Traditional and emerging techniques for practical random vibration analyses

Abstract

The paper focuses on available tools for conducting random vibration analyses for practical engineering problems. An inherent aspect of this theme is the simultaneous existence of elements with linear behavior, and of elements with nonlinear behavior within the system. In this regard, techniques both for linear and nonlinear random vibration analyses are discussed. Attention is focused on traditional techniques such as statistical linearization, and Monte Carlo simulation. Further, emerging techniques, such as wavelets, as a tool for signal and response localization; and fractional calculus, as a tool for capturing non-local behavior are discussed. Pertinent examples of the application are considered.