Thin plate spline radial basis functions for vibration analysis of clamped laminated composite plates

2010 ◽  
Vol 29 (5) ◽  
pp. 844-850 ◽  
Author(s):  
Song Xiang ◽  
Hong Shi ◽  
Ke-ming Wang ◽  
Yan-ting Ai ◽  
Yun-dong Sha
Keyword(s):  
Radial Basis Functions ◽  
Thin Plate ◽  
Vibration Analysis ◽  
Laminated Composite ◽  
Composite Plates ◽  
Basis Functions ◽  
Thin Plate Spline ◽  
Laminated Composite Plates ◽  
Radial Basis

COMPARATIVE STUDY OF THE MULTIQUADRIC AND THIN-PLATE SPLINE RADIAL BASIS FUNCTIONS FOR THE TRANSIENT-CONVECTIVE DIFFUSION PROBLEMS

2006 ◽  
Vol 17 (08) ◽  
pp. 1151-1169 ◽  
Author(s):  
A. DURMUS ◽  
I. BOZTOSUN ◽  
F. YASUK
Keyword(s):  
Radial Basis Functions ◽  
Thin Plate ◽  
Numerical Solutions ◽  
Convective Diffusion ◽  
Finite Difference Methods ◽  
Basis Functions ◽  
Thin Plate Spline ◽  
Collocation Methods ◽  
Radial Basis ◽  
Diffusion Problems

The numerical solutions of the unsteady transient-convective diffusion problems are investigated by using multiquadric (MQ) and thin-plate spline (TPS) radial basis functions (RBFs) based on mesh-free collocation methods with global basis functions. The results of radial basis functions are compared with the mesh-dependent boundary element and finite difference methods as well as the analytical solution for high Péclet numbers. It is reported that for low Péclet numbers, MQ-RBF provides excellent agreement, while for high Péclet numbers, TPS-RBF is better than MQ-RBF.

scholarly journals Static and Free Vibration Analysis of Laminated Composite Plates Using Isogeometric Approach Based on the Third Order Shear Deformation Theory

2014 ◽  
Vol 6 ◽  
pp. 232019 ◽  
Author(s):  
Xinkang Li ◽  
Jifa Zhang ◽  
Yao Zheng
Keyword(s):  
Vibration Analysis ◽  
Deformation Theory ◽  
Shear Deformation Theory ◽  
Laminated Composite ◽  
Free Vibration Analysis ◽  
Composite Plates ◽  
Basis Functions ◽  
Laminated Composite Plates ◽  
Third Order ◽  
The Third

Isogeometric analysis (IGA) based on nonuniform rational B-splines (NURBS) is applied for static and free vibration analysis of laminated composite plates by using the third order shear deformation theory (TSDT). TSDT requires C1-continuity of generalized displacements and NURBS basis functions are well-suited for this requirement. Due to the noninterpolatory nature of NURBS basis functions, a penalty method is applied to enforce the essential boundary conditions. The validity and accuracy of the present method are demonstrated through a series of numerical examples of isotropic and laminated composite plates with different shapes, boundary conditions, fiber orientations, lay-up numbers, and so forth. The obtained numerical results are compared with either the analytical solutions or other available numerical methods.

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