Use of orthogonal decomposition of data-based excitation processes for nonstationary response of nonlinear systems

摘要

The topic of stochastic response of dynamic systems has been an area of considerable interest for some time in the analysis of risk and structural reliability. A substantial reference list of work in this area can be found in [4]. The authors, in previous work [3, 6], have developed a method which can analyze the response of linear multi-degree-of-freedom systems to completely general data-based nonstationary excitations in a highly efficient and analytical form. This was demonstrated with successful application to a model structure subjected to an ensemble of ground-motion recordings from the 1994 Noithridge (California) Earthquake. The authors have now extended this work to nonlinear system response by using equivalent linearization techniques [7]. This paper summarizes the extension to the analysis of nonlinear systems, and explores the range of application of the technique.