On vibration and buckling of symmetric laminated plates according to shear deformation theories Academic Article

abstract

• The frequency and buckling equations of rectangular plates with various boundary conditions are developed within the third-order and the first-order shear deformation plate theories. The third-order theories account for a quadratic distribution of the transverse shear strains through the thickness of the plate. In the first part of this paper, Levinson's third-order theory, derived as a special case from Reddy's third-order theory, is used to study a plate laminated of transversely isotropic layers. The relationship between the original form of the governing equations and the interior and the edge-zone equations of the plate is closely examined and the physical insights from the latter equations are established. In the second part of the paper, the first-order shear deformation theory and the third-order theory of Reddy are studied for vibration and buckling. 1992 Springer-Verlag.

authors

• Reddy, Junuthula

published proceedings

• Acta Mechanica

author list (cited authors)

• Nosier, A., & Reddy, J. N.

citation count

• 42

complete list of authors

• Nosier, A||Reddy, JN

publication date

• September 1992

publisher

• Springer Nature  Publisher

published in

• ACTA MECHANICA  Journal

Digital Object Identifier (DOI)

• 10.1007/bf01176647

start page

• 123

end page

• 144

volume

• 94

issue

• 3-4