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Nonlinear Vibrations of 3D Laminated Composite Beams
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-24
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A model for 3D laminated composite beams, that is, beams that can vibrate in space and experience longitudinal and torsional deformations, is derived.
The model is based on Timoshenko’s theory for bending and assumes that, under torsion, the cross section rotates as a rigid body but can deform longitudinally due to warping.
The warping function, which is essential for correct torsional deformations, is computed preliminarily by the finite element method.
Geometrical nonlinearity is taken into account by considering Green’s strain tensor.
The equation of motion is derived by the principle of virtual work and discretized by the p-version finite element method.
The laminates are assumed to be of orthotropic materials.
The influence of the angle of orientation of the laminates on the natural frequencies and on the nonlinear modes of vibration is presented.
It is shown that, due to asymmetric laminates, there exist bending-longitudinal and bending-torsional coupling in linear analysis.
Dynamic responses in time domain are presented and couplings between transverse displacements and torsion are investigated.
American Psychological Association (APA)
Stoykov, S.& Margenov, S.. 2014. Nonlinear Vibrations of 3D Laminated Composite Beams. Mathematical Problems in Engineering،Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-505953
Modern Language Association (MLA)
Stoykov, S.& Margenov, S.. Nonlinear Vibrations of 3D Laminated Composite Beams. Mathematical Problems in Engineering No. 2014 (2014), pp.1-14.
https://search.emarefa.net/detail/BIM-505953
American Medical Association (AMA)
Stoykov, S.& Margenov, S.. Nonlinear Vibrations of 3D Laminated Composite Beams. Mathematical Problems in Engineering. 2014. Vol. 2014, no. 2014, pp.1-14.
https://search.emarefa.net/detail/BIM-505953
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-505953