The effect of width on the buckling and free vibration of laminated beams

Conference · Sat Dec 31 04:00:00 EST 1994

OSTI ID:89791

Whitney, J M ^[1]

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1. Univ. of Dayton, OH (United States)

The effect of length-to-width ratio and width-to-thickness ratio on the response of anisotropic laminated beams is investigated. The parameters under consideration are the critical buckling load under uniaxial compression, and the fundamental free vibration frequency. Using a Levy type analysis, exact solutions are obtained for the case of specially ortho tropic thin plates with two opposite edges simply-supported and the two adjacent edges free. Minimum length-to-width ratios compatible with one-dimensional beam assumptions are established for laminates having a high major Poisson`s ratio under bending. In order to consider angle-ply laminates within the framework of specially ortho tropic plates, stacking geometries with very weak bending-twisting coupling are investigated. By considering additional boundary conditions for the adjacent sides, it is illustrated that beam theory results can be recovered only for the case of free-boundaries. The effect of cross-section width is investigated by considering long narrow plates with various width-to-thickness ratios. In this case it is necessary to modify the thin plate theory to include transverse shear deformation in the width direction.

• OSTI ID: 89791
• Report Number(s): CONF-9409291--; ISBN 1-56676-220-0
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
42 ENGINEERING
BENDING
BOUNDARY CONDITIONS
COMPOSITE MATERIALS
DEFORMATION
LAYERS
MATHEMATICAL MODELS
MECHANICAL VIBRATIONS
POISSON RATIO
SHEAR PROPERTIES
STRESSES
STRUCTURAL BEAMS