Shape Parameter Optimization of Inverse Multiquadrics Radial Basis Function for Vibration of Laminated Composite Plates

Ying Tao Chen; Song Xiang; Wei Ping Zhao

doi:10.4028/www.scientific.net/AMR.1082.433

Paper Titles

Comparison of Bond Strength of Silicon-Silica and Silicon-Pyrex in Wafer Bonding
p.416

Anodic Bonding of Silicon-Pyrex and Silicon-Soda Lime Glass at Room Temperature
p.420

Study on Viscosity Evaluation of Foamed Epoxy Asphalt
p.424

Vibration of Laminated Composite Plates by Generalized Multiquadrics with Optimal Shape Parameter and Exponent
p.429

Shape Parameter Optimization of Inverse Multiquadrics Radial Basis Function for Vibration of Laminated Composite Plates
p.433

Silicon Doped Boron and Glass Based Surface Bonding Strength Analysis via Anodic Bonding Approach
p.437

Failure Analysis and Precaution of NPN Transistors G3G33A
p.441

Effect of the La³⁺-Doping Concentration on the Properties of TiO₂ Thin Films by Sol-Gel Process
p.451

The Nano Tungsten Thin Film and its Contacting Property with Aluminium Electrodes
p.455

HomeAdvanced Materials ResearchAdvanced Materials Research Vol. 1082Shape Parameter Optimization of Inverse...

Shape Parameter Optimization of Inverse Multiquadrics Radial Basis Function for Vibration of Laminated Composite Plates

Abstract:

Free vibration of simply laminated composite plates is studied by the global collocation method based on inverse multiquadrics radial basis function. The choice of shape parameter of radial basis function has the important effect on the accuracy of meshless radial basis function collocation method. Genetic algorithm is used to optimize the shape parameter of inverse multiquadrics radial basis function. The natural frequencies of simply supported laminated composite plates are calculated using the inverse multiquadrics radial basis function with optimal shape parameter and compared with the analytical solutions.

You might also be interested in these eBooks

Advanced Materials and Engineering Materials IV

View Preview

Info:

Periodical:

Advanced Materials Research (Volume 1082)

Pages:

433-436

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1082.433

Citation:

Cite this paper

Online since:

December 2014

Authors:

Ying Tao Chen*, Song Xiang, Wei Ping Zhao

Keywords:

Genetic Algorithm (GA), Inverse Multiquadrics Radial Basis Function, Laminated Composite Plates, Shape Parameter, Vibration

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] A.J.M. Ferreira, C.M.C. Roque, P.A.L.S. Martins, Analysis of composite plates using higher-order shear deformation theory and a finite point formulation based on the multiquadric radial basis function method, Compos: Part B. 34 (2003) 627–636.

DOI: 10.1016/s1359-8368(03)00083-0

Google Scholar

[2] A.J.M. Ferreira, C.M.C. Roque, P.A.L.S. Martins, Radial basis functions and higher order theories in the analysis of laminated composite beams and plates, Compos Struct. 66 (2004) 287–293.

DOI: 10.1016/j.compstruct.2004.04.050

Google Scholar

[3] A.J.M. Ferreira, C.M.C. Roque, R.M.N. Jorge, Analysis of composite plates by trigonometric shear deformation theory and multiquadrics, Computers and Structures. 83 (2005) 2225–2237.

DOI: 10.1016/j.compstruc.2005.04.002

Google Scholar

[4] A.J.M. Ferreira, C.M.C. Roque, R.M.N. Jorge, Free vibration analysis of symmetric laminated composite plates by FSDT and radial basis functions, Comput Methods Appl Mech Engrg. 194 (2005) 4265–4278.

DOI: 10.1016/j.cma.2004.11.004

Google Scholar

[5] S. Xiang, K.M. Wang, Free vibration analysis of symmetric laminated composite plates by trigonometric shear deformation theory and inverse multiquadric RBF, Thin-Walled Structures. 47 (2009) 304–310.

DOI: 10.1016/j.tws.2008.07.007

Google Scholar

[6] S. Xiang, K.M. Wang, Y.T. Ai, Y.D. Sha, H. Shi, Natural frequencies of generally laminated composite plates using the Gaussian radial basis function and first-order shear deformation theory, Thin-Walled Structures. 47 (2009) 1265-1271.

DOI: 10.1016/j.tws.2009.04.002

Google Scholar

[7] S. Xiang, K.M. Wang, Y.T. Ai, Y.D. Sha, H. Shi, Analysis of isotropic, sandwich and laminated plates by a meshless method and various shear deformation theories, Composite Structures. 91 (2009) 31-37.

DOI: 10.1016/j.compstruct.2009.04.029

Google Scholar

[8] J.N. Reddy, Mechanics of Laminated Composite Plates Theory and Analysis, CRC Press, Boca Raton, (1997).

Google Scholar