Free vibrations and buckling analysis of laminated plates by oscillatory radial basis functions

AbstractIn this paper the free vibrations and buckling analysis of laminated plates is performed using a global meshless method. A refined version of Kant’s theorie which accounts for transverse normal stress and through-the-thickness deformation is used. The innovation is the use of oscillatory radial basis functions. Numerical examples are performed and results are presented and compared to available references. Such functions proved to be an alternative to the tradicional nonoscillatory radial basis functions.

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Radial basis functions collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to a variation of Murakami’s zig-zag theory

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2011.01.007 ◽

2011 ◽

Vol 30 (4) ◽

pp. 559-570 ◽

Cited By ~ 35

Author(s):

A.J.M. Ferreira ◽

C.M.C. Roque ◽

E. Carrera ◽

M. Cinefra ◽

O. Polit

Keyword(s):

Radial Basis Functions ◽

Buckling Analysis ◽

Laminated Plates ◽

Basis Functions ◽

Bending Vibration ◽

Radial Basis

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Radial basis functions–finite differences collocation and a Unified Formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami’s zig-zag theory

Composite Structures ◽

10.1016/j.compstruct.2011.01.009 ◽

2011 ◽

Vol 93 (7) ◽

pp. 1613-1620 ◽

Cited By ~ 80

Author(s):

J.D. Rodrigues ◽

C.M.C. Roque ◽

A.J.M. Ferreira ◽

E. Carrera ◽

M. Cinefra

Keyword(s):

Radial Basis Functions ◽

Finite Differences ◽

Buckling Analysis ◽

Laminated Plates ◽

Basis Functions ◽

Bending Vibration ◽

Radial Basis

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Buckling analysis of isotropic and laminated plates by radial basis functions according to a higher-order shear deformation theory

Thin-Walled Structures ◽

10.1016/j.tws.2011.02.005 ◽

2011 ◽

Vol 49 (7) ◽

pp. 804-811 ◽

Cited By ~ 55

Author(s):

A.J.M. Ferreira ◽

C.M.C. Roque ◽

A.M.A. Neves ◽

R.M.N. Jorge ◽

C.M.M. Soares ◽

...

Keyword(s):

Shear Deformation ◽

Radial Basis Functions ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Higher Order ◽

Buckling Analysis ◽

Laminated Plates ◽

Basis Functions ◽

Radial Basis

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Radial basis functions-differential quadrature collocation and a unified formulation for bending, vibration and buckling analysis of laminated plates, according to Murakami’s Zig-Zag theory

Computers & Structures ◽

10.1016/j.compstruc.2011.10.003 ◽

2012 ◽

Vol 90-91 ◽

pp. 107-115 ◽

Cited By ~ 23

Author(s):

J.D. Rodrigues ◽

C.M.C. Roque ◽

A.J.M. Ferreira ◽

M. Cinefra ◽

E. Carrera

Keyword(s):

Radial Basis Functions ◽

Buckling Analysis ◽

Laminated Plates ◽

Differential Quadrature ◽

Basis Functions ◽

Bending Vibration ◽

Radial Basis

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A leap-frog meshless method with radial basis functions for simulating electromagnetic wave splitter and rotator

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.06.010 ◽

2020 ◽

Vol 118 ◽

pp. 225-242

Author(s):

Bin He ◽

Jichun Li ◽

Meng Chen ◽

Yunqing Huang

Keyword(s):

Electromagnetic Wave ◽

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Radial Basis

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A meshless method for the numerical solution of nonlinear weakly singular integral equations using radial basis functions

The European Physical Journal Plus ◽

10.1140/epjp/i2017-11467-y ◽

2017 ◽

Vol 132 (5) ◽

Cited By ~ 21

Author(s):

Pouria Assari ◽

Mehdi Dehghan

Keyword(s):

Numerical Solution ◽

Integral Equations ◽

Radial Basis Functions ◽

Singular Integral ◽

Meshless Method ◽

Singular Integral Equations ◽

Basis Functions ◽

Weakly Singular ◽

Radial Basis ◽

Weakly Singular Integral Equations

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Research and application on meshless method of radial basis functions

2011 Second International Conference on Mechanic Automation and Control Engineering ◽

10.1109/mace.2011.5987475 ◽

2011 ◽

Author(s):

Qin Zhao ◽

Guoliang Bai ◽

Weifeng Song

Keyword(s):

Radial Basis Functions ◽

Meshless Method ◽

Basis Functions ◽

Radial Basis

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DIV-CURL WEIGHTED MINIMIZING SPLINES

Analysis and Applications ◽

10.1142/s0219530507000900 ◽

2007 ◽

Vol 05 (02) ◽

pp. 95-122 ◽

Cited By ~ 1

Author(s):

M. N. BENBOURHIM ◽

A. BOUHAMIDI

Keyword(s):

Vector Field ◽

Radial Basis Functions ◽

Thin Plate ◽

Approximation Problem ◽

Scattered Data ◽

Scalar Function ◽

Basis Functions ◽

Thin Plate Splines ◽

Numerical Examples ◽

Radial Basis

The paper deals with a div-curl approximation problem by weighted minimizing splines. The weighted minimizing splines are an extension of the well-known thin plate splines and are radial basis functions which allow the approximation or the interpolation of a scalar function from given scattered data. In this paper, we show that the theory of the weighted minimizing splines may also be used for the approximation or for the interpolation of a vector field controlled by the divergence and the curl of the vector field. Numerical examples are given to show the efficiency of this method.

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