Random response of Preisach hysteretic systems

Journal of Sound and Vibration

Volumn 254, Issue 1, 2002, Pages 37-49

  Ying, Z G ^a   Zhu, W Q ^a   Ni, Y Q ^b   Ko, J M ^b  

^a ZHEJIANG UNIVERSITY   (China)

^b HONG KONG POLYTECHNIC UNIVERSITY   (Hong Kong)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; DYNAMIC RESPONSE; GAUSSIAN NOISE (ELECTRONIC); HYSTERESIS; MATRIX ALGEBRA; PROBABILITY; WHITE NOISE;

HYSTERETIC SYSTEMS;

NONLINEAR SYSTEMS;

EID: 0037182662     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.2001.4078     Document Type: Article

References (32)

1. M.A. Krasnoselskii and A.V. Pokrovskii 1989 Systems with Hysteresis. Berlin: Springer.
2. I.D. Mayergoyz 1991 Mathematical Models of Hysteresis. New York: Springer-Verlag.
3. A. Visintin 1994 Differential Models of Hysteresis. Berlin: Springer-Verlag.
4. J.W. Macki, P. Nistri and P. Zecca 1993 SIAM Reviews 35, 94-123. Mathematical models for hysteresis.
5. G.Q. Cai and Y.K. Lin 1990 Journal of Applied Mechanics, American Society of Mechanical Engineers 57, 442-448. On randomly excited hysteretic structures.
6. B.F. Spencer, S.J. Dyke, M.K. Sain and J.D. Carlson 1997 Journal of Engineering Mechanics, American Society of Civil Engineers 123, 230-238. Phenomenological model for magnetorheological dampers.
7. D. Hughes and J.T. Wen 1997 Smart Materials and Structures 6, 287-300. Preisach modeling of piezoceramic and shape memory alloy hysteresis.
8. M.D. Symans and M.C. Constantinou 1999 Engineering Structures 21, 469-487. Semi-active control systems for seismic protection of structures: a state-of-the art review.
9. R. Bouc 1967 Proceedings of the Fourth Conference on Non-Linear Oscillation Prague, Czechoslovakia, 315-315. Forced vibration of mechanical systems with hysteresis.
10. Y.K. Wen 1976 Journal of Engineering Mechanics Division, American Society of Civil Engineers 102, 249-263. Method for random vibration of hysteretic systems.
11. P.K. Dahl 1976 American Institute of Aeronautics and Astronautics Journal 14, 1675-1682. Solid friction damping of mechanical vibrations.
12. M. Yar and J.K. Hammond 1987 Journal of Engineering Mechanics, American Society of Civil Engineers 113, 1000-1013. Modeling and response of bilinear hysteretic systems.
13. T.K. Caughey 1963 Journal of the Acoustical Society of America 35, 1706-1711. Equivalent linearization techniques.
14. T.S. Atalik and S. Utku 1976 Earthquake Engineering and Structural Dynamics 4, 411-420. Stochastic linearization of multi-degree-of-freedom non-linear systems.
15. J.B. Roberts and P.D. Spanos 1990 Random Vibration and Statistical Linearization. Chichester: Wiley.
16. L. Socha and T.T. Soong 1991 Applied Mechanics Reviews, American Society of Mechanical Engineers 44, 399-422. Linearization in analysis of nonlinear stochastic systems.
17. I. Elishakoff and G. Falson 1993 Computational Stochastic Mechanics 175-194. Some recent developments in stochastic linearization technique.
18. R.L. Stratonovitch 1963 Topics in the Theory of Random Noise. Vol. 1. New York: Gordon and Bresch.
19. R.Z. Khasminskii 1966 Theory of Probability and Applications 11, 390-405. A limit theorem for the solutions of differential equations with random right-hand sides.
20. Y.K. Lin 1986 Probabilistic Engineering Mechanics 1, 23-27. Some observations on the stochastic averaging method.
21. J.B. Roberts and P.D. Spanos 1986 International Journal of Non-Linear Mechanics 21, 111-134. Stochastic averaging: an approximate method of solving random vibration problems.
22. W.Q. Zhu 1988 Applied Mechanics Reviews, American Society of Mechanical Engineers 41, 189-199. Stochastic averaging methods in random vibration.
23. W.Q. Zhu 1996 Applied Mechanics Reviews, American Society of Mechanical Engineers 49, 572-580. Recent developments and applications of the stochastic averaging method in random vibration.
24. G.Q. Cai 1995 Journal of Engineering Mechanics, American Society of Civil Engineers 121, 633-639. Random vibration of nonlinear system under nonwhite excitation.
25. T.K. Caughey 1960 Journal of Applied Mechanics, American Society of Mechanical Engineers 27, 649-652. Random vibration of system with bilinear hysteresis.
26. J.B. Roberts 1988 in Nonlinear Stochastic Dynamic Engineering Systems (F. Ziegler and G.I. Scheuller, editors), 361-379. Berlin: Springer-Verlag. Application of averaging methods to randomly excited hysteretic systems.
27. W.Q. Zhu and Y. Lei 1988 in Nonlinear Stochastic Dynamic Engineering Systems (F. Ziegler and G.I. Scheuller, editors), 381-391. Berlin: Springer-Verlag. Stochastic averaging of energy envelope of bilinear hysteretic system.
28. Y.K. Wen 1980 Journal of Applied Mechanics, American Society of Mechanical Engineers 47, 150-154. Equivalent linearization for hysteretic systems under random excitation.
29. W.Q. Zhu and Y.K. Lin 1991 Journal of Engineering Mechanics, American Society of Civil Engineers 117, 1890-1905. Stochastic averaging of energy envelope.
30. M. Noori, M. Dimentberg, Z. Hou, R. Christodoulidou and A. Alexandrou 1995 Probabilistic Engineering Mechanics 10, 161-170. First-passage study and stationary response analysis of a BWB hysteresis model using quasi-conservative stochastic averaging method.
31. I.D. Mayergoyz and C.E. Korman 1994 Journal of Applied Physics 75, 5478-5480. The Preisach model with stochastic input as a model for aftereffect.
32. C.E. Korman and I.D. Mayergoyz 1995 IEEE Transactions on Magnetics 31, 3545-3547. Switching as an exit problem.