METHOD OF ITERATIVE LINEARIZATION TO SOLVE NONLINEAR STOCHASTIC VIBRATION PROBLEMS

In this paper, an iterative method of statistic linearization (IMSL) i s presented to solve non-linear stochastic vibration equations. This m ethod represents an improvement over the classical linearization metho d. The method uses the solution of the corresponding linear vibration equation as an initial value in an iterative procedure. To obtain info rmation about essential statistical average values, the method uses a 'boot-strapping' procedure, which defines a pseudorandom process based on the statistical characteristics of the linear solution and then us es samples from the process to estimate them. For Gaussian input excit ation, the statistical average values are obtained by theoretical anal ysis.