Dynamic behavior analysis of spur gears with constant &amp; variable excitations considering sliding friction influence

Liu, Fuhao; Jiang, Hanjun; Liu, Shaona; Yu, Xiaoli

doi:10.1007/s12206-016-1103-8

Cited by 31 publications

(25 citation statements)

References 23 publications

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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%

“…where "sgn" and "mod" are the sign and modulus functions, as defined in [8,27,28]. φ P , φ B g , and φ D p are individually the involute outspread angles at points P, B g , and D p .…”

Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

“…The internal dynamic excitation of gear transmission systems includes variable-mesh stiffness, transmission error, and mesh impact [7,8]. In all of the sources mentioned above, the time-varying mesh stiffness is one of the most important excitation factors of vibration.…”

Section: Introductionmentioning

confidence: 99%

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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.

show abstract

Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

“…where "sgn" and "mod" are the sign and modulus functions, as defined in [8,27,28]. φ P , φ B g , and φ D p are individually the involute outspread angles at points P, B g , and D p .…”

Section: Nonlinear Dynamic Modelmentioning

confidence: 99%

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Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

Xiao

Luo

et al. 2020

Coatings

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“…In addition, the traveling wave vibrations occur more easily in the running gears due to a high meshing frequency, and the traveling wave vibration has been widely investigated in the field of rotating disks [14][15][16][17]. Many researchers focused on gear engagement dynamics using FEM [18,19], lumped parameters models [20][21][22][23][24] and experimental tests [18,[25][26][27]. FEM can capture accurately nonlinear dynamics but requires a well-defined geometry and a long calculation time.…”

Section: Introductionmentioning

confidence: 99%

On the Existence of Self-Excited Vibration in Thin Spur Gears: A Theoretical Model for the Estimation of Damping by the Energy Method

Wang

Yang³

et al. 2018

Symmetry

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The gear is a cyclic symmetric structure, and each tooth is subjected to a periodic mesh force. These mesh forces have the same phase difference tooth by tooth, which can excite gear vibrations. The mechanism of additional axial force caused by gear bending is shown and examined, which can significantly affect the stability of a self-excited thin spur gears vibration. A mechanical model based on energy balance is then developed to predict the contribution of additional axial force, leading to the proposed numerical integration method for vibration stability analysis. By analyzing the change in the system energy, the occurrence of the self-excited vibration is validated. A numerical simulation is carried out to verify the theoretical analysis. The impacts of modal damping, contact ratio, and the number of nodal diameters on the stability boundaries of the self-excited vibration are revealed. The results prove that the backward traveling wave of the driven gear as well as the forward traveling wave of the driving gear encounter self-excited vibration in the absence of sufficient damping. The model can be used to predict the stability of the gear self-excited vibration.

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“…Many factors such as the gear backlash [1][2][3], lubricant [4][5][6][7][8], timevariant meshing stiffness [9][10][11] and the fluctuation of the excitations [12][13][14][15] exert complicated influences on the vibration and noise of gears. Modeling for various gear systems has been conducted [14,16,17], including the interactions between the components [18,19] and also the influence of a particular parameter on the gear noise [8,[20][21][22][23][24].…”

Section: Introductionmentioning

confidence: 99%

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

Liu

Zhang

2017

Nonlinear Dyn

Self Cite

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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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Dynamic behavior analysis of spur gears with constant & variable excitations considering sliding friction influence

Cited by 31 publications

References 23 publications

Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

Nonlinear Dynamic Characteristic Analysis of a Coated Gear Transmission System

On the Existence of Self-Excited Vibration in Thin Spur Gears: A Theoretical Model for the Estimation of Damping by the Energy Method

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

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