Separation distance and static transmission error of involute spur gears

Tse, David K.; Lin, Hsiang Hsi

doi:10.2514/6.1992-3490

Cited by 15 publications

(10 citation statements)

References 3 publications

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“…In addition, the effects of the extended tooth contact will have a great influence on the TVMS calculation when the torque and crack size are large. A new TVMS calculation model including the effect of extended tooth contact (i.e., the tooth is flexible) needs to be developed by calculating the deformations of the teeth [78].…”

Section: Discussion and Future Prospectsmentioning

confidence: 99%

Review on dynamics of cracked gear systems

Zeng

Feng

et al. 2015

Engineering Failure Analysis

275

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Section: Discussion and Future Prospectsmentioning

confidence: 99%

Review on dynamics of cracked gear systems

Zeng

Feng

et al. 2015

Engineering Failure Analysis

275

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“…In this paper, we utilize this method for evaluating the meshing stiffness and simulating the gear tooth as a cantilever beam starting from the root circle, as shown in Figure 1. Since this study only take the linear elastic deflection into account in the meshing stiffness calculation, the other factors such as the correction of fillet-foundation stiffness [9], Hertzian contact [10], and transmission errors [11] are ignored. For a pair of spur gears with contact ratio between the driving gear and the driven gear, according to the potential energy method [8,[12][13][14], the total mesh stiffness k of a pair of spur gears can be expressed as follows:…”

Section: Model Formulation For Tooth Pitting Andmentioning

confidence: 99%

“…Besides, for the normal distribution function in Equation (11), the 3σ criterion is used to describe the distribution areas of pits in this study, which means that in the direction of tooth height, 99.73% of the pits appear in the field of μ − 3σ ≤ x i ≤ μ + 3σ. Therefore, μ and σ can be calculated as follows:…”

Section: Model Formulation For Tooth Pitting Andmentioning

confidence: 99%

Research on Meshing Stiffness and Vibration Response of Pitting Fault Gears with Different Degrees

Liu

Wang

2020

International Journal of Rotating Machinery

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In order to study the influence of pitting on meshing stiffness, the normal distribution function is used to simulate the pitting location of pitting gear, and the potential energy method is used to analyze the influence of pitting on meshing stiffness. At the same time, the meshing stiffness of pitting gears with different degrees is analyzed by finite element method, and the validity of the calculation results with potential energy method is verified. On the basis of meshing stiffness, the dynamic model of gear system is established, and the vibration response of pitting gear system with different degrees is analyzed. The results show that with the increase of pitting area, the meshing stiffness decreases; the closer the meshing area of the driving wheel is to the pitting line, the more the meshing stiffness decreases, resulting in the intensification of vibration response and periodic impact; and in the time history diagram, there is a small spurious frequencies near the meshing frequency; in the phase diagrams and the Poincare diagram, trajectory and discrete point aggregation area is gradually increased.

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“…The static transmission error, contact ratio, and time-varying mesh stiffness (TVMS) of actual gears will be different from those of theoretical considerations. [1][2][3][4] Therefore, one of the main goals for this paper is to take the effect of extended tooth contact into account to obtain TVMS accurately.…”

Section: Revised Model Tvms Considering the Effect Of Extended Tooth mentioning

confidence: 99%

Commentary on effects of tip relief on vibration responses of a geared rotor system

Pang

Wang

et al. 2014

Proceedings of the Institution of Mechanical Engineers, Part C:

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The purpose of the present work is to revise the model of Ma et al. ( Proc IMechE, Part C: J Mechanical Engineering Science 2014; 228(7): 1132–1154 ). In that work, emphasis is given to the effects of tip relief on the lateral-torsional coupling vibration responses of the system, in which the time-varying mesh stiffness (TVMS) is calculated without considering the extension of the meshing period of a teeth pair due to dynamic overloads. Moreover, the dynamic model of the geared rotor system does not take into account no-loaded static transmission error (NLSTE) caused by tooth profile modification. In the present paper, the effect of the extended tooth contact on TVMS is considered and the dynamic model of the geared rotor system is revised by introducing the NLSTE. Based on the revised model, TVMS, loaded static transmission error (LSTE), NLSTE, and vibration responses are determined. Finally, comparisons of TVMS, LSTE, and vibration responses between the original model and the revised model are performed. The results show that there are some differences for the vibration responses between the original model and the revised model, and the vibration amplitude of the latter is smaller than that of the former. Furthermore, the conclusion in the original paper that the tip relief is not effective in reducing the vibration at higher mesh frequency range is not consistent with the results in current work any more.

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Separation distance and static transmission error of involute spur gears

Cited by 15 publications

References 3 publications

Review on dynamics of cracked gear systems

Review on dynamics of cracked gear systems

Research on Meshing Stiffness and Vibration Response of Pitting Fault Gears with Different Degrees

Commentary on effects of tip relief on vibration responses of a geared rotor system

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