Graded ◽  
Elastoplastic Analysis ◽  
Functionally Graded Plates

A comparison between the dynamic stability of three types of nonlinear orthotropic functionally graded plates under random lateral loads

2015 ◽  
Vol 23 (15) ◽  
pp. 2520-2537 ◽  
Author(s):  
A Asnafi ◽  
M Abedi
Keyword(s):  
Dynamic Stability ◽  
Three Dimensional ◽  
Mean Value ◽  
Functionally Graded ◽  
Kolmogorov Equation ◽  
Lateral Loads ◽  
Functionally Graded Plates ◽  
The Mean ◽  
Stochastic Loads ◽  
Stable Zone

In this manuscript, the dynamic stability and bifurcation occurrence for three famous types of plates including orthotropic sigmoid, power-law and exponential functionally graded plates under lateral stochastic loads are studied. Due to randomness, the behavior and analysis are not conventional deterministic investigation. So, the dynamic stability zone and border curves of bifurcation are evaluated using probability density function of the response. The latter is computed from a completely exact solution of the Fokker Planck Kolmogorov equation. The three dimensional dynamic stable zone and the border surfaces of bifurcation are obtained as a function of material parameter, in-plane forces and the mean value of lateral load. To generalize the results, all the parameters are transformed to some proper non-dimensional variables and then the effects of all prescribed parameters on the dynamic stability are completely discussed and compared. The comparison is done between the plates with themselves and also the corresponding homogenous plate. Finally the results are validated by the bifurcation diagrams of non dimensional deflection of plates that are obtained directly and numerically from the governing equations of plates.

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