Analytical Solution for Bending Analysis of Axially Functionally Graded Angle-Ply Flat Panels

Abstract EN

In this paper, the analytical solution is presented for axially functionally graded (AFG) angle-ply flat panels subjected to arbitrary boundary condition.

Material properties of AFG panels are assumed to vary linearly along x-direction.

Reissner-type variation principle is used to derive the governing equations in mixed form.

By employing extended Kantorovich method (EKM), a set of nonhomogeneous ordinary differential equations (ODEs) are obtained along the in-plane (x) and thickness (z) direction.

The system of ODEs along the z-direction has constant coefficients, solved analytically.

However, the system of ODEs along x-direction has variable coefficients, solved using modified power series method.

The influence of property variation on the deflection and stresses is studied and discussed comprehensively for different sets of boundary conditions.

Numerical results are validated through comparison with 3D FE.

The presented analytical solution can serve as a benchmark for assessing the accuracy of the two-dimensional solution or 3D numerical solutions.