A nth-Order Shear Deformation Theory for the Free Vibration Analysis of the Isotropic Plates on Elastic Foundations

Feng Wang; Song Xiang

doi:10.4028/www.scientific.net/AMR.1033-1034.860

Paper Titles

Influence of Heat Input on Grain Size in the Structure of 316LN Stainless Steel Welded Joints
p.834

Nb-W Alloy Prepared by Mechanical Alloying and Optimal Design of Corresponding Milling Variables
p.839

First Principles Calculation of LaNi₃ Type Hydrogen Storage Alloy Mg Atoms Occupying
p.849

A Meshless Local Collocation Method for Natural Frequencies and Mode Shapes of Functionally Graded Plates
p.855

A nth-Order Shear Deformation Theory for the Free Vibration Analysis of the Isotropic Plates on Elastic Foundations
p.860

Ablation Behaviors of 3D Fine Woven Pierced Carbon/Carbon Composites
p.864

Crystallization Behavior and Mechanical Properties of PP/EVA Blends
p.869

Effect of Graphite Content on Corrosion Resistance of Zirconia Graphite Materials
p.873

Effect of Ground Quartz Sand and Ground Granulated Blast-Furnace Slag on Properties of High-Strength Concrete in the Steam and Autoclaved Curing
p.878

HomeAdvanced Materials ResearchAdvanced Materials Research Vols. 1033-1034A nth-Order Shear Deformation Theory for the Free...

A nth-Order Shear Deformation Theory for the Free Vibration Analysis of the Isotropic Plates on Elastic Foundations

Abstract:

A nth-order shear deformation theory for free vibration of the isotropic plates resting on a two-parameter Pasternak foundations is developed. The present theory does not require shear correction factor, and satisfies the zero transverse shear stress boundary conditions on the top and bottom surface of the plate. Governing equations are derived from the principle of virtual displacements. Meshless global collocation method based on the thin plate spline radial basis function is used to solve the governing differential equations. The accuracy of the present theory is demonstrated by comparing the present results with available published results.

You might also be interested in these eBooks

Advances in Chemical Engineering and Advanced Materials IV

View Preview

Info:

Periodical:

Advanced Materials Research (Volumes 1033-1034)

Pages:

860-863

DOI:

https://doi.org/10.4028/www.scientific.net/AMR.1033-1034.860

Citation:

Cite this paper

Online since:

October 2014

Authors:

Feng Wang*, Song Xiang

Keywords:

Free Vibration, Isotropic Plates, Nth-Order Shear Deformation Theory, Pasternak Foundations, Radial Basis Function, Thin Plate Spline

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

Citation:

* - Corresponding Author

References

[1] P.L. Pasternak: On a new method of analysis of an elastic foundation by means of two foundation constants. Gosudarstvennoe Izdatelstvo Literaturi po Stroitelstvu I Arkhitekture, Moscow, USSR; 1: 1–56 (in Russian). (1954).

Google Scholar

[2] E. Winkler: Die Lehre von der Elasticitaet und Festigkeit. Prag Dominicus. (1867).

Google Scholar

[3] A.J.M. Ferreira, C.M.C. Roque, A.M.A. Neves, R.M.N. Jorge and C.M.M. Soares: Analysis of plates on Pasternak foundations by radial basis functions. Comput Mech Vol. 46 (2010), p.791.

DOI: 10.1007/s00466-010-0518-9

Google Scholar

[4] A.J.M. Ferreira, L.M.S. Castro and S. Bertoluzza: Analysis of plates on Winkler foundation by wavelet collocation. Meccanica Vol. 46 (2011), p.865.

DOI: 10.1007/s11012-010-9341-9

Google Scholar

[5] A.M. Zenkour: The refined sinusoidal theory for FGM plates on elastic foundations. International Journal of Mechanical Sciences Vol. 51 (2009), p.869.

DOI: 10.1016/j.ijmecsci.2009.09.026

Google Scholar

[6] A.H. Baferani, A.R. Saidi and H. Ehteshami: Accurate solution for free vibration analysis of functionally graded thick rectangular plates resting on elastic foundation. Composite Structures Vol. 93 (2011), p.1842.

DOI: 10.1016/j.compstruct.2011.01.020

Google Scholar

[7] H.T. Thai and D.H. Choi: A refined shear deformation theory for free vibration of functionally graded plates on elastic foundation. Composites: Part B Vol. 43 (2012), p.2335.

DOI: 10.1016/j.compositesb.2011.11.062

Google Scholar