Response analysis of randomly excited nonlinear systems with symmetric weighting Preisach hysteresis

Acta Mechanica Sinica/Lixue Xuebao

Volumn 19, Issue 4, 2003, Pages 365-370

  Ying, Zuguang ^a  

^a ZHEJIANG UNIVERSITY   (China)

Author keywords

Nonlinear hysteretic system; Preisach hysteresis; Random vibration

Indexed keywords

MATRIX ALGEBRA; PROBABILITY; RANDOM PROCESSES; SIMULATION; VIBRATIONS (MECHANICAL);

DIGITAL SIMULATION; NONLINEAR HYSTERETIC SYSTEM; PREISACH HYSTERESIS; RANDOM VIBRATION;

NONLINEAR SYSTEMS;

EID: 1342327913     PISSN: 05677718     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02487814     Document Type: Article

References (18)

1. Krasnoselskii MA, Pokrovskii AV. Systems with Hysteresis. Berlin: Springer, 1989
2. Cai GQ, Lin YK. On randomly excited hysteretic structures. ASME J Appl Mech, 1990, 57: 442-448
3. Hughes D, Wen JT. Preisach modeling of piezoceramic and shape memory alloy hysteresis. Smart Materials Struct, 1997, 6: 287-300
4. Wen YK. Method for random vibration of hysteretic systems. ASCE J Engrg Mech Div, 1976, 102: 249-263
5. Dahl PK. Solid friction damping of mechanical vibrations. AIAA J, 1976, 14: 1675-1682
6. Yar M, Hammond JK. Modeling and response of bilinear hysteretic systems. ASCE J Engrg Mech, 1987, 113: 1000-1013
7. Song GQ, Sun QP, Hwang KG. Effect of microstructure on the hardening and softening behaviors of poly-crystalline shape memory alloys, Part I: Micromechanics constitutive modeling. Acta Mechanica Sinica, 2000, 16: 309-324
8. Macki JW, Nistri P, Zecca P. Mathematical models for hysteresis. SIAM Rev, 1993, 35: 94-123
9. Zhu WQ, Cai GQ. Nonlinear stochastic dynamics: a survey of recent developments. Acta Mechanica Sinica, 2002, 18: 551-566
10. Caughey TK. Equivalent linearization techniques. J Acous Soc Amer, 1963, 35: 1706-1711
11. Roberts JB, Spanos PD. Random vibration and statistical linearization. Chichester: Wiley, 1990
12. Roberts JB, Spanos PD. Stochastic averaging: an approximate method of solving random vibration problems. Int J Non-Linear Mech, 1986, 21: 111-134
13. Zhu WQ. Stochastic averaging methods in random vibration. ASME Appl Mech Rev, 1988, 41: 189-199
14. Roberts JB. Application of averaging methods to randomly excited hysteretic systems. In: Ziegler F and Schueller L eds. Nonlinear Stochastic Dyn Engrg Sys. Berlin: Springer-Verlag, 1988. 361-379
15. Wen YK. Equivalent linearization for hysteretic systems under random excitation. ASME J Appl Mech, 1980, 47: 150-154
16. Zhu WQ, Lin YK. Stochastic averaging of energy envelope. ASCE J Engrg Mech, 1991, 117: 1890-1905
17. Mayergoyz ID, Korman CE. The Preisach model with stochastic input as a model for aftereffect. J Appl Phy, 1994, 75: 5478-5480
18. Korman CE, Mayergoyz ID. Switching as an exit problem. IEEE Trans Mag, 1995, 31: 3545-3547