Decoupling analysis on nonlinear system based on the modified generalized frequency response functions

Xiao, Bin; Gao, Chao; Liu, Zhigang

doi:10.1016/j.ymssp.2013.05.015

Cited by 8 publications

(7 citation statements)

References 31 publications

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“…The GFRFs are a series of multi-dimensional complex functions of frequencies representing the frequency domain characteristics of nonlinear systems with different orders of nonlinearity. Since proposed in late 1950s, the GFRFs have been exploited to analytically study weakly nonlinear systems [4] and to qualitatively evaluate the nonlinear characteristics of some mechanical, sensor, and bioengineering systems [5][6][7]. However, due to the multidimensional nature of the GFRFs, it is still rare to see the application of the GFRFs to literally resolve more complicated engineering problems.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

Zhu

Lang

Mao

et al. 2022

Mechanical Systems and Signal Processing

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Section: Introductionmentioning

confidence: 99%

Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

Zhu

Lang

Mao

et al. 2022

Mechanical Systems and Signal Processing

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“…On the other hand, vibrations transfer much information. A wide range of frequency capacities and non-destructive methods of vibration measurement are commonly used in machine monitoring systems [ 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 ].…”

Section: Introductionmentioning

confidence: 99%

“…Applications of vibration methods in monitoring the condition of motor vehicle systems are more and more often presented [ 8 , 9 , 10 , 11 ]. Many publications focus on new advanced signal processing methods in order to recognize the condition of a technical object [ 12 , 13 , 14 , 15 , 16 , 17 , 18 ]. The paper [ 12 ] presents an application of generalised entropy and fractal diagnostic models of mechanical vibration signals.…”

Section: Introductionmentioning

confidence: 99%

“…Very often, in signal processing, multivariate analyzes, including time-frequency transformations, are used [ 14 , 15 , 16 ]. This enables the observation of time-varying nonstationary signal components of nonlinear systems [ 17 , 18 ]. An interesting approach by applying TRIZ methodology for vibration condition has been presented in [ 19 ].…”

Section: Introductionmentioning

confidence: 99%

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Research on the Applicability of Vibration Signals for Real-Time Train and Track Condition Monitoring

Celiński

Burdzik

Młyńczak

et al. 2022

Sensors

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The purpose of this research was to analyze the possibilities for the application of vibration signals in real-time train and track control. Proper experiments must be performed for the validation of the methods. Research on vibration in the context of transport must entail many of the different nonlinear dynamic forces that may occur while driving. Therefore, the paper addresses two research cases. The developed application contains the identification of movement and dynamics and the evaluation of the technical state of the rail track. The statistics and resultant vector methods are presented. The paper presents other useful metrics to describe the dynamical properties of the driving train. The angle of the resultant horizontal and vertical accelerations is defined for the evaluation of the current position of cabin. It is calculated as an inverse tangent function of current longitudinal and transverse, longitudinal and vertical, transverse, and vertical accelerations. Additionally, the resultant vectors of accelerations are calculated.

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“…e research of random dynamic system uncertainty originated from the stochastic finite element method (SFEM) applies the Monte Carlo simulation (MCS) method to the structural finite element analysis (FEA) process and repeats FEA to the model through specific samples [1,2]; consequently, the characteristics of the statistical distribution of the random response are obtained. For determined structural dynamic systems, extensive research regarding vibration analysis has been carried out, such as decoupling analysis on the nonlinear system [3,4], analysis on vibration characteristics and response of structures, and study on the vibration transmission path.…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion

Xiao

Zhou

Gao

et al. 2020

Shock and Vibration

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A vibration transfer analysis method based on polynomial chaos expansion (PCE) is proposed in this study and is used to analyze the stochastic dynamic compliance of uncertain systems with the Gaussian distribution. The random dynamic compliance is established by utilizing mode superposition on the system as the parameters of system uncertainties are regarded as input variables. Considering the asymptotic probability density function of mode shape, the dynamic compliance is decomposed into the mean of mode shape and the subsystem represented as an orthogonal polynomial expansion. Following this, the vibration transmission analysis approach is proposed for the random vibration. Results of a numerical simulation carried out employing the PCE approach show that broad-band spectrum analysis is more effective than narrow-band spectrum analysis because the former jump of the dynamic compliance amplitude is weakened. This proposed approach is valid and feasible, but since broad-band spectrum analysis loses some important information about the random vibration, both the aforementioned processes need to simultaneously be applied to analyze the random vibration transmission of low-medium frequency systems.

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Decoupling analysis on nonlinear system based on the modified generalized frequency response functions

Cited by 8 publications

References 31 publications

Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

Nonlinear output frequency response functions: A new evaluation approach and applications to railway and manufacturing systems’ condition monitoring

Research on the Applicability of Vibration Signals for Real-Time Train and Track Condition Monitoring

Vibration Analysis of Driving-Point System with Uncertainties Using Polynomial Chaos Expansion

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