Accession Number:

AD0776017

Title:

On the Analysis of Anisotropic Rectangular Plates

Descriptive Note:

Technical rept. Jan 1971-Mar 1972

Corporate Author:

AIR FORCE MATERIALS LAB WRIGHT-PATTERSON AFB OH

Personal Author(s):

• Whitney, J. M.

Report Date:

1972-08-01

Pagination or Media Count:

32.0

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.

Descriptors:

• *FIBER REINFORCED COMPOSITES
• *LAMINATES
• ANISOTROPY
• BENDING
• COMPRESSIVE PROPERTIES
• FOURIER ANALYSIS
• PLATES
• SHEAR PROPERTIES
• SHELLS(STRUCTURAL FORMS)
• STRESSES
• VIBRATION

Subject Categories:

• Laminates and Composite Materials

Distribution Statement:

APPROVED FOR PUBLIC RELEASE