“…Indexes KR and Rm of the dynamic model under healthy and different abnormal conditions are obtained through Equations ( 22) and (17). Their values and changing trends are shown in Fig.…”
Section: The Evaluation Of Krmentioning
confidence: 99%
“…Y.L. Zhao [17] proposed a set of evaluated methods for rotor rub-impact involving the time synchronous averaging (TSA) filtering preprocessing, the NARX model establishment, the NOFRFs evaluation and the standard deviation analysis.…”
Misalignment is a more commonly encountered malfunction. It generates reaction forces and moments in the coupling and causes the rotor vibrates excessively. Generally, the vibration responses of the shaft misaligned rotor are comprised of nonlinear components. Some widely focused linear feature extraction methods are incapable to extract the key nonlinear information. Nonlinear Output Frequency Response Functions (NOFRFs) weighted contribution rate (WNOFRFs) is a nonlinear feature extraction method developed from NOFRFs, which is a convenient frequency-domain analytical method for nonlinear systems. WNOFRFs have been deeply researched and applied in rotor fault diagnosis. The present research introduces the concept of Kull Back-Leibler (KL) divergence to WNOFRFs to derive an improved nonlinear feature extraction method, the improved WNOFRFs based on KL divergence (INWKL). As a novel indicator extracted by NWKL, KR is denoted and employed to identify rotor shaft misalignment. Dynamic simulation and experimental verification indicate the INWKL method is effective and superior. And KR is more favorable due to its higher sensitivity and comprehensive representation of nonlinear characteristics of rotor shaft misalignment. Moreover, it has strong stability to speed fluctuation and can detect misaligned angles of the rotor system quantitatively.
“…Indexes KR and Rm of the dynamic model under healthy and different abnormal conditions are obtained through Equations ( 22) and (17). Their values and changing trends are shown in Fig.…”
Section: The Evaluation Of Krmentioning
confidence: 99%
“…Y.L. Zhao [17] proposed a set of evaluated methods for rotor rub-impact involving the time synchronous averaging (TSA) filtering preprocessing, the NARX model establishment, the NOFRFs evaluation and the standard deviation analysis.…”
Misalignment is a more commonly encountered malfunction. It generates reaction forces and moments in the coupling and causes the rotor vibrates excessively. Generally, the vibration responses of the shaft misaligned rotor are comprised of nonlinear components. Some widely focused linear feature extraction methods are incapable to extract the key nonlinear information. Nonlinear Output Frequency Response Functions (NOFRFs) weighted contribution rate (WNOFRFs) is a nonlinear feature extraction method developed from NOFRFs, which is a convenient frequency-domain analytical method for nonlinear systems. WNOFRFs have been deeply researched and applied in rotor fault diagnosis. The present research introduces the concept of Kull Back-Leibler (KL) divergence to WNOFRFs to derive an improved nonlinear feature extraction method, the improved WNOFRFs based on KL divergence (INWKL). As a novel indicator extracted by NWKL, KR is denoted and employed to identify rotor shaft misalignment. Dynamic simulation and experimental verification indicate the INWKL method is effective and superior. And KR is more favorable due to its higher sensitivity and comprehensive representation of nonlinear characteristics of rotor shaft misalignment. Moreover, it has strong stability to speed fluctuation and can detect misaligned angles of the rotor system quantitatively.
“…The experimental results demonstrated the effectiveness and advantages of this approach in condition monitoring of the rotor faults. Zhao et al 17 further researched a new condition monitoring approach for the bearing-rotor system by introducing data-driven to NOFRFs, which showed favorable performance in the evaluation of rub-impact faults. Cao et al 18 incorporated evidence theory into the analysis of NOFRFs and utilized this approach for fault diagnose in magnetism synchronous motors.…”
The rotor system during its operation is susceptible to various faults such as unbalance, rub-impact, crack, and misalignment, which usually induce the rotor system to exhibit nonlinear behavior. Some linear diagnosis methods are unable to extract nonlinear characteristics of the faulty rotor system. However, existing nonlinear fault diagnosis methods can describe the nonlinear characteristics but cannot quantitatively indicate the severity of rub-impact faults. To address this issue, this study combines the nonlinear output frequency response functions weighted contribution rate (WNOFRFs) and JS divergence to develop an improved fault diagnosis approach, WNOFRFs based on the JS divergence (WNOFRFs-JS). And a superior NOFRFs-associated index JSRm is developed to indicate the severity of faults. In addition, a sensitive factor is defined to evaluate the sensitivity of the index. The performance of this approach is verified by an established dynamic model and a rotor rub-impact experimental rig. The results prove the effectiveness and merits of this approach for the identification of rotor rub-impact. JSRm is especially sensitive to rub-impact and can also quantitatively detect the severity of faults. The present approach can accurately and quantitatively identify the rub-impact rotor system. These advantages enable the improved WNOFRFs to be applied in the fault diagnosis and condition monitoring of rotating machinery and even other nonlinear systems.
“…Lu et al (2022) put forward a dynamic model with the coupling of bearing and blade, and analyzed the bifurcation behavior. Zhao et al (2022) put forward a new model of the bearing system, studied the nonlinear vibration response of the system, and built a test and measurement device to complete the verification. Hou et al (2016) proposed a dynamic model of the rotor system and investigated the resonance phenomenon.…”
The raceway damage of the bearing restricts the operation stability of the system. Therefore, in the case of damage, simulating vibration response and predicting the performance of the shaft-cylindrical roller-bearing-pedestal system have high research value. According to the structural characteristics and the force transfer relationship, a dynamic model of the shaft-cylindrical roller-bearing-pedestal system is established in this paper. Then, the vibration response of the system is simulated by Runge–Kutta algorithm and measured by experiment. Finally, the effects of load and speed, damage size, and radial clearance on the dynamic performance are investigated. The simulation and measurement results indicate that the load F and the speed N can promote the enhancement of the vibration acceleration signal. As the damage length continues to increase, the ring in the Poincaré map begins to break, and the system transits from quasi-periodic to chaotic motion. The vibration signal is more affected by the damage size than by the damage location. When the radial clearance increases from 5 × 10−6 m to 15 × 10−6 m, the PTP value increases from 23.83 m·s−2 to 61.36 m·s−2.
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