Intelligent Recognition: Components of the Short‐Time Fourier Transform Vs. Conventional Approaches

Gelman, Leonid M.; Sanderson, M.L.; Thompson, Chris; Anuzis, Paul

doi:10.1002/0470094168.ch22

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The Bilinear System and Decrement Of The Free Oscillations1

Adaptation Of System Diagnosis1

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2009

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“…At the positive displacement, the stiffness decreases with the quantity Dk ¼ k C Àk S [1][2][3][4][5][6][7][8][9][10][11].…”

Section: The Bilinear System and Decrement Of The Free Oscillationsmentioning

confidence: 99%

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Adaptive diagnosis of the bilinear mechanical systems

Gelman

Gorpinich

Thompson

2009

Mechanical Systems and Signal Processing

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a b s t r a c tA generic adaptive approach is proposed for diagnosis of the bilinear mechanical systems. The approach adapts the free oscillation method for bilinearity diagnosis of mechanical systems. The expediency of the adaptation is proved for a recognition feature, the decrement of the free oscillations. The developed adaptation consists of variation of the adaptive likelihood ratio of the decrement with variation of the resonance frequency of the bilinear system. It is shown that in the cases of the frequency-independent and the frequency-dependent internal damping, the adaptation is expedient. To investigate effectiveness of the adaptation in these cases, a numerical simulation was carried out. The simulation results show that use of the adaptation increases the total probability of the correct diagnosis of system bilinearity.

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“…At the positive displacement, the stiffness decreases with the quantity Dk ¼ k C Àk S [1][2][3][4][5][6][7][8][9][10][11].…”

Section: The Bilinear System and Decrement Of The Free Oscillationsmentioning

confidence: 99%

“…The stiffness ratio k* is a basic diagnosis parameter [1][2][3][4][5][6][7][8][9][10][11]; the considered diagnosis is based on the difference in the stiffness ratios between the linear and the bilinear systems. According to Eq.…”

Section: Adaptation Of System Diagnosismentioning

confidence: 99%