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

Liu, Fuhao; Zhang, Liang; Yu, Xiaoli

doi:10.1007/s11071-017-3504-3

Cited by 10 publications

(3 citation statements)

References 58 publications

(77 reference statements)

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“…But this phenomenon is not obvious when the double pairs of teeth transits to the single tooth pair. Therefore, the stronger vibration and noise of the gear system generally occurs on the driving side [40]. Bifurcation diagram is an effective means to observe the nonlinear dynamic response of gear system dynamics.…”

Section: Resultsmentioning

confidence: 99%

Dynamic Analysis of Spur Gears System with Velocity-dependent Mesh Stiffness and Dynamic Force Increment

Liu

et al. 2023

Preprint

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The actual gear mesh process is dynamic and the driving speed is of a great significance for dynamic response, while its nonlinear effect in the evaluation of mesh stiffness has commonly ignored by many scholars. In this paper, a new nonlinear dynamic model for spur gear system considering dynamic force increment, together with the effect of velocity-dependent mesh stiffness is developed to obtain the dynamic response. An original computational algorithm for calculating velocity-dependent mesh stiffness based on analytical-FEM framework is proposed, whose correction is verified by finite element method. The steady-state solution of the gear system is studied analytically by numerical simulations. Changes in the dynamic responses in the time/frequency domains using the driving speed as the control parameter are examined, and the nonlinear relationship between the driving speed and the time-varying mesh stiffness is demonstrated. Numerical results are presented to illustrate and quantify the influence of velocity-dependent mesh stiffness and dynamic force increment on the dynamic characteristics of the spur gear system. The results presented in this study demonstrate the reasonable accuracy of velocity-dependent mesh stiffness, and provide a theoretical basis for the follow-up research and experiment in the field of spur gear system dynamics.

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Section: Resultsmentioning

confidence: 99%

Dynamic Analysis of Spur Gears System with Velocity-dependent Mesh Stiffness and Dynamic Force Increment

Liu

et al. 2023

Preprint

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“…From the perspective of electromechanical coupling, Jiang et al 9,10 revealed the influence of electromagnetic effects on the natural frequency of the gear system. Considering the role of lubrication, Liu et al 11 established a model of the gear system, and proposed a new calculation method to study the dynamic characteristics. Based on the finite element method theory, Ouyang et al 12 proposed a new gear-roller-bearing system dynamic model with time-varying characteristics and contact nonlinearity.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamics analysis of gear transmission system considering tooth surface friction and thermal deformation

Sheng

Sun

et al. 2023

Proceedings of the Institution of Mechanical Engineers, Part K:

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To make the gear better adapt to the high temperature environment, the effects of tooth surface friction and thermal deformation on the dynamic characteristics of the gear were studied. First, based on the basic theory of gear nonlinear dynamics, the backlash model is established considering the effects of thermal deformation. Then, an improved multi-degree-of-freedom nonlinear dynamic model of gears is established taking into account the effects of thermal deformation and friction. The effect of tooth surface friction and thermal deformation on the system motion state is analyzed. Finally, to better analyze the relationship between impact vibration and transmission efficiency, the percussion vibration index is introduced. Compared with the existing research, a gear multi-degree-of-freedom dynamic model is established by considering the influence of tooth surface friction and thermal deformation. The percussion vibration index is introduced as an indicator of gear running health. The research result can provide reference for the optimization and cooling of the gear transmission system.

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“…Actually, most of the solution algorithms available in the literature can not be immediately applied to examine this problem even used the ''stiff'' solvers, because the Jacobian matrix of the linearizing gear system is discontinuities and varying around different operation point [41]. Hence, it is vital important to develop a NCA which does not use the Jacobian matrix to avoid this ''stubborn'' as suggested in the paper [7,42].…”

Section: Introductionmentioning

confidence: 99%

Simulation of vibro-impact gear model considering the lubricant influence with a new computational algorithm

Liu

Zhang

Jiang

et al. 2018

J Braz. Soc. Mech. Sci. Eng.

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In this paper, a vibro-impact gear model incorporating the influences of the lubricant and backlash is formulated. Then, a new computational algorithm validated in comparison with the ''stiff'' solvers, by defining a transition area and adopting the double-changed time step, is proposed to identify the influences of the lubricant on the dynamic system. The results obtained in this paper indicate that the proposed numerical algorithm not only guarantees the precision of solutions, but also reduces the calculation speed of the whole system. The lubricant can potentially reduce the vibrations in the gear system, and the boundaries for double-sided impacts, single-sided impact and no impact are mainly dependent on the fluctuating driving torque and the stiffness of the lubricant. These results could provide a good source of information on the utilization of vibro-impact modeling and simulation for the study of spur gears dynamic performance, and quantification of the factors such as gear backlash, input power or torque fluctuations, lubrication, rattle, etc. In addition, the proposed numerical method could be used as a basic program of vibro-impact in Matlab environment. Keywords Gear system Á Computational algorithm Á Nonlinear vibration Á Gear backlash À;þ Maximum time step for lubricant and solid contact h p;g Rotational displacements of the pinion and gear

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

Cited by 10 publications

References 58 publications

Dynamic Analysis of Spur Gears System with Velocity-dependent Mesh Stiffness and Dynamic Force Increment

Dynamic Analysis of Spur Gears System with Velocity-dependent Mesh Stiffness and Dynamic Force Increment

Nonlinear dynamics analysis of gear transmission system considering tooth surface friction and thermal deformation

Simulation of vibro-impact gear model considering the lubricant influence with a new computational algorithm

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