Simulation of plane elastostatic equations of anisotropic functionally graded materials by integrated radial basis function based on finite difference approach

2022 ◽  
Vol 134 ◽  
pp. 553-570
Author(s):  
Ali Ebrahimijahan ◽  
Mehdi Dehghan ◽  
Mostafa Abbaszadeh
Keyword(s):  
Finite Difference ◽  
Radial Basis Function ◽  
Functionally Graded Materials ◽  
Basis Function ◽  
Functionally Graded ◽  
Graded Materials ◽  
Radial Basis ◽  
Finite Difference Approach

Radial Basis Function-Based Stochastic Natural Frequencies Analysis of Functionally Graded Plates

2019 ◽  
Vol 17 (09) ◽  
pp. 1950061 ◽  
Author(s):  
P. K. Karsh ◽  
R. R. Kumar ◽  
S. Dey
Keyword(s):  
Radial Basis Function ◽  
Power Law ◽  
Basis Function ◽  
Natural Frequencies ◽  
Functionally Graded ◽  
Direct Monte Carlo Simulation ◽  
Distribution Law ◽  
Stochastic Variation ◽  
Graded Materials ◽  
Radial Basis

This paper deals with portraying the stochastic natural frequencies of cantilever plates made up of functionally graded materials (FGMs) by employing the radial basis function (RBF)-based finite element (FE) approach. The material modeling of FGM plates is carried out by employing three different distribution laws, namely power law, sigmoid law, and exponential law. A generalized algorithm is developed for uncertainty quantification of natural frequencies of the FGM structures due to stochastic variation in the material properties and temperature. The deterministic FE code is validated with the previous literature, whereas convergence study is carried out in between stochastic results obtained from full scale direct Monte Carlo Simulation (MCS) and MCS results obtained from RBF surrogate model of different sample sizes. The percentage of error present in the RBF model is also determined. The influence of crucial parameters such as distribution law, degree of stochasticity, power law index and temperature are determined for natural frequencies analysis of FGMs plates. The results illustrate the input parameters considered in the present study have significant effects on the first three stochastic natural frequencies of cantilever FGM plates.

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