Stability and vibration of isotropic, orthotropic and laminated plates according to a higher-order shear deformation theory Academic Article uri icon


  • A higher-order shear deformation theory is used to determine the natural frequencies and buckling loads of elastic plates. The theory accounts for parabolic distribution of the transverse shear strains through the thickness of the plate and rotary inertia. Exact solutions of simply supported plates are obtained and the results are compared with the exact solutions of three-dimensional elasticity theory, the first-order shear deformation theory, and the classical plate theory. The present theory predicts the frequencies and buckling loads more accurately when compared to the first-order and classical plate theories. 1985.

published proceedings

  • Journal of Sound and Vibration

author list (cited authors)

  • Reddy, J. N., & Phan, N. D.

citation count

  • 546

complete list of authors

  • Reddy, JN||Phan, ND

publication date

  • January 1985