Generalized Bouc-Wen model for highly asymmetric hysteresis

Journal of Engineering Mechanics

Volumn 132, Issue 6, 2006, Pages 610-618

  Song, Junho ^a   Der Kiureghian, Armen ^b  

^a University of Illinois at Urbana Champaign   (United States)

^b Berkeley   (United States)

Author keywords

Dynamic response; Earthquake engineering; Electrical equipment; Hysteresis; Nonlinear analysis; Nonlinear differential equations; Nonlinear response; Stochastic processes

Indexed keywords

DIFFERENTIAL EQUATIONS; ELECTRIC EQUIPMENT; ELECTRIC SUBSTATIONS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; RANDOM PROCESSES; VIBRATION CONTROL; VIBRATIONS (MECHANICAL);

BOUC-WEN MODEL; ELECTRICAL EQUIPMENT; HYSTERESIS LOOPS; NONLINEAR ANALYSIS; NONLINEAR DIFFERENTIAL EQUATIONS; NONLINEAR RESPONSE;

HYSTERESIS;

DIFFERENTIAL EQUATIONS; ELECTRIC EQUIPMENT; ELECTRIC SUBSTATIONS; HYSTERESIS; IDENTIFICATION (CONTROL SYSTEMS); MATHEMATICAL MODELS; RANDOM PROCESSES; VIBRATION CONTROL; VIBRATIONS (MECHANICAL);

DYNAMIC RESPONSE; EARTHQUAKE ENGINEERING; HYSTERESIS; NONLINEARITY; STRUCTURAL RESPONSE; VIBRATION;

EID: 33646690061     PISSN: 07339399     EISSN: None     Source Type: Journal    
DOI: 10.1061/(ASCE)0733-9399(2006)132:6(610)     Document Type: Article

References (28)

1. Atalik, T. S., and Utku, S. (1976). "Stochastic linearization of multi-degree-of-freedom nonlinear systems." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 4, 411-420.
2. Baber, T. T., and Noori, M. N. (1984). "Random vibration of pinching hysteretic systems." J. Eng. Mech. JENMDT0733-9399, 110(7), 1036-1049.
3. Baber, T. T., and Wen, Y. K. (1981). "Random vibration hysteretic, degrading systems." J. Eng. Mech. Div., Am. Soc. Civ. Eng. JMCEA30044-7951, 107(6), 1069-1087.
4. Bažant, Z. (1978). "Endochronic inelasticity and incremental plasticity." Int. J. Solids Struct. IJSOAD0020-768310.1016/ 0020-7683(78)90029-X, 14, 691-714.
5. Bouc, R. (1967). "Forced vibration of mechanical system with hysteresis (Abstract)." Proc., 4th Conf. on Nonlinear Oscillation, Prague, Czechoslovakia.
6. Casciati, F. (1987). "Nonlinear stochastic dynamics of large structural systems by equivalent linearization." Proc., 5th Int. Conf. on Application of Statistics and Probability in Soil and Structural Engineering, ICASP5, Vancouver, B.C., Canada.
7. Clough, R., and Penzien, J. (1993). Dynamics of structures, McGraw-Hill, New York.
8. Der Kiureghian, A., Hong, K.-J., and Sackman, J. L. (2000). "Further studies on seismic interaction in interconnected electrical substation equipment." PEER Rep. No. 2000/01, Univ. of California, Berkeley, Calif.
9. Der Kiureghian, A., Sackman, J. L., and Hong, K.-J. (1999). "Interaction in interconnected electrical substation equipment subjected to earthquake ground motions." PEER Rep. No. 1999/01, Univ. of California, Berkeley, Calif.
10. Der Kiureghian, A., Sackman, J. L., and Hong, K.-J. (2001). "Seismic interaction in linearly connected electrical substation equipment." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 30, 327-347.
11. Fehlberg, E. (1969). "Klassiche Runge-Kutta formeln fünfter und siebenter ordnung mit schrittweitenkontrolle." Computing CMPTA20010-485X, 4, 93-106.
12. Filiatrault, A., Kremmidas, S., Elgamal, A., and Seible, F. (1999). "Substation equipment interaction-Rigid and flexible conductor studies." Rep. No. SSRP-99/09, Univ. of California, San Diego, Calif.
13. Foliente, G. C., Singh, M. P., and Noori, M. N. (1996). "Equivalent linearization of generally pinching hysteretic, degrading systems." Earthquake Eng. Struct. Dyn. IJEEBG0098-884710.1002/ (SICI)1096-9845(199606)25:6<611::AID-EQE572>3.0.CO;2-S, 25, 611-629.
14. Hurtado, J. E., and Barbat, A. H. (1996). "Improved stochastic linearization method using mixed distributions." Struct. Safety ZZZZZZ0167-4730, 18(1), 49-62.
15. Kimura, K., Yasumuro, H., and Sakata, M. (1994). "Non-Gaussian equivalent linearization for stationary random vibration of hysteretic system." Probab. Eng. Mech. PEMEEX0266-892010.1016/ 0266-8920(94)90025-6, 9, 15-22.
16. Lin, Y. K. (1967). Probabilistic theory of structural dynamics, McGraw-Hill, New York.
17. Noori, M. N., Choi, J., and Davoodi, H. (1986). "Zero and nonzero mean random vibration analysis of a new general hysteresis model." Probab. Eng. Mech. PEMEEX0266-8920, 1(4), 192-201.
18. Park, Y. J., Wen, Y. K., and Ang, A. H. S. (1986). "Random vibration of hysteretic systems under bi-directional ground motion." Earthquake Eng. Struct. Dyn. IJEEBG0098-8847, 14, 543-547.
19. Schuëller, G. I., Pandey, M. D., and Pradlwarter, H. J. (1994). "Equivalent linearization (EQL) in engineering practice for aseismic design." Probab. Eng. Mech. PEMEEX0266-892010.1016/ 0266-8920(94)90033-7, 9, 95-102.
20. Sheppard, W. F. (1899). "On the application of the theory of the error to cases of normal distribution and normal correlation." Philos. Trans. R. Soc. London, Ser. APTRMAD0962-8428, 192, 101-167.
21. Song, J. (2004). "Seismic response and reliability of electrical substation equipment and system." Ph.D. thesis, Univ. of California, Berkeley, Calif.
22. Stone, C. J. (1996). A course in probability and statistics, Duxbury, Belmont, Calif.
23. Thyagarajan, R. S., and Iwan, W. D. (1990). "Performance characteristics of a widely used hysteretic model in structural dynamics." Proc., 4th U.S. National Conf. Earthquake Engineering, Palm Springs, Calif.
24. Wang, C.-H., and Wen, Y. K. (1998). "Reliability and redundancy of pre-northridge low-rise steel building under seismic excitation." Rep. No. UILU-ENG-99-2002, Univ. Illinois at Urbana-Champaign, Champaign, Ill.
25. Wen, Y. K. (1976). "Method for random vibration of hysteretic systems." J. Eng. Mech. Div., Am. Soc. Civ. Eng. JMCEA30044-7951, 102(2), 249-263.
26. Wen, Y. K. (1980). "Equivalent linearization for hysteretic systems under random excitation." Trans. ASME, 47, 150-154.
27. Wen, Y. K. (1989). "Methods of random vibration for inelastic structures." Appl. Mech. Rev. AMREAD0003-6900, 42(2), 39-52.
28. Wen, Y. K., and Yeh, C. H. (1989). "Biaxial and torsional response of inelastic structures under random excitation." Struct. Safety ZZZZZZ0167-4730, 6, 137-152.