Buckling analysis of thin plates using direct interpolation boundary element method

The present study employs the direct integration boundary element method (DIBEM) to analyze the buckling behavior of thin plates. Unlike conventional approaches, this method eliminates the need for domain discretization or specialized solutions. Furthermore, it constitutes a continuation from the previous research in Doval et al. (2013), which employed the radial integration method for the same investigation.To showcase the efficacy of the proposed approach, it is utilized in the stability analysis of both perforated and non-perforated plates. The findings are then compared against analytical responses, in the case of non-perforated plates, and finite element method results, for perforated plates.Moreover, the use of boundary elements reduces the size of the eigenvalue problem involved in stability analysis, as compared to finite elements, provided that only the domain and a few internal points are needed for discretization.Overall, this paper presents a novel and effective approach to the analysis of buckling plates.

Automated summary

The present study uses the direct integration boundary element method (DIBEM) to analyze the buckling behavior of thin plates. This method eliminates the need for domain discretization or specialized solutions. The proposed approach is compared with analytical responses and finite element method results to demonstrate its efficacy in stability analysis.