Abstract
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 au][4]. The authors, in previous work au][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 Northridge (California) Earthquake. The authors have now extended this work to nonlinear system response by using equivalent hnearization techniques au][7]. This paper summarizes the extension to the analysis of nonhnear systems, and explores the range of application of the technique.
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Smyth, A.W., Masri, S.F. (2003). Use of Orthogonal Decomposition of Data-Based Excitation Processes for Nonstationary Response of Nonlinear Systems. In: Namachchivaya, N.S., Lin, Y.K. (eds) IUTAM Symposium on Nonlinear Stochastic Dynamics. Solid Mechanics and Its Applications, vol 110. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0179-3_32
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