A meshless method for free vibration analysis of circular and rectangular clamped plates using radial basis function

2004 ◽  
Vol 28 (5) ◽  
pp. 535-545 ◽  
Author(s):  
J.T. Chen ◽  
I.L. Chen ◽  
K.H. Chen ◽  
Y.T. Lee ◽  
Y.T. Yeh
Keyword(s):  
Free Vibration ◽  
Radial Basis Function ◽  
Basis Function ◽  
Meshless Method ◽  
Vibration Analysis ◽  
Free Vibration Analysis ◽  
Radial Basis

FREE VIBRATION ANALYSIS OF TIMOSHENKO BEAMS AND MINDLIN PLATES BY RADIAL BASIS FUNCTIONS

2005 ◽  
Vol 02 (01) ◽  
pp. 15-31 ◽  
Author(s):  
A. J. M. FERREIRA
Keyword(s):  
Free Vibration ◽  
Radial Basis Functions ◽  
Basis Function ◽  
Vibration Analysis ◽  
Function Method ◽  
Free Vibration Analysis ◽  
Basis Functions ◽  
Timoshenko Beams ◽  
Radial Basis ◽  
Radial Basis Function Method

A study of free vibration of Timoshenko beams and Mindlin plates is presented whereby the analysis is based on the radial basis function method. Various approaches for computing eigenvalues using radial basis functions are also discussed together with the numerical results for various thickness-to-length ratios.

scholarly journals Analysis of Laminated Shells by Murakami’s Zig-Zag Theory and Radial Basis Functions Collocation

2013 ◽  
Vol 2013 ◽  
pp. 1-14 ◽  
Author(s):  
D. A. Maturi ◽  
A. J. M. Ferreira ◽  
A. M. Zenkour ◽  
D. S. Mashat
Keyword(s):  
Free Vibration ◽  
Boundary Conditions ◽  
Radial Basis Functions ◽  
Vibration Analysis ◽  
Equations Of Motion ◽  
Free Vibration Analysis ◽  
Basis Functions ◽  
Transverse Displacement ◽  
Laminated Shells ◽  
Radial Basis

The static and free vibration analysis of laminated shells is performed by radial basis functions collocation, according to Murakami’s zig-zag (ZZ) function (MZZF) theory . The MZZF theory accounts for through-the-thickness deformation, by considering a ZZ evolution of the transverse displacement with the thickness coordinate. The equations of motion and the boundary conditions are obtained by Carrera’s Unified Formulation and further interpolated by collocation with radial basis functions.

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