Flexural vibrations of composite orthotropic annular plates with edge-damage

• Published in: Journal of sound and vibration Vol. 284; no. 3; pp. 1165 - 1179
• Main Authors: Greenberg, J.B., Lavan, O.
• Format: Journal Article
• Language: English
• Published: London Elsevier Ltd 21.06.2005; Elsevier
• Subjects: Exact sciences and technology; Fundamental areas of phenomenology (including applications); Physics; Solid mechanics; Structural and continuum mechanics; Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...); Annular plate; Stratified material; Free vibration; Orthotropic plate; Vibrational mode; Modeling; Composite material; Bending vibration; Damaging; Orthotropic material; Finite difference method
• ISSN: 0022-460X; 1095-8568
• DOI: 10.1016/j.jsv.2004.08.023

The free vibrational response of clamped homogeneous or symmetrically laminated orthotropic annular plates with edge damage on the outer circumference has been studied for the first time, using the finite difference method. The edge damage is modeled via the application of a non-uniform boundary condition. The sensitivity of vibrational frequencies to the extent of the edge damage is investigated and shown to be strongly influenced by the material properties and the relative thicknesses of the materials comprising the laminated plates. It is shown that the orthotropy ratio for the plate (defined here by D rr / D θ θ ) is a convenient compact parameter for indicating the sensitivity to edge damage. Mode shapes are also computed and found to be profoundly affected by the orthotropy ratio. The behavior of higher modes of vibration is also discussed and the phenomenon of cross over, whereby two modes exist having the same frequency, is observed.