Buckling Behavior of Composite Triangular Plates

Abstract

This paper is to do a brief research on the buckling behavior of composite triangular plates with various edge boundary conditions and in-plane loads. It may be regarded as a right and simple numerical method for the analysis of composite triangular thin plate using the natural Area coordinates. Previous studies on the solution of triangular plates with different boundary conditions were mostly based on the Rayleigh-Ritz principle which is performed in the Cartesian coordinate. In this method, the energy functional of a general triangular plate is derived and the Rayleigh-Ritz method is utilized to derive the governing eigenvalue equation for the buckling
problem. The geometry is presented in a natural way by mapping a parent triangle and the integrals are evaluated analytically. The polynomial terms in the Area coordinates are employed to interpolate plate deflection. In this approach, the convergence is always assured due to the completeness of interpolating polynomials. Extensive buckling factors are presented for several selected right-angled and isosceles triangular plates of various edge support conditions and subjected to composite thin plates under various in-planes compressive loads and the results are validated to the other results.