Vol. 53 No. 01 (2003): Volume 53 Number 01, May 2003
Articles

Free Vibration Analysis of Circular, Annular, and Annular Sectoral Plates

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  • Nihal Eratlı
Nihal Eratlı
Department of Civil Engineering, Istanbul Technical University

Published 05/01/2003

Keywords

  • Sectoral element,
  • circular plate,
  • annular sectoral plate,
  • finite element,
  • free Vibration

How to Cite

Eratlı, Nihal. 2003. “Free Vibration Analysis of Circular, Annular, and Annular Sectoral Plates”. ITU ARI Bulletin of Istanbul Technical University 53 (01):29-43. https://ari.itu.edu.tr/index.php/ituari/article/view/18.

Copyright (c) 2003 ITU Press

Creative Commons License

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

Abstract

In this study, free Vibration analysis of circular, annular and annular sectoral thick plates is carried out by mixed finite element method based on the Gateaux diiferential. In free Vibration analysis, the problem reduces to the solution of a standard eigenvalue problem and the mixed element is based upon a consistent mass matrix formulation Bending and torsional moments7 transverse shear forces, rotations and displacements are the basic unknowns of the functional. Two dilferent sectoral elements are used with 3X8 degrees of freedom (SEC24) and 4X8 degrees of freedom (SEC32)i The accuracy of the SEC24 and SEC32 elements together is verified by applying the method to some problems taken from the literature.
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