The Determination of the Natural Frequencies and Mode Shapes for Anisotropic Laminated Plates Including the Effects of Shear Deformation and Rotatory Inertia.
AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING
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An analytical study was conducted to determine the natural frequencies and mode shapes for laminated anisotropic plates, including the effects of shear deformation and rotatory inertia, by using the Galerkin Technique. Three different boundary conditions, simply-supported, clamped, and two opposite sides clamped, two opposite sides simply-supported, were considered. Two different graphite epoxy symmmetric plates were used in the analysis. Convergence characteristics and the effects of length to thickness ratios were investigated. Comparison to classical results and contour plots for several mode shapes are provided. It was found that as the length to thickness ratios were reduced, shear deformation effects significantly lowered the natural frequencies. Analysis also showed that rotatory inertia effects were very small. Convergence characteristics for all three boundary conditions were very good and excellent agreement with classical solutions was achieved. Keywords Composites Plates Vibrations Shear deformation Theses Rotatory inertia Galerkin technique and Computer programs.
- Laminates and Composite Materials