Vibration analysis of nonhomogeneous moderately thick plates with point supports resting on Pasternak elastic foundation using element free Galerkin method

2013 ◽  
Vol 37 (10) ◽  
pp. 1212-1238 ◽  
Author(s):  
Ehsan Bahmyari ◽  
Mohammad Reza Khedmati
Keyword(s):  
Galerkin Method ◽  
Elastic Foundation ◽  
Vibration Analysis ◽  
Element Free Galerkin Method ◽  
Thick Plates ◽  
Element Free Galerkin ◽  
Pasternak Elastic Foundation ◽  
Moderately Thick Plates ◽  
Element Free

scholarly journals Behavior of beam on elastic foundation using element free Galerkin method

2021 ◽  
Vol 12 (4) ◽  
pp. 14-22
Author(s):  
H.T.T. Lan
Keyword(s):  
Galerkin Method ◽  
Elastic Foundation ◽  
Least Square ◽  
Element Free Galerkin Method ◽  
Moving Least Square ◽  
Beam On Elastic Foundation ◽  
Element Free Galerkin ◽  
Mesh Free ◽  
System Equations ◽  
Element Free

One of mesh free methods, element free Galerkin method, is presented to analyze the finite beam on elastic foundation. The shape functions are constructed by using the moving least square interpolation based on a set of nodes that are arbitrarily distributed in specified domain. Discrete system equations are derived from the variation form of system equations. Numerical examples of finite beam on elastic foundation are given by establishing Matlab code. The results of this paper demonstrate the effectiveness of the proposed method with small errors compared to analytical solutions. Keywords: mesh free method, element free Galerkin method, moving least square, finite beam, elastic foundation.

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