Transverse Vibration of Clamped and Simply Supported Circular Plates with an Eccentric Circular Perforation and Attached Concentrated Mass

PDF
  • S.M Mirkhalaf Valashani*1,
  1. Department of Mechanical Engineering, Islamic Azad University, Arak Branch

Revised: 2009-02-25

Accepted: 2009-04-25

Published in Issue 2009-04-30

How to Cite

Mirkhalaf Valashani, S. (2009). Transverse Vibration of Clamped and Simply Supported Circular Plates with an Eccentric Circular Perforation and Attached Concentrated Mass. Journal of Solid Mechanics, 1(1), 37-44. https://oiccpress.com/jsm/article/view/12005

PDF views: 157

Abstract

In this investigation Rayleigh-Ritz variational method has been applied to determine the least natural frequency coefficient for the title problem. Classical plate theory assumptions have been used to calculate strain energy and kinetic energy. Coordinate functions are combination of polynomials which satisfy boundary conditions at the outer boundary and trigonometric terms. In the second part of this study ABAQUS software is used to compute vibration natural frequency for some special combinations of geometrical and mechanical parameters. Then results of Rayleigh-Ritz method have been obtained for the mentioned special cases. It can be seen that the agreement between them is acceptable.
PDF