Dynamics of a hypoid gear pair considering the effects of time-varying mesh parameters and backlash nonlinearity

Wang, Jun; Lim, Teik C.; Li, Mingfeng

doi:10.1016/j.jsv.2007.07.042

Cited by 100 publications

(83 citation statements)

References 14 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The bearing natural frequency depends on the bearing preload, number of rollers and the bearing dynamic stiffness [44]. The effect of the bearing spectral contributions on the DTE has not hitherto been included in the previous gearing vibration problems [18,19,21,22]. The meshing frequency increases with vehicle speed and crosses the bearing natural frequencies or their modulation effects ( + /2).…”

Section: 1dynamic Transmission Error (Dte)mentioning

confidence: 99%

Effect of tapered roller bearing supports on the dynamic behaviour of hypoid gear pair differentials

Mohammadpour

Johns-Rahnejat

Theodossiades

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

Noise and vibration refinement, and energy efficiency are the key drivers in power train development. The final drive (differential) is a source of vibration concern and also contributes to power train inefficiency. To optimise differential characteristics for the key issues of refinement and efficiency detailed models of gear interactions as well as support bearing dynamics is required. This study reports on an integrated lubricated bearing and gear contacts with 8 degrees-of-freedom dynamic analysis (tribo-dynamic model). NonNewtonian shear behaviour of thin lubricant film conjunctions is taken into account the integrated tribo-dynamic analysis has not hitherto been reported in literature. The resultsshow that the transmitted vibration spectra from the system onto the differential casing are dominated by bearing frequencies rather than the meshing of gears. This effect becomes more significant with higher bearing preload which extends the bearing loaded region and thus reduces the bearing compliance effect. It is also revealed that sufficient bearing preload improves vibration refinement, but can lead to marginally reduced transmission efficiency.

show abstract

Section: 1dynamic Transmission Error (Dte)mentioning

confidence: 99%

Effect of tapered roller bearing supports on the dynamic behaviour of hypoid gear pair differentials

Mohammadpour

Johns-Rahnejat

Theodossiades

et al. 2015

Proceedings of the Institution of Mechanical Engineers, Part D:

View full text Add to dashboard Cite

show abstract

“…The two degrees-of-freedom (DOF) lumped parameter torsional vibration model of a hypoid gear pair as shown in Figure 1(a), which was also applied in earlier studies by the authors [6,7], is again assumed for the current study. This simplified representation is chosen over more complex system to allow for the study to focus on the behavior of the boundary between nonlinear jump phenomenon and linear dynamic response.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…To assist in the above-mentioned analysis, a nonlinear time-varying dynamic model with time-dependent mesh position, line-of-action mesh vectors, mesh stiffness, mesh damping, and backlash nonlinearity is proposed similar to the one employed by the authors in earlier studies [6,7]. Based on the model, different levels of torques and damping ratios are applied so that the transition condition between linear and nonlinear responses can be located.…”

Section: Introductionmentioning

confidence: 99%

On the Boundary between Nonlinear Jump Phenomenon and Linear Response of Hypoid Gear Dynamics

Wang

Lim

2011

Advances in Acoustics and Vibration

Self Cite

View full text Add to dashboard Cite

A nonlinear time-varying (NLTV) dynamic model of a hypoid gear pair system with time-dependent mesh point, line-of-action vector, mesh stiffness, mesh damping, and backlash nonlinearity is formulated to analyze the transitional phase between nonlinear jump phenomenon and linear response. It is found that the classical jump discontinuity will occur if the dynamic mesh force exceeds the mean value of tooth mesh force. On the other hand, the propensity for the gear response to jump disappears when the dynamic mesh force is lower than the mean mesh force. Furthermore, the dynamic analysis is able to distinguish the specific tooth impact types from analyzing the behaviors of the dynamic mesh force. The proposed theory is general and also applicable to high-speed spur, helical and spiral bevel gears even though those types of gears are not the primary focus of this paper.

show abstract

“…Gosselin et al [6] derived a general formula and applied it to the load distribution and transmission error of spiral bevel gear. Theodossiades et al [7,8] gave a model method to analyze the dynamic characteristic using timevarying stiffness and backlash nonlinearity. Wang et al [9,10] carried out the analysis and comparison from the gear pair to the gear system with the bearing.…”

Section: Introductionmentioning

confidence: 99%

Influence of Bearing Stiffness on the Nonlinear Dynamics of a Shaft-Final Drive System

Wan

Luo

2016

Shock and Vibration

View full text Add to dashboard Cite

The bearing stiffness has a considerable influence on the nonlinear coupling vibration characteristics of the shaft-final drive system. A 14-DOF nonlinear coupled vibration model was established by employing the lumped mass method so as to identify the coupling effects of the bearing stiffness to the vibration response of the shaft-final drive system. The engine's torque ripple, the alternating load from the universal joint (U-joint), and the time-varying mesh parameters of hypoid gear of the shaft-final drive system were also considered for accurate quantitative analysis. The numerical analysis of the vibration response of the coupled system was performed and the experimental measurements were carried out for the validation test. Results show that, at the given driving speed, improving the bearing stiffness can reduce the vibration response of the given coupled system; however, when the bearing stiffness increases to a critical value, the effects of bearing stiffness on the vibration reduction become insignificant; when the driving speed changes, the resonance regions of the coupled system vary with the bearing stiffness. The results are helpful to determine the proper bearing stiffness and the optimum control strategy for the shaft-final drive system. It is hoped that the optimal shaft-final drive system can provide good vibration characteristics to achieve the energy saving and noise reduction for the vehicle application.

show abstract

Dynamics of a hypoid gear pair considering the effects of time-varying mesh parameters and backlash nonlinearity

Cited by 100 publications

References 14 publications

Effect of tapered roller bearing supports on the dynamic behaviour of hypoid gear pair differentials

Effect of tapered roller bearing supports on the dynamic behaviour of hypoid gear pair differentials

On the Boundary between Nonlinear Jump Phenomenon and Linear Response of Hypoid Gear Dynamics

Influence of Bearing Stiffness on the Nonlinear Dynamics of a Shaft-Final Drive System

Contact Info

Product

Resources

About