On the Analysis of Anisotropic Rectangular Plates
Abstract
Extensive use of energy methods in conjunction with classical beam mode functions has been used to obtain approximate solutions to homogeneous, or symmetrically laminated, anisotropic plate problems. Because of the existence of cross- elasticity bending stiffness terms, the beam functions do not satisfy the natural boundary conditions. As a result, bending moments and stresses, which are of practical interest, may converge to the wrong solution or may not converge at all. Furthermore, bending deflections, buckling loads, and fundamental vibration frequencies converge very slowly for highly anisotropic materials. This report shows that improved results can be obtained for anisotropic plates which contain strong cross-elasticity effects by using a classical Fourier analysis which satisfies both the geometric and natural boundary conditions. Numerical results are presented for bending under transverse load, buckling under biaxial compression and pure shear, and natural frequencies of flexural vibrations. Both homogeneous and laminated plates are discussed.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1972
- Accession Number
- AD0776017
Entities
People
- J. M. Whitney
Organizations
- Air Force Research Laboratory