Abstract
The purpose of this paper is to develop the idea of sensitivity analysis with respect to a parameter of stochastic dynamic systems presented by Socha [1]. This approach is applied for a simple nonlinear hysteretic model of practical sliding isolation system discussed by Constantinou and Papageorgiou [2]. The derived analytical solutions are compared with results of Monte Carlo simulations and the degree of accuracy of each solution is established.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Socha, L. The Sensitivity Analysis of Stochastic Non-linear Dynamical Systems, Journal of Sound and Vibrations, Vol.110, pp.271–288, 1986.
Constantinou, M.C. and Papageorgiou, A.S. Stochastic Response of Practical Sliding Isolation Systems, Probabilistic Engineering Mechanics, Vol.5, pp 27–34, 1990.
Baber, T. and Noori, M. Random Vibration of Degrading, Pinching Systems, ASCE, Journal of Engineering Mechanics Division, Vol.111, pp.1010–1027, 1985.
Baber, T. and Noori, M. Modeling General Hysteresis Behavior and Random Vibration Application, Trans ASME, Journal of Vibration, Acoustics, Stress, and Reliability in Design, Vol.108, pp.411–420, 1986.
Davoodi, H. and Noori, M. Extension of an ITO-Based General Approximation Technique for Random Vibration of a BBW General Hysteris Model, Part II: Non-Gaussian Analysis, Journal of Sound and Vibration, Vol.140, pp. 319–339, 1990.
Wen, Y.K. Methods of Random Vibration for Inelastic Structures, Applied Mechanics Review, Vol.42, pp.39–52, 1989.
Roberts, I.B. and Spanos, P.D. Random Vibration and Statistical Linearization, John Willey & Sons, Chichester 1990.
Ray, A., Pister, K.S. and Polak, E Sensitivity analysis for hysteretic dynamic systems: theory and applications, Computers methods in applied mechanics and engineering 14,pp. 179–208, 1978.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Computational Mechanics Publications
About this chapter
Cite this chapter
Socha, L., Zasucha, G. (1991). The Sensitivity Analysis of Stochastic Hysteretic Dynamic Systems. In: Spanos, P.D., Brebbia, C.A. (eds) Computational Stochastic Mechanics. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3692-1_7
Download citation
DOI: https://doi.org/10.1007/978-94-011-3692-1_7
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-85166-698-0
Online ISBN: 978-94-011-3692-1
eBook Packages: Springer Book Archive