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Nonlinear dynamics of a SDOF oscillator with Bouc-Wen hysteresis. (English) Zbl 1132.70010

Summary: Bouc-Wen hysteresis model is one of the most widely accepted smoothly varying differential models in the engineering field. With different parameters of Bouc-Wen model, the vibrating system is nonlinear for its softening or hardening responses. Here by means of numerical simulations, we investigate frequency responses, bifurcation and chaos of a SDOF oscillator with different parameters of Bouc-Wen model. The influence of hysteretic parameters on nonlinear dynamic responses of vibrating system is studied, and some new phenomena are detected.

MSC:

70K50 Bifurcations and instability for nonlinear problems in mechanics
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
70-08 Computational methods for problems pertaining to mechanics of particles and systems

Keywords:

bifurcation; chaos
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[1] Pan, C. Z.; Yang, S. P.; Shen, Y. J., An electro-mechanical coupling model of magnetorheological damper, Int J Nonlin Sci Numer Simul, 6, 1, 69-73 (2005)
[2] Yang, S. P.; Li, S. H.; Wang, X. J.; Gordaninejad, F.; Hitchcock, G., A hysteresis model for magneto-rheological damper, Int J Nonlin Sci Numer Simul, 6, 2, 139-144 (2005)
[3] Caughey, T. K., Random excitation of a system with bilinear hysteresis, ASME J Appl Mech, 12, 649-652 (1960)
[4] Iwan, W.; Lutes, L., Response of the bilinear hysteretic system to stationary random excitation, J Acoust Soc Am, 43, 545-552 (1968)
[5] Wen, Y. K., Method for random vibration of hysteretic systems, Proc ASCE, J Eng Mech, 12, 249-263 (1976)
[6] Dobson, S.; Noori, M.; Hou, Z.; Dimentberg, M.; Baber, T., Modeling and random vibration analysis of SDOF system with asymmetric hysteresis, Int J Non-Lin Mech, 32, 4, 669-680 (1997) · Zbl 0890.73038
[7] Ni, Y. Q.; Ko, J. M.; Wong, C. W., Identification of non-linear hysteretic isolators from periodic vibration tests, J Sound Vib, 217, 4, 737-756 (1998)
[8] Lacarbonara, W.; Vestroni, F., Nonclassical responses of oscillators with hysteresis, Nonlin Dyn, 32, 3, 235-258 (2003) · Zbl 1062.70599
[9] Awrejcewicza, J.; Dzyubakb, L. P., Influence of hysteretic dissipation on chaotic responses, J Sound Vib, 284, 1-2, 513-519 (2005) · Zbl 1237.34051
[10] Li, H. G.; Zhang, J. W.; Wen, B. C., Chaotic behaviors of a bilinear hysteretic oscillator, Mech Res Commun, 29, 5, 283-289 (2002) · Zbl 1024.70501
[11] Li, H. G.; Wen, B. C.; Zhang, J. W., Asymptotic method and numerical analysis for self-excited vibration in rolling mill with clearance, Shock Vib, 8, 1, 9-14 (2001)
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