An efficient method is presented for estimating the high cycle fatigue
life of nonlinear structures under random excitations. The procedure
is based on an application of the method of equivalent linearization f
or constructing the response of the stress of the structure in time do
main. Fatigue estimates are obtained by processing the time domain sig
nal using the Rain-Flow cycle counting scheme in conjunction with the
linear accumulative damage theory. The estimated average fatigue life
of a nonlinear plate under random excitations by the present method is
compared with the result obtained by direct Monte Carlo simulations o
f the original nonlinear modal equations. The agreement is excellent f
or a wide range of levels of nonlinearity. The present method has the
advantage of being much more computationally efficient than direct num
erical simulations of nonlinear systems. The computational effort requ
ired of the present method for a nonlinear system is nearly the same a
s that for a linear system and is not affected much by the type and le
vel of nonlinearity in the structure. The present method offers a prac
tical means for predicting high cycle fatigue lives of complex nonline
ar structures.