Accession Number : ADA153040

Title :   Solution to Eigenvalue Problems of Antisymmetric Cross-Ply and Antisymmetric Angle-Ply Laminated Plates Using Affine Transformations.

Descriptive Note : Master's thesis,

Corporate Author : AIR FORCE INST OF TECH WRIGHT-PATTERSON AFB OH SCHOOL OF ENGINEERING

Personal Author(s) : Chaudhry,Z A

PDF Url : ADA153040

Report Date : Dec 1984

Pagination or Media Count : 105

Abstract : Using affine transformations and suitably recasting the buckling vibration differential equations, the eigenvalue problem of anti-symmetric cross-ply and antisymmetric angle-ply laminated rectangular plates has been reduced to a function of two strong material constants, the generalized rigidity ratio, whose range is in the closed interval from 0 to 1, and the ratio of principal lamina stiffness. With the reduction in number of constants an exhaustive parameter study of buckling and vibration solution trends, is possible. The buckling coefficients decrease with decreasing value of generalized rigidity ratio for both antisymmetric cross-ply and antisymmetric angle-ply laminates. For a given aspect ratio, and ratio of principal lamina stiffnesses, the buckling and frequency coefficient for antisymmetric cross-ply laminates vary linearly with the value of the generalized rigidity ratio, so that one may accurately interpolate between the values of the generalized rigidity ratio. The buckling and frequency coefficients increase with increasing F for antisymmetric cross-ply laminates. No such trend could be established for antisymmetric angle-ply laminates. A simple and fairly accurate method has been established for estimating the buckling and vibration coefficients for anti-symmetric cross-ply laminates. Keywords include: Composite Materials, Laminates, Buckling, Vibration.

Descriptors :   *COMPOSITE MATERIALS, *LAMINATES, RATIOS, VIBRATION, EIGENVALUES, COEFFICIENTS, BUCKLING, DIFFERENTIAL EQUATIONS, RIGIDITY, ASPECT RATIO, INTERVALS

Subject Categories : Containers and Packaging
      Mechanics

Distribution Statement : APPROVED FOR PUBLIC RELEASE