Determination of Non-Linear Buckling Load for Simple Supported Beam with Bounded Initial Imperfection

A method to obtain non-linear buckling loads of simple supported beam with initial imperfection is presented,Which avoids differential equation sets initial value problems resulting from another definition of buckling load,and the proposed method save computational cost. Fourier series to describe initial imperfection is viewed bounded variables followed a certain probability distribution,the range of buckling load under a certain reliability is obtained via statistical method,and a non-stochastic interval method to determine the range of buckling load is presented to describe a situation when only limited information is available on initial imperfection. Finally,the results from both approaches are critically contrasted,the scope of application is given qualitatively for each approach.