Non-stationary response of large linear FE models under stochastic loading
A numerical procedure to compute the statistical second moment (variance) characteristics of the response of linear structuresmodeled by large FE modelsunder stochastic loading is presented. For this purpose modal analysis including a static correction procedure is applied in order to calculate the structural response. A non-white, non-zero mean, non-stationary, distributed loading as applied is represented by the well known KarhunenLove expansion, which allows to describe any type of non-white excitation and can be easily adjusted to available statistical data. In the proposed approach, step-by-step integration procedures developed for deterministic FE analysis are applied in order to compute the second moment characteristics of the stochastic response.
linear fe models modal analysis karhunenlove expansion stochastic dynamics statistical second moment characteristics deterministic integration