Buckling Behavior of Composite Triangular Plates

Abstract

This paper is to do a brief research on the bucklin g behavior of composite triangular plates with various edge boundary conditions and in-plane loads . It may be regarded as a right and simple numerica l method for the analysis of composite triangular thin plate using the natural Area coordinates. Previous studi es on the solution of triangular plates with different bounda ry conditions were mostly based on the Rayleigh-Rit z principle which is performed in the Cartesian coordinate. In this method, the energy functional of a general tri angular plate is derived and the Rayleigh-Ritz method is utilized to derive the governing eigenvalue equation for th e 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 coor dinates are employed to interpolate plate deflectio n. In this approach, the convergence is always assured due to the completeness of interpolating polynomials. Exte nsive buckling factors are presented for several selected right-angled and isosceles triangular plates of va rious edge support conditions and subjected to composite thin plates under various in-planes compressive loads an d the results are validated to the other results.