“…Inaguma (2015) presented the friction torque in an internal gear pump, and the friction force between an outer circumference of an outer rotor and a body, which causes a significant loss, has been investigated. Zhou et al (2018) proposed a novel prediction method where gear friction coefficients with or without lubrication are developed with a computational inverse technique. The friction coefficients of different gear-rotor systems under different operating conditions were calculated in the above studies, and the effects of friction on the dynamic characteristics of the systems were discussed, but the increasing contact temperature caused by friction was ignored in the above studies.…”
Abstract. The tooth surface friction effects and the resulting
tooth surface contact temperature are important factors for the dynamic
characteristics of a gear-rotor system in compressed air energy storage (CAES). Therefore, a 3∘ of freedom finite-element model of the system is set up in which the lubrication state of the gear pair, tooth surface
friction, contact temperature of the tooth surface, backlash and unbalanced excitation are considered. The friction coefficient is calculated according
to the variation of the lubrication state, and the tooth surface contact temperature is derived based on the friction coefficient. The tooth profile deformation
caused by the change in the contact temperature is calculated, and the resulting effects on backlash and comprehensive meshing stiffness are
considered. The influence of rotating speed, torque load and viscosity of
lubricating oil on the system response is studied, and the variation of
the friction coefficient, flash temperature of the tooth surface, pressure of the tooth surface and so on are discussed in detail. The results indicate that when
the friction coefficient is derived according to the variation of the lubrication state, the variation of the contact temperature of the tooth surface
with rotating speed is quite different from that calculated based on a friction coefficient which is set artificially. This leads to a new variation
of the dynamic response of the gear-rotor system, and the method of stabilizing the operation of the system is put forward based on the optimization curve
for the operation of the system. The results obtained in this paper will
provide a reference for the study and design of a gear-rotor system in CAES.
“…Inaguma (2015) presented the friction torque in an internal gear pump, and the friction force between an outer circumference of an outer rotor and a body, which causes a significant loss, has been investigated. Zhou et al (2018) proposed a novel prediction method where gear friction coefficients with or without lubrication are developed with a computational inverse technique. The friction coefficients of different gear-rotor systems under different operating conditions were calculated in the above studies, and the effects of friction on the dynamic characteristics of the systems were discussed, but the increasing contact temperature caused by friction was ignored in the above studies.…”
Abstract. The tooth surface friction effects and the resulting
tooth surface contact temperature are important factors for the dynamic
characteristics of a gear-rotor system in compressed air energy storage (CAES). Therefore, a 3∘ of freedom finite-element model of the system is set up in which the lubrication state of the gear pair, tooth surface
friction, contact temperature of the tooth surface, backlash and unbalanced excitation are considered. The friction coefficient is calculated according
to the variation of the lubrication state, and the tooth surface contact temperature is derived based on the friction coefficient. The tooth profile deformation
caused by the change in the contact temperature is calculated, and the resulting effects on backlash and comprehensive meshing stiffness are
considered. The influence of rotating speed, torque load and viscosity of
lubricating oil on the system response is studied, and the variation of
the friction coefficient, flash temperature of the tooth surface, pressure of the tooth surface and so on are discussed in detail. The results indicate that when
the friction coefficient is derived according to the variation of the lubrication state, the variation of the contact temperature of the tooth surface
with rotating speed is quite different from that calculated based on a friction coefficient which is set artificially. This leads to a new variation
of the dynamic response of the gear-rotor system, and the method of stabilizing the operation of the system is put forward based on the optimization curve
for the operation of the system. The results obtained in this paper will
provide a reference for the study and design of a gear-rotor system in CAES.
“…The vibration caused by friction is one of the important tribological information of the friction pairs. The information of tribological system also include the friction coefficient [1,2], the friction torque [3], the surface morphology of the friction pair [4], the condition of the lubricating medium and the wear particles [5]. These are inconvenient methods to extract the tribological characteristics by friction coefficient or friction torque, which is difficult to measure under the condition of equipment operation.…”
For the purpose of extracting the frictional vibration characteristics of the friction pair during friction and wear in different friction states, the friction and wear tests of friction pair in different friction states were conducted on a testing machine. Higher-dimensional fractal and multifractal characteristics hidden in time series can be examined by multifractal detrended fluctuation analysis (MFDFA) method. The frictional vibration time-domain signals, the friction coefficient signals and the frictional vibration frequency-domain signals were analyzed and multifractal spectra were acquired by using the MFDFA algorithm. According to the spectra, the multifractal spectrum parameters of these signals were calculated to realize the quantitative characterization of frictional vibration characteristics in different friction states. The analysis shows that it is symmetric in the variation trends of the multifractal spectrum parameters of the frictional vibration signals and the friction coefficient data. Based on the multifractal spectrum parameters of frictional vibration, the principal component analysis (PCA) algorithm was applied to establish the friction state recognition method. The results show that the multifractal spectra and their parameters can characterize the frictional vibrations, and the friction state recognition can be realized based on the multifractal spectrum parameters of frictional vibrations.Symmetry 2020, 12, 272 2 of 22 friction pair [7]. Therefore, the analysis of frictional vibrations is a better means to monitor the friction and wear states of the friction pair in real time during the operation of equipment.The study of the frictional vibration has attracted many scholars' interest. Jaeyong et al. studied the nonlinear behaviors of the frictional vibration by using spring-mass model based on the smooth friction velocity curve. The results show that the nonlinearity and instability of friction may bring forth chaotic frictional vibrations according to the friction curve [8]. Liu et al. showed that the cross correlation coefficient of frictional vibration is opposite to the variations of friction coefficient [9]. Sun D. et al. pointed out that the change law of the defined frictional vibration parameter k is consistent with the change trends of the friction coefficient during the tests [10]. Rouzic et al. studied the squeal noises of a wiper/windscreen contacts. Based on Stebeck's law of friction coefficient, they proved that noises are caused by self-excited frictional vibration [11]. Wernitz and Hoffmann's analysis indicated that irregular frictional vibration states of friction brakes are mainly dominated by intermittency phenomena [12]. Nadim et al. pointed out that the frictional vibration of dry friction has nonlinear characteristics, and the surface morphology of the friction pair change due to abrasive wear and adhesive wear at the interface of the friction pair results in the change of friction coefficient, which is the source of the nonlinear frictional vibration [13]. Recentl...
“…Handschuh et al 11 explored and researched the effect of the oil-jet location and velocity (injection pressure) on the bulk temperature field of spiral bevel gears with numerous experiments that found the pinion base temperature should be a primary and prior consideration and the out-of-mesh jet nozzle position could be an optimal choice. Zhou et al 12,13 reached conclusions that the friction exerted a considerable influence on the bending and contact strength of a spiral bevel gear pair, especially under extreme operating conditions. The results have been verified by methods of theoretical and finite element method analysis implying an urgent need for better lubrication to lessen frictional resistance.…”
In aeroengine industry, the oil jet layout significantly influences lubrication of high-speed and heavy-load transmission gears, as there is only extremely limited meshing clearance for the oil stream jetting into and an inevitable blocking effect of rotating gears. A novel mathematical model for calculating the exact impingement depth of the lubrication oil jet on the spiral bevel gear surface has been established, and it contains comprehensive and detailed design parameters for the jet nozzle layout and meshing gears. Furthermore, under different jet layout parameters conditions, computational fluid dynamic numerical simulations for oil jet lubrication of an aeronautical spiral bevel gear pair were conducted and, then, the simulation results are compared with the impingement depths based on the mathematical model. The simulation results reveal that the oil volume fraction and oil pressure on the meshing area increase with the impingement depth, validating the effectiveness and reliability of the method using the impingement depth mathematical model for evaluating oil jet lubrication. Optimized oil jet layout parameters including the jet nozzle position, jet elevation angle, and jet azimuth angle have been determined and recommended, and they provide valuable theoretical design methods and technical guidance for oil jet lubrication optimization for various practical high-speed and heavy-load spiral bevel gears.
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