A meshless collocation method based on radial basis functions for free and forced vibration analysis of functionally graded plates using FSDT

2021 ◽  
Vol 125 ◽  
pp. 168-177
Author(s):  
Shahram Hosseini ◽  
Gholamhossein Rahimi ◽  
Yavar Anani
Keyword(s):  
Collocation Method ◽  
Radial Basis Functions ◽  
Forced Vibration ◽  
Vibration Analysis ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Radial Basis ◽  
Meshless Collocation ◽  
Forced Vibration Analysis

Dynamic Analysis of Functionally Graded Plates and Shells by Radial Basis Functions

2010 ◽  
Vol 17 (8) ◽  
pp. 636-652 ◽  
Author(s):  
Carla M. C. Roque ◽  
António J. M. Ferreira ◽  
Ana M. A. Neves ◽  
Greg E. Fasshauer ◽  
Cristóvão M. M. Soares ◽  
...  
Keyword(s):  
Dynamic Analysis ◽  
Radial Basis Functions ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Radial Basis ◽  
Plates And Shells

Generalized Multiquadrics with Optimal Shape Parameter and Exponent for Deflection and Stress of Functionally Graded Plates

2014 ◽  
Vol 709 ◽  
pp. 121-124 ◽  
Author(s):  
Ying Tao Chen ◽  
Song Xiang ◽  
Wei Ping Zhao
Keyword(s):  
Genetic Algorithm ◽  
Radial Basis Function ◽  
Collocation Method ◽  
Basis Function ◽  
Shape Parameter ◽  
Optimal Shape ◽  
Functionally Graded ◽  
Functionally Graded Plates ◽  
Radial Basis ◽  
Meshless Collocation

Deflection and stress of simply functionally graded plates are calculated by the meshless collocation method based on generalized multiquadrics radial basis function. The generalized multiquadric radial basis function has the shape parameter c and exponent which have the important effect in the accuracy of the approximation. The deflection and stress of simply functionally graded plates are calculated using the generalized multiquadrics with optimal shape parameter and exponent which is optimized by the genetic algorithm.

Surrogate based optimization of functionally graded plates using radial basis functions

2020 ◽  
Vol 252 ◽  
pp. 112677
Author(s):  
Leonardo Gonçalves Ribeiro ◽  
Marina Alves Maia ◽  
Evandro Parente Jr. ◽  
Antônio Macário Cartaxo de Melo
Keyword(s):  
Radial Basis Functions ◽  
Functionally Graded ◽  
Basis Functions ◽  
Functionally Graded Plates ◽  
Surrogate Based Optimization ◽  
Radial Basis
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