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Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading
Joint Authors
Rossit, Carlos A.
Bambill, Diana V.
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-19
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
As it is known, the problems of free transverse vibrations and instability under in-plane loads of a plate are two different technological situations that have similarities in their approach to elastic solution.
In fact, they are two eigenvalue problems in which we analyze the equilibrium situation of the plate in configurations which differ very slightly from the original, undeformed configuration.
They are coupled in the event where in-plane forces are applied to the edges of the transversely vibrating plate.
The presence of forces can have a significant effect on structural and mechanical performance and should be taken into account in the formulation of the dynamic problem.
In this study, distributed forces of linear variation are considered and their influence on the natural frequencies and corresponding normal modes of transverse vibration is analyzed.
It also analyzes their impact for the case of vibration control.
The forces' magnitude is varied and the first natural frequencies of transverse vibration of rectangular thin plates with different combinations of edge conditions are obtained.
The critical values of the forces which cause instability are also obtained.
Due to the analytical complexity of the problem under study, the Ritz method is employed.
Some numerical examples are presented.
American Psychological Association (APA)
Bambill, Diana V.& Rossit, Carlos A.. 2013. Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading. Journal of Engineering،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-509680
Modern Language Association (MLA)
Bambill, Diana V.& Rossit, Carlos A.. Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading. Journal of Engineering No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-509680
American Medical Association (AMA)
Bambill, Diana V.& Rossit, Carlos A.. Coupling between Transverse Vibrations and Instability Phenomena of Plates Subjected to In-Plane Loading. Journal of Engineering. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-509680
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-509680