Antisymmetric Cross-ply Plates Research Articles

Non-linear bending of antisymmetric cross-ply plates

Non-linear bending of antisymmetric cross-ply plates

Bending of cross-ply laminated clamped plates using lagrange multipliers

The application of the Lagrange multiplier method to the bending analysis of laminated cross-ply clamped plates is described. Transverse shear deformation effects are incorporated in the energy functional. Boundary conditions not satisfied by the assumed series expressions are enforced by Lagrange multipliers. A variety of results are presented for symmetric and antisymmetric cross-ply plates with clamped boundary conditions to demonstrate the effect of anisotropy, plate geometry and span-to-depth ratios on the deflections. Closed form solutions are not tractable for laminated clamped plates and the results of the present methodology can be used as a reference for other approximate solutions.

Non-linear bending of antisymmetric cross-ply plates

The bending of antisymmetric cross-ply plates, based on Von-Karman plate theory, is investigated in this paper with one term approximations for the in-plane and transverse displacements. Rayleigh-Ritz solutions are presented for the non-linear response of cross-ply laminates with various modular and aspect ratios and subjected to sinusoidal transverse loading.

Soft-spring nonlinear vibrations of antisymmetrically laminated rectangular plates

This paper deals with the effects of initial geometric imperfections and in-plane boundary conditions on the large-amplitude vibration behavior of angle- and cross-ply rectangular thin plates. It is found that the presence of imperfection amplitudes of the order of only half the total laminated-plate thickness may significantly raise the vibration frequencies and change the large-amplitude vibration behavior from the well-known hard-spring to soft-spring behavior. The effects of fibre angles and bending-stretching coupling for angle-ply plates and Young's moduli ratios and number of layers for antisymmetric cross-ply plates are examined.

Discussion of “Flexural Failure of Antisymmetric Cross-Ply Plates”

Considerable research effort is currently being directed towards a fuller understanding of the failure of advanced composite structures, e.g., Carbon-Fiber Reinforced Plastics (CFRP) and Glass-Fiber Reinforced Plastics (GFRP). The purpose of this research is to facilitate the development of rational design procedures.