Abstract
It is shown that, under certain conditions, the normal method of stochastic averaging can be applied to predict the probability distribution of the response of a wide class of hysteretic oscillator to wide-band random excitation. Some specific results are obtained for oscillators with hysteresis of the curvilinear, Bouc-Wen type. Good agreement is obtained between theoretical predictions and experimental results, derived from dynamic tests on a mass-cable system.
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
J. B. Roberts and P. D. Spanos, “Random Vibration and Statistical Linearization”, J. Wiley, Chichester, UK, 1990.
J. B. Roberts and P. D. Spanos, “Stochastic Averaging: An Approximate Method of Solving Random Vibration Problems”, Int. J, Non-linear Mechanics, Vol. 21, 1986, pp. 111–134.
J. B. Roberts, “The Response of an Oscillator with Bilinear Hysteresis to Stationary Random Excitation”, J. App. Mechs., ASME, Vol. 45, 1978, pp. 923–928.
J. B. Roberts, “The Yielding Behaviour of a Randomly Excited Elasto-Plastic Structure”, J. Sound Vib., Vol. 72, 1980, pp.71–86.
J. B. Roberts and A. H. Sadeghi, “Nonstationary Response of Oscillators with Bilinear Hysteresis to Random Excitation”, in ‘Stochastic Structural Dynamics’, published by Elsevier. Amsterdam (eds. S, T. Ariaratnam et al), 1988, pp. 197–218.
M. Yar and J. K. Hammond, “On Modelling and Response of Bilinear Hysteretic Systems”, J. Eng. Mechs., ASCE, Vol. 113, 1987, pp. 3–10.
W. Q. Zhu and Y. Lei, “Stochastic Averaging of the Energy Envelope of Bilinear Hysteretic Systems”, Proc. IUTAM Symp. on Nonlienar Stochastic Dynamic Engineering Systems, Innsbruck, Austria, June 1987, published by Springer-Verlag, Berlin, 1988 (eds. F. Ziegler and G. I. Schueller), pp. 361–380.
J. B. Roberts, “Application of Averaging Methods to Randomly Excited Hysteretic Systems”, Proc. IUTAM Symp, on Nonlinear Stochastic Dynamic Engineering Systems, Innsbruck, Austria, June 1987, published by Springer-Verlag, Berlin, 1988 (eds. P. Ziegler and G. I. Schneller), pp. 361–380.
J. B. Roberts, “Sequential Parametric Identification and Response of Hysteretic Oscillators with Random Excitation”, Structural Safety, Vol. 8, 1990, pp. 45–68.
A. H. Sadeghi, “Identification and Stochastic Response of Hysteretic Systems”, DPhil Thesis, University of Sussex, UK, 1991.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1992 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Roberts, J.B., Sadeghi, A.H. (1992). Distribution of the Response of Hysteretic Oscillators with Wide-Band Random Excitation. In: Bellomo, N., Casciati, F. (eds) Nonlinear Stochastic Mechanics. IUTAM Symposia. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-84789-9_38
Download citation
DOI: https://doi.org/10.1007/978-3-642-84789-9_38
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-84791-2
Online ISBN: 978-3-642-84789-9
eBook Packages: Springer Book Archive