不確かな初期応力を有する骨組構造の確率有限要素法による座屈解析

抄録

When members having uncertainty in length are assembled into a frame structure, uncertain initial stresses are generated in it. This may influence the buckling load which is related with structural safety and reliability. Stochastic finite element method on the basis of the second order perturbation technique is developed in this class of problem and the formation for two dimensional frame structure is presented. The rates of change of eigenvalue for plural random variables are efficiently computed based on the single solution of the governing equation. It is demonstrated in numerical examples that the expectation and variance of buckling load are successfully evaluated for given moments of random variables.