Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

Liu, F.H.; Theodossiades, Stephanos; Bergman, Lawrence A.; Vakakis, Alexander F.; McFarland, D. Michael

doi:10.1016/j.mechmachtheory.2015.08.007

Cited by 40 publications

(24 citation statements)

References 13 publications

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“…In this regard, the role played by the lubricant in these gear pairs through its impact on the determination of dynamic loads in the contact areas is a crucial aspect and has been identified by the research community since the early works. Despite this recognition, accurate modeling of different damping mechanisms linked with the lubricant has received little attention in contrast to the large number of studies that have addressed the study of the dynamic behavior [1,18,23,26].…”

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confidence: 99%

Gear transmission rattle: Assessment of meshing forces under hydrodynamic lubrication

2019

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Noname manuscript No.(will be inserted by the editor) GEAR TRANSMISSION RATTLE: ASSESSMENT OF MESHING FORCES UNDER HYDRODYNAMIC LUBRICATIONA. Fernandez-Del-Rincon · A. Diez-Ibarbia · S. TheodossiadesReceived: date / Accepted: date Abstract The dynamic behavior of gear transmissions poses several challenges from the standpoint of design and requires the availability of more advanced models capable of simulating a wide range of operating conditions. In this paper, several formulations to represent efforts related to the lubricant in gear transmissions subjected to reduced torque levels has been assessed. Under these conditions, the lubrication regime is hydrodynamic and the dynamic behavior of the meshing contacts can happen in different scenarios depending on both the lubricant properties and operating conditions. Such problems are cumbersome in gear transmissions in which acoustic performance is a determining design factor, such as in car applications. In this regard, gear rattle is one of the subjects of concern by powertrain designers. In spite of several authors have approached this phenomena, the most recent interest is focused on the role played by the lubricant. The variety of fundamentals and aims of the developed models in this respect requires a better understanding of the effect taken into account by the different formulations in the accurate modeling of hydrodynamic lubrication in gears subjected to low torques. This is the reason why, in this work, several alternatives currently available in the literature to address the formulation of efforts in hydrodynamic regime was collected and presented. Such formulations were implemented in a transmission model previously developed by the authors which was used to simulate different operating conditions in order to assess the results obtained with each one of the considered formulations.

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Gear transmission rattle: Assessment of meshing forces under hydrodynamic lubrication

2019

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“…Theoretically, it is incorporated with the effects of both dry-contact and lubricant friction. However, lubricant friction has very minor impact on gear-pair torsional behaviors and the predicted motions are not prominent though different friction expressions [8,26]. Thus, a constant µ is still used in the current paper.…”

Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

Xiao

Luo

et al. 2020

Coatings

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Coatings can significantly improve the load-carrying performance of a gear surface, but how they affect the vibration characteristic of the system is an urgent issue to be solved. Taking into account the nonlinear factors like the variable mesh stiffness, friction, backlash, and transmission error, a six-degree-of-freedom spur gear transmission system with coatings is presented. Meanwhile, the finite element method is applied to acquire the time-varying mesh stiffness of the coated gear pair in the engagement process. With the support of the time-history curve, phase curve, Poincare map, and fast Fourier transform spectrum, the dynamic characteristics and the effects of the coating elastic modulus on vibration behaviors of a gear transmission system are minutely dissected by using a numerical integration approach. Numerical cases illustrate that the dynamic characteristic of a gear transmission system tends toward a one-period state under the given operating condition. They also indicate that, compared with softer coatings, stiffer ones can properly enhance the transmission performance of the coated gear pair. Numerical results are also compared with previous studies, and can establish a theoretical basis for dynamic design and vibration control of the coated gear transmission system.

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“…The solid stiffness and damping, which are relative invariant parameters, can be obtained by numerical identification from a finite [59,60]. And the lubricant stiffness and damping, deepened on the temperature and transmitted torque, can be obtained according to the paper [61]. For simplicity, a constant value for lubricant stiffness and damping is suggested in this paper.…”

Section: Numerical Validatementioning

confidence: 99%

Stability investigation of velocity-modulated gear system using a new computational algorithm

Liu

Zhang

2017

Nonlinear Dyn

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By considering the lubricant in gear system, one degree-of-freedom model is set up which incorporates the pinion's speed and the drag torque as the excitation sources. By introducing a permissible error (ε), a new computational algorithm using double-changed time steps is proposed in order to reduce the ill-conditioning arising from the numerical stiffness of the gear system and validated by comparison with Runge-Kutta-Fehlberg integration scheme. Then, the influences of the lubricant on the vibration of the gear system are analyzed. The results obtained in this paper indicate that the proposed numerical algorithm not only improves the accuracy of the solution, but also accelerates the calculation speed of the whole system. And according to the collision feature, the contributions of the lubricant on the system are totally different with different pinion's speed and drag torque. Next, by introducing the proposed computational algorithm into the Floquet theory, the stability analyses of the gear system are investigated under the different excitation sources, which demonstrates that the excitation sources significantly affect the operating instability regions. In practice, particular instabilities can be minimized by the proper selection of pinion's speed and drag torque, which can be adjusted according to the working requirements in advance.

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Analytical characterization of damping in gear teeth dynamics under hydrodynamic conditions

Cited by 40 publications

References 13 publications

Gear transmission rattle: Assessment of meshing forces under hydrodynamic lubrication

Gear transmission rattle: Assessment of meshing forces under hydrodynamic lubrication

Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

Stability investigation of velocity-modulated gear system using a new computational algorithm

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