Free vibration analysis of rectangular plates with central cutout
Open Access
- 28 March 2016
- journal article
- Published by Taylor & Francis Ltd in Cogent Engineering
Abstract
A nine-node isoparametric plate element in conjunction with first-order shear deformation theory is used for free vibration analysis of rectangular plates with central cutouts. Both thick and thin plate problems are solved for various aspect ratios and boundary conditions. In this article, primary focus is given to the effect of rotary inertia on natural frequencies of perforated rectangular plates. It is found that rotary inertia has significant effect on thick plates, while for thin plates the rotary inertia term can be ignored. It is seen that the numerical convergence is very rapid and based on comparison with experimental and analytical data from literature, it is proposed that the present formulation is capable of yielding highly accurate results. Finally, some new numerical solutions are provided here, which may serve as benchmark for future research on similar problems.Keywords
This publication has 29 references indexed in Scilit:
- Determination of the Fundamental Frequency of Perforated Rectangular Plates: Concentrated Negative Mass Approach for the PerforationAdvances in Acoustics and Vibration, 2013
- Free and forced flexural vibration analysis of cantilever plates with attached point massJournal of Sound and Vibration, 2009
- Vibration of plates with arbitrary shapes of cutoutsJournal of Sound and Vibration, 2007
- Analysis of the free vibration of rectangular plates with central cut-outs using the discrete Ritz methodInternational Journal of Mechanical Sciences, 2003
- Transverse vibration of thick rectangular plates—I. Comprehensive sets of boundary conditionsComputers & Structures, 1993
- Prediction of natural frequencies of rectangular plates with rectangular cutoutsComputers & Structures, 1990
- LITERATURE REVIEW: survey and analysis of the Shock and Vibration literature: Recent Studies in Plate Vibrations: 1981-85 Part I. Classical TheoryThe Shock and Vibration Digest, 1987
- A review and catalogue of plate bending finite elementsComputers & Structures, 1984
- Recent Research in Plate Vibrations. 1973 - 1976: Complicating EffectsThe Shock and Vibration Digest, 1978
- Determination of dynamic characteristics of rectangular plates with cutouts using a finite difference formulationJournal of Sound and Vibration, 1976