Abstract
The effect of an initial buckle on the RMS response of a beam under a wide-band stationary random loading having a constant power spectrum and zero mean is investigated approximately by means of the equivalent linearization method. Deflections and stresses are found to vary from those of the static buckled beam to those of the straight unbuckled beam with increasing loading spectral density. Computer simulations of nonlinear beam response obtained by numerical integrations of the equations of motion yield reasonably similar RMS response and further indicate similar numbers of stress reversals for buckled and unbuckled beams.
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