Determination of the Fundamental Frequency of Perforated Rectangular Plates : Concentrated Negative Mass Approach for the Perforation
Joint Authors
Singru, Pravin M.
Mali, Kiran D.
Source
Advances in Acoustics and Vibration
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-05-30
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
This paper is concerned with a vibration analysis of perforated rectangular plates with rectangular perforation pattern of circular holes.
The study is particularly useful in the understanding of the vibration of sound absorbing screens, head plates, end covers, or supports for tube bundles typically including tube sheets and support plates used in the mechanical devices.
An energy method is developed to obtain analytical frequencies of the perforated plates with clamped edge, support conditions.
Perforated plate is considered as plate with uniformly distributed mass.
Holes are considered as concentrated negative masses.
The analytical procedure using the Galerkin method is adopted.
The deflected surface of the plate is approximated by the cosine series which satisfies the boundary conditions.
Finite element method (FEM) results have been used to illustrate the validity of the analytical model.
The comparisons show that the analytical model predicts natural frequencies reasonably well for holes of small size.
American Psychological Association (APA)
Mali, Kiran D.& Singru, Pravin M.. 2013. Determination of the Fundamental Frequency of Perforated Rectangular Plates : Concentrated Negative Mass Approach for the Perforation. Advances in Acoustics and Vibration،Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-512543
Modern Language Association (MLA)
Mali, Kiran D.& Singru, Pravin M.. Determination of the Fundamental Frequency of Perforated Rectangular Plates : Concentrated Negative Mass Approach for the Perforation. Advances in Acoustics and Vibration No. 2013 (2013), pp.1-6.
https://search.emarefa.net/detail/BIM-512543
American Medical Association (AMA)
Mali, Kiran D.& Singru, Pravin M.. Determination of the Fundamental Frequency of Perforated Rectangular Plates : Concentrated Negative Mass Approach for the Perforation. Advances in Acoustics and Vibration. 2013. Vol. 2013, no. 2013, pp.1-6.
https://search.emarefa.net/detail/BIM-512543
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512543