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Vibration of Square Plates Containing Eccentric Holes FREE

[+] Author Affiliations
A. B. Sabir, G. T. Davies

University of Wales, Cardiff, Cardiff, UK

Paper No. 97-AA-097, pp. V001T13A073; 8 pages
doi:10.1115/97-AA-097
From:
  • ASME 1997 Turbo Asia Conference
  • ASME 1997 Turbo Asia Conference
  • Singapore, September 30–October 2, 1997
  • Conference Sponsors: International Gas Turbine Institute
  • ISBN: 978-0-7918-7867-5
  • Copyright © 1997 by ASME

abstract

The natural frequencies of square plates containing circular holes is investigated using the finite element method. The holes are eccentrically located, and the effect of this eccentricity on the natural frequency is examined when the plates are subjected to a variety of inplane loads.

The natural frequencies are calculated by using the 12 degree of freedom non conforming rectangular and the 9 degree of freedom non conforming triangular bending elements. To determine the inplane stress distribution, strain based inplane elements are used. The displacement fields for these elements are based on assumed strain functions which satisfy the exact requirement of rigid body motion.

In the present paper, the lowest natural frequencies and the corresponding modes of vibration are determined for simply supported or clamped plates containing circular holes. Initially the plate is unloaded at the middle surface, and the effect of the degree of eccentricity on the natural frequency is examined. Result are also given for plates subjected to uniform uniaxial and biaxial compression.

For plates loaded by inplane uniformly distributed shear, tension and compression regions are produced. Hence for these plates, the natural frequencies are determined when the circular holes are located either in the tension or compression zones.

Copyright © 1997 by ASME
This article is only available in the PDF format.

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