BOUNDARY INTEGRAL-EQUATIONS AND THE BOUNDARY-ELEMENT METHOD FOR BUCKLING ANALYSIS OF PERFORATED PLATES

In this paper, a system of new boundary integral equations is establis hed to solve the plane stress, critical loads and post-buckling proble m for perforated thin plates, based on the general bifurcation theory and mathematical model for the stability analysis of perforated thin p lates. As applications, we compute the critical loads and analyse the post-buckling behaviour of annular plates with simply supported and cl amped edges under uniformly applied edge loads. The results agree well with those obtained by other methods. This shows that the boundary el ement method is efficiently applied to the post-buckling analyses of p erforated thin plates and has the advantages of smaller-size matrices to process, less data to input and less time to use in computation com pared with domain type solutions.