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Analytical Expressions for Frequency and Buckling of Large Amplitude Vibration of Multilayered Composite Beams
Joint Authors
Kargarnovin, M. H.
Jafari-Talookolaei, R. A.
Abedi, M.
Ahmadian, M. T.
Source
Advances in Acoustics and Vibration
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-08-16
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The aim of this paper is to present analytical and exact expressions for the frequency and buckling of large amplitude vibration of the symmetrical laminated composite beam (LCB) with simple and clamped end conditions.
The equations of motion are derived by using Hamilton's principle.
The influences of axial force, Poisson effect, shear deformation, and rotary inertia are taken into account in the formulation.
First, the geometric nonlinearity based on the von Karman's assumptions is incorporated in the formulation while retaining the linear behavior for the material.
Then, the displacement fields used for the analysis are coupled using the equilibrium equations of the composite beam.
Substituting this coupled displacement fields in the potential and kinetic energies and using harmonic balance method, we obtain the ordinary differential equation in time domain.
Finally, applying first order of homotopy analysis method (HAM), we get the closed form solutions for the natural frequency and deflection of the LCB.
A detailed numerical study is carried out to highlight the influences of amplitude of vibration, shear deformation and rotary inertia, slenderness ratios, and layup in the case of laminates on the natural frequency and buckling load.
American Psychological Association (APA)
Jafari-Talookolaei, R. A.& Kargarnovin, M. H.& Ahmadian, M. T.& Abedi, M.. 2011. Analytical Expressions for Frequency and Buckling of Large Amplitude Vibration of Multilayered Composite Beams. Advances in Acoustics and Vibration،Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-469686
Modern Language Association (MLA)
Jafari-Talookolaei, R. A.…[et al.]. Analytical Expressions for Frequency and Buckling of Large Amplitude Vibration of Multilayered Composite Beams. Advances in Acoustics and Vibration No. 2011 (2011), pp.1-9.
https://search.emarefa.net/detail/BIM-469686
American Medical Association (AMA)
Jafari-Talookolaei, R. A.& Kargarnovin, M. H.& Ahmadian, M. T.& Abedi, M.. Analytical Expressions for Frequency and Buckling of Large Amplitude Vibration of Multilayered Composite Beams. Advances in Acoustics and Vibration. 2011. Vol. 2011, no. 2011, pp.1-9.
https://search.emarefa.net/detail/BIM-469686
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-469686