Abstract
The equivalent stochastic linearization method has proven to be a convenient and efficient analytical tool for computing the response statistics of nonlinear systems. This method was introduced by Krylov and Bogoliubov(1947) for nonlinear systems subject to deterministic excitation. It was first applied to nonlinear stationary systems with random excitations by Booton(1954) and later Caughey(1963). Later investigators generalized the method to multi-degree-of-freedom systems, nonstationary responses, and non-gaussian responses. Pertinent information can be found in Iwan and Yang(1972), Atalik and Utku(1976), Spanos(1980), Spanos(1981a), Beaman and Hedrick(1981). For a survey on linearization methods, see Spanos(1981b) and Roberts and Spanos(1989).
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1990 Springer-Verlag Berlin, Heidelberg
About this chapter
Cite this chapter
Donley, M.G., Spanos, P.D. (1990). Equivalent Stochastic Quadratization for Single-Degree-of-Freedom Systems. In: Dynamic Analysis of Non-Linear Structures by the Method of Statistical Quadratization. Lecture Notes in Engineering, vol 57. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46715-8_2
Download citation
DOI: https://doi.org/10.1007/978-3-642-46715-8_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-52743-5
Online ISBN: 978-3-642-46715-8
eBook Packages: Springer Book Archive