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Abstract:
The dynamic characteristics of negative stiffness Duffing system with delayed feedback control are investigated. Choosing time delay as the control parameter, the stability of trivial equilibrium is discussed by analyzing distribution of the roots of the associated characteristic equation. It is found that Hopf bifurcation occurs from trivial equilibrium when the delay passes through critical values, then the critical values and their relations with system control parameters are obtained. The effect of time delay on the forced vibration of system is evaluated with numerical method. The results show that the amplitude of stable period motion increases, some complex dynamical behaviors such as quasi-periodic motion and multiple periodic motion may occur, and the system gets out of control with the increase of time delay. Therefore the effect of time delay ought to be taken into sufficient consideration in the design of system control loop.
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Source :
Hsi-An Chiao Tung Ta Hsueh/Journal of Xi'an Jiaotong University
ISSN: 0253-987X
Year: 2007
Issue: 7
Volume: 41
Page: 811-814
Cited Count:
WoS CC Cited Count: 0
SCOPUS Cited Count:
ESI Highly Cited Papers on the List: 0 Unfold All
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 7
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