Transient dynamics of stochastically parametered beams

The problem of determining the statistics of the transient response of rand omly inhomogeneous beams is formulated. This is based on the use of stochas tic dynamic stiffness coefficients in conjunction with the fast Fourier tra nsform algorithm. The dynamic stiffness coefficients, in turn, are determin ed using a stochastic finite-element formulation that employs frequency-dep endent shape functions. The approach is illustrated by analyzing the respon se of a random rod subject to a boxcar type of axial impact and, also, by c onsidering the flexural response of a randomly inhomogeneous beam resting o n a randomly varying Winkler's foundation and subjected to the action of a moving force. A discussion on the treatment of system property random field s as being non-Gaussian in nature is presented. Also discussed are the meth ods for handling nonzero initial conditions within the framework of the fre quency domain response analysis employed in the study. Satisfactory compari sons between the analytical results and simulation results are demonstrated .