FEM IMPLEMENTATION OF KOITER’S ASYMPTOTIC POST-BUCKLING PREDICTION WITH APPLICATION TO STOCHASTIC POST-BUCKLING ANALYSIS

Abstract eng:
In proper structural design it is critical to consider not only the elastic buckling behavior, but also the postbuckling response. Koiter showed the importance of postbuckling response parameters for better understanding strength and imperfection sensitivity of structures. Koiter’s perturbation method provides an efficient prediction of the postbuckling path for elastic structures. More recent work has focused on a finite element implementation of Koiter’s method that is more convenient for typical computational structural analyses. When considering the effects of inherent randomness in the structural parameters on the postbuckling path of a structure, this convenience and efficiency is particularly critical. In this work, Monte Carlo simulation techniques are used to study the effects of random elastic moduli on the postbuckling response of some simple frame structures. This analysis provides a deeper understanding of the variability in anticipated postbuckling response that could provide highly valuable design considerations. A first-order analytical approximation to the mean and variance of the postbuckling behavior is proposed as a means of curtailing the need for a high number of sample simulations.

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