抄録
Buckling of an infinite Bernoulli-Euler beam resting on an elastic Winkler foundation characterized by a cubic nonlinearity is studied. Especially, theoretical formulae of the buckling load are derived based on the perturbation method for a beam with initial deflection and variable axial load. First, the snap-through buckling load is obtained for space-harmonic imperfections in both the initial deflection and the axial load. Next, the initial deflection and axial load fluctuation given by stationary random functions are considered. Expectation of the buckling load is described as a function of variance and power spectrum density of these uncertainties. Through buckling analyses, the theoretical buckling load is compared with numerical results. It is shown that the derived solutions can be a good approximation to the present problem.
