scholarly journals Narrow-Band Excitation of Hysteretic Systems

1997 ◽  
Vol 4 (4) ◽  
pp. 241-250 ◽  
Author(s):  
W.Q. Zhu ◽  
C.D. Huang ◽  
T.T. Soong
Keyword(s):  
Natural Frequency ◽  
Narrow Band ◽  
Digital Simulation ◽  
Central Frequency ◽  
Stationary Response ◽  
Hysteretic Systems ◽  
Non Gaussian ◽  
Range Of Values

The stationary response of smooth and bilinear hysteretic systems to narrow-band random excitations is investigated by using the quasistatic method and digital simulation. It is shown that the response is qualitatively different in different ranges of values of the ratio of the excitation central frequency to the natural frequency of the system. In the resonant zone, the response is essentially non-Gaussian. For bilinear hysteretic systems with strong yielding, stochastic jumps may occur for a range of values of the ratio between nonresonant and resonant zones.

Dynamics Response of a Hysteretic Structure Under Random Excitations

1993 ◽  
Author(s):  
Ismail I. Orabi
Keyword(s):  
White Noise ◽  
Transition Probability ◽  
Digital Simulation ◽  
Gaussian White Noise ◽  
Vertical Acceleration ◽  
Transition Probability Density ◽  
Vertical Excitation ◽  
Nonstationary Response ◽  
Dynamics Response ◽  
Range Of Values

Abstract The response of a hysteretic structure under horizontal and vertical random excitations is considered. The excitations are modeled by segments of stationary and nonstationary Gaussian white noise and filtered white noise processes. The linearization technique is used and the moments equations of the responses are evaluated. The transition probability density of the response is described and the associated second moment equations are derived. The transient and nonstationary response statistics for a range of values of parameters are obtained. A Monte-Carlo digital simulation study is performed. The results are compared with the theoretical findings and good agreements is observed. Particular attention is given to the amplification effects of the vertical acceleration. It is shown that the effect of the vertical excitation is usually insignificant, unless the load coefficient is quite large.

Stochastic Response of Hysteretic Systems to Narrow-Band Excitation

1994 ◽  
Vol 61 (1) ◽  
pp. 211-213
Author(s):  
W. Q. Zhu ◽  
C. D. Huang ◽  
T. T. Soong
Keyword(s):  
Narrow Band ◽  
Stochastic Response ◽  
Hysteretic Systems

Robust detector for narrow‐band signals in non‐Gaussian noise

1983 ◽  
Vol 74 (2) ◽  
pp. 527-533 ◽  
Author(s):  
Jung Gil Shin ◽  
Saleem A. Kassam
Keyword(s):  
Gaussian Noise ◽  
Narrow Band ◽  
Non Gaussian

scholarly journals Response of Van Der Pol’s Oscillator to Random Excitation

1959 ◽  
Vol 26 (3) ◽  
pp. 345-348
Author(s):  
T. K. Caughey
Keyword(s):  
Spectral Density ◽  
Natural Frequency ◽  
Narrow Band ◽  
Random Excitation ◽  
Square Root ◽  
Mean Square ◽  
Root Mean Square Amplitude ◽  
Periodic Term ◽  
Noise Term ◽  
Band Noise

Abstract This paper considers the response of Van der Pol’s oscillator to random excitation. It is shown that the output of the oscillator consists of a periodic term, plus a narrow band noise term centered at the natural frequency of the oscillator. The root-mean-square amplitude of this noise term is shown to be proportional to the square root of the spectral density of the excitation, and inversely proportional to the amplitude of self-oscillation.

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