FREE VIBRATION RESPONSE OF SHEAR-DEFORMABLE ANTISYMMETRIC CROSS-PLY CYLINDRICAL PANELS

A hitherto unavailable analytical solution to the boundary value problem of free vibration response of shear-flexible antisymmetric cross-ply laminated cylindrical panels is presented. The equivalent single layer approach based on a first order shear deformation theory including rotary and in-plane...

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Bibliographic Details
Published inJournal of sound and vibration Vol. 217; no. 4; pp. 601 - 618
Main Author Kabir, H.R.H.
Format Journal Article
LanguageEnglish
Published London Elsevier Ltd 05.11.1998
Elsevier
Subjects
Applied sciences
BOUNDARY VALUE PROBLEMS
COMPOSITE STRUCTURES
Composites
CURVED PANELS
CYLINDRICAL BODIES
Cylindrical panels
dynamic properties
DYNAMIC RESPONSE
Dynamic structural analysis
Exact sciences and technology
Forms of application and semi-finished materials
FREE VIBRATION
Fundamental areas of phenomenology (including applications)
LAMINATES
PARTIAL DIFFERENTIAL EQUATIONS
Physics
PLY ORIENTATION
Polymer industry, paints, wood
SHEAR STRAIN
Solid mechanics
Structural and continuum mechanics
Technology of polymers
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Vibrations and mechanical waves
Double series
Stratified material
Free vibration
Analytical method
Characteristic equation
Numerical method
Cylindrical shell
Fourier series
Composite material
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Summary:A hitherto unavailable analytical solution to the boundary value problem of free vibration response of shear-flexible antisymmetric cross-ply laminated cylindrical panels is presented. The equivalent single layer approach based on a first order shear deformation theory including rotary and in-plane inertias is incorporated into the shell formulation. The characteristic equations of the panel are defined by five highly coupled second and third order partial differential equations in five unknowns, i.e., three displacements, and two rotations. A recently developed solution methodology, based on a boundary-continuous double Fourier series approach, is utilized to solve the eigenvalue problem. Numerical results presented for various parametric effects such as length-to-thickness ratio, radius-to-thickness ratio, aspect ratio, and major-to-minor modulus ratio, etc., should serve as a bench mark for future comparison. A four-node shear-flexible finite element is selected to compare the results with the present solution.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0022-460X
1095-8568
DOI:10.1006/jsvi.1998.1722