An efficient method for vibration equations with time varying coefficients and nonlinearities

Yang, Jann N.; Xie, Jingsong; Chen, Gaige; Chen, Jinglong

doi:10.1177/14613484211025151

Cited by 4 publications

(3 citation statements)

References 33 publications

(48 reference statements)

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“…The continuous parameter modeling method is a common and mature modeling method that has been widely used by scholars 31,35,36 . Based on this method, we have established the vibration model of a single-stage and a three-stage blade disk rotor system in our recent publications 37,38 . Therefore, for the simplified model of the single-stage blade disk rotor system required in this paper, we will not give the proof of the formula in detail but only introduce the basic modeling process.…”

Section: Vibration Model Of Blade Disk Rotor Systemmentioning

confidence: 99%

The vibration response mechanism of a blade disk rotor system under the coupling effects of cracks and aerodynamic forces

Yang

Xie

Wang

et al. 2022

Sci Rep

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The important role of a dynamic model is to study the response characteristics of a system under different parameters or fault states. These response characteristics can be used in many aspects, such as condition monitoring and fault diagnosis. Usually, the response characteristics can be obtained through numerical analysis, but we do not know why such characteristics appear, which hinders our understanding and utilization of vibration. The innovation of this paper is to reasonably explain why such response characteristics appear. First, a simplified dynamic model of a typical blade disk rotor system is constructed by using the classical continuous parameter modeling method. Based on the dynamic model, for two structural forms of moving and stationary blades, the typical characteristics of the vibration response under the actions of aerodynamic force and blade cracks are analyzed by means of numerical solution. Then, from the perspective of kinematics and dynamics, the internal mechanism between the vibration responses and the excitations is revealed. Finally, based on Number Theory, the response characteristics and mechanisms of typical structures are summarized, and the general laws of responses with general structural forms are established.

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Section: Vibration Model Of Blade Disk Rotor Systemmentioning

confidence: 99%

The vibration response mechanism of a blade disk rotor system under the coupling effects of cracks and aerodynamic forces

Yang

Xie

Wang

et al. 2022

Sci Rep

View full text Add to dashboard Cite

show abstract

“…Continuous parameter modeling method has been a common and mature modeling method, which has been widely used by scholars [25,29,30]. Based on this method, we have established the vibration model of a single-stage and a three-stage blade disk rotor system in our recent publications [31,32]. Therefore, for the simplified model of single-stage blade disk rotor system required in this paper, we will not give the proof of the formula in detail, but only introduce the basic process of modeling.…”

Section: Modeling Of Normal Systemmentioning

confidence: 99%

The Mechanism Revealing and Law Explorating for the Nonlinear Response of Blade Disk Rotor System Under the Coupling Effects of Crack and Aerodynamic Force

Yang¹,

Xie²,

Wang³

et al. 2021

Preprint

Self Cite

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Blade disk rotor system is a typical structure of industrial equipments such as aeroengines and gas turbines. The research on the response characteristics and mechanism of the system under the coupling effects of aerodynamic force and blade crack is of great significance to the interpretation of vibration phenomena and diagnosis of faults. From the numerical solution based response characteristic analysis to the kinematics and dynamics based essential response mechanism revealing, from the model based special case study to the Number Theory based general law establishing, in this paper, the response mechanism of blade disk rotor system under the coupling effects of crack and aerodynamic force is studied comprehensively and deeply. Firstly, a simplified dynamic model of typical blade disk rotor system is constructed by using the classical continuous parameter modeling method. Based on the dynamic model, for two structural forms of moving and stationary blades, the typical characteristics of vibration response under the actions of aerodynamic force and blade crack are analyzed by means of numerical solution. Then, from the perspective of kinematics and dynamics, the internal mechanism between the vibration responses and the excitations are revealed. Finally, based on Number Theory, the response characteristics and mechanism of typical structures are summarized, and the general laws of responses with general structural forms are established.

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“…As the cab was a closed space, the vibration of the cab panel will directly affect the noise in the cab (Mohanty et al, 2000). In addition, the vibration of the panel at different positions had different effects on the noise inside the car, which were the contribution of the panel (Liu et al, 2011;Yang et al, 2016). Therefore, wavelet coherence was introduced into the analysis of panel contribution.…”

Section: Introductionmentioning

confidence: 99%

Tracing the source of unsteady-state low-frequency noise based on wavelet coherence analysis

Xie

Chen

Hu³

et al. 2022

Journal of Vibration and Control

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The original partial coherence analysis method can be used to analyze the contributions between different noise sources and field points under steady-state conditions. Nevertheless, coherence analysis cannot be used to deal with unsteady-state signals because the signals are time-varying. In this paper, the method of panel contribution under unsteady-state conditions based on wavelet coherence analysis is proposed to determine the largest noise contribution in the cab. First, the unsteady-state simulation signals are analyzed by wavelet coherence theory. This step not only verifies the effectiveness but also points out that wavelet coherence is more superior to crossed wavelet. Second, the measured unsteady-state signals of the eight measuring points are processed by time-frequency wavelet coherent analysis. According to the obtained two-dimensional time-frequency diagrams, the contribution of different panels to the noise of measuring field points in the continuous frequency range can be found out. Then, the total contribution coefficient sum of each panel in a certain frequency band is calculated. Finally, the above analysis results are used to determine the panels with the largest contribution to the cab noise. The corresponding noise reduction scheme is also proposed. The results show that the overall sound pressure level is obviously decreased after optimization. The noise in the cab is reduced by 4.5dBA ∼ 7dBA. The effectiveness of this method has been further verified by the above results.

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An efficient method for vibration equations with time varying coefficients and nonlinearities

Cited by 4 publications

References 33 publications

The vibration response mechanism of a blade disk rotor system under the coupling effects of cracks and aerodynamic forces

The vibration response mechanism of a blade disk rotor system under the coupling effects of cracks and aerodynamic forces

The Mechanism Revealing and Law Explorating for the Nonlinear Response of Blade Disk Rotor System Under the Coupling Effects of Crack and Aerodynamic Force

Tracing the source of unsteady-state low-frequency noise based on wavelet coherence analysis

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