Analysis of Free Vibration Sector Plate Based on Elastic Medium by using New Version of Differential Quadrature Method

Authors

  • A. Farajpour M.Sc. Student, Isfahan University of Technology
  • M. Ghayour Associate Professor, Isfahan University of Technology
  • M. Mohammadi M.Sc. Student, Isfahan University of Technology
Abstract:

The new version of differential quadrature (DQ) method is extended to analyze the free vibration of thin sector orthotropic plates on the Pasternak elastic foundation with various sector angles and elastic parameters. Detailed formulations are given. Comparisons are made with existing analytical and/or numerical data. Numerical results indicate that convergence can be achieved with increasing in number of grid points. The accurate results could be obtained with 9x9 or even higher grid. It is found that the results are influenced by grid spacing and for obtaining the accurate and reliable result non-uniform grid should be used.

Upgrade to premium to download articles

Sign up to access the full text

Already have an account?login

similar resources

Vibration of cracked plate using differential quadrature method and experimental modal analysis

In this study, the vibration of cracked plates is investigated using the differential quadrature method and experimental modal analysis. The crack, which is assumed to be open, is modeled by the extended rotational spring. With its finite length, the crack divides the plate into six segments. Then, the differential quadrature is applied to the governing differential equations of motion and the ...

full text

Free vibration analysis of thin annular plates integrated with piezoelectric layers using differential quadrature method

In this article, using generalized differential quadrature (GDQ) methods, free vibration of a thin annular plate coupled with two open circuit piezoelectric layers, is numerically studied based on the classical plate theory. The governing differential equations with respective boundary conditions are derived and transformed into a set of algebraic equations by implementing the GDQ rule, then so...

full text

Free Vibration Analysis of 2D Functionally Graded Annular Plate considering the Effect of Material Composition via 2D Differential Quadrature Method

This study investigates the free vibration of the Two-Dimensional Functionally Graded Annular Plates (2D-FGAP). The theoretical formulations are based on the three-dimensional elasticity theory with small strain assumption. The Two-Dimensional Generalized Differential Quadrature Method (2D-GDQM) as an efficient and accurate semi-analytical approach is used to discretize the equations of motion ...

full text

Generalized Differential Quadrature Method for Vibration Analysis of Cantilever Trapezoidal FG Thick Plate

This paper presents a numerical solution for vibration analysis of a cantilever trapezoidal thick plate. The material of the plate is considered to be graded through the thickness from a metal surface to a ceramic one according to a power law function. Kinetic and strain energies are derived based on the Reissner-Mindlin theory for thick plates and using Hamilton's principle, the governing equa...

full text

vibration of cracked plate using differential quadrature method and experimental modal analysis

in this study, the vibration of cracked plates is investigated using the differential quadrature method and experimental modal analysis. the crack, which is assumed to be open, is modeled by the extended rotational spring. with its finite length, the crack divides the plate into six segments. then, the differential quadrature is applied to the governing differential equations of motion and the ...

full text

Free vibration analysis of functionally graded rectangular plates via differential quadrature method

In this study, free vibration of functionally graded rectangular plates for various types of boundary conditions has been presented . The properties of the plate are assumed as power- law form along the thickness direction , while poisson's ratio is kept constant. the linear vibration equations of functionally graded rectangular plates are derived based on first order shear deformation theory b...

full text

My Resources

Save resource for easier access later

Save to my library Already added to my library

{@ msg_add @}


Journal title

volume 3  issue 2

pages  47- 56

publication date 2010-12-22

By following a journal you will be notified via email when a new issue of this journal is published.

Hosted on Doprax cloud platform doprax.com

copyright © 2015-2023