Effect of extended tooth contact on the modeling of spur gear transmissions

Lin, Hsiang Hsi; Wang, Jifeng; Oswald, Fred B.; Coy, J. J.

doi:10.2514/6.1993-2148

Cited by 24 publications

(18 citation statements)

References 4 publications

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“…All vibration modes can be classified into torsional (R) and translational (T) modes, and the translational mode has two equal natural frequencies. is phenomenon agrees with the conclusion proposed by Lin et al [30].…”

Section: Resultssupporting

confidence: 93%

“…Defined as removing material from tooth surface as intended, TPM can be regarded as a kind of tooth profile error. Tooth separation distance E s is defined as the minimum distance of the tooth pair along the line of action in theoretical contact position [30]. Tooth separation distance equals zero if the tooth pair are in contact theoretically.…”

Section: Calculation Of Tesmentioning

confidence: 99%

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Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

Zhou

et al. 2019

Shock and Vibration

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This paper aims at investigating the effects of tooth profile modification (TPM) on the dynamic response of planetary gear train (PGT). A numerical model is carried out to calculate two major excitation sources of PGT, time-varying mesh stiffness (TVMS), and transmission errors (TEs). On this basis, a linear time-varying dynamic model of a PGT considering TVMS, TEs, and TPM is developed. Dynamic deviation factor is further introduced to describe the dynamic response of the PGT. In this paper, TPM is only applied to the external meshes firstly. Effects of TPM parameters, such as amount of TPM, normalized modification angle, and modification curve, on the excitation sources and dynamic response of the PGT are discussed in detail. Subsequently, investigation on the effects of TPM only applied to internal meshes is conducted. Finally, with the aim to obtain the optimal TPM for the minimization of dynamic load of PGT in both external and internal gear meshes, the genetic algorithm (GA) is employed. This research may shed light upon design optimization of PGT with respect to improvement of vibration performance by means of optimized TPM.

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Section: Resultssupporting

confidence: 93%

Section: Calculation Of Tesmentioning

confidence: 99%

Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

Zhou

et al. 2019

Shock and Vibration

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“…Sato, Umezawa, and Ishikawa [2] demonstrated experimentally that the minimum dynamic factor corresponds to gears with a contact ratio slightly less than 2.0 (1.95). The same result was found experimentally by Kahraman and Blankenship [3] and theoretically by Lin, Wang, Oswald, and Coy [4].…”

Section: Introductionsupporting

confidence: 87%

Static and Dynamic Transmissin Error in Spur Gears

Podzharov¹,

Syromyatnikov²,

Navarro³

et al. 2008

TOIMEJ

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Abstract:In high precision and heavily loaded spur gears the effect of gear errors is negligible, so the periodic variation of tooth stiffness is the principal cause of noise and vibration. High contact ratio spur gears could be used to exclude or reduce the variation of tooth stiffness. The analysis of static and dynamic transmission error of spur gears cut with standard tools of 20° profile angle is presented in this paper. A simple method to design spur gears with a contact ratio nearly 2.0 is used. It consists of increasing the number of teeth on mating gears and simultaneously introducing negative profile shift in order to provide the same center distance. Computer programs to calculate static and dynamic transmission error of gears under load have been developed. The analysis of gears using these programs showed that gears with high contact ratio have much less static and dynamic transmission error than standard gears.

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“…But in actual practice, extended tooth contact (ETC) [7,8] or off-line-of-action contact [9,10] occurs due to gear tooth deflection under load and the gear teeth come into contact earlier than and leave contact later than they are theoretically predicted to. Considering the effect of ETC, the mesh stiffness in the pre-mature and post-mature contact regions is gradually rather than abruptly varying with time, which would influence the parametric stability and dynamic response of the geared system significantly.…”

Section: Introductionmentioning

confidence: 99%

“…Considering the effect of ETC, the mesh stiffness in the pre-mature and post-mature contact regions is gradually rather than abruptly varying with time, which would influence the parametric stability and dynamic response of the geared system significantly. Presently, the effects of ETC on the dynamic response of a geared system have been analysed and discussed fully by Kasuba and Evans [11], Tse and Lin [7], Lin et al [8], Velex [12], and Vedmar and Henriksson [13]. However, it is surprising to find little work on the parametric stability for the geared system under the influence of ETC in the published literature.…”

Section: Introductionmentioning

confidence: 99%

Analysis of parametric stability for a spur gear pair system considering the effect of extended tooth contact

Han

2009

Proceedings of the Institution of Mechanical Engineers, Part C:

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In spur gear dynamic analysis, rectangular waves are often used to approximate the mesh stiffness alternating between one and two pairs of teeth in contact. But in actual practice, extended tooth contact (ETC) occurs due to gear tooth deflection under load. Considering the effect of ETC, the mesh stiffness in the pre-mature and post-mature contact regions is gradually rather than abruptly varying with time, which would influence the parametric stability of the geared system significantly. Therefore, research on parametric stability for a spur gear pair system considering the effect of ETC is carried out in this article. First, a torsional parametric vibration model for a spur gear pair system is established and the periodically time-varying mesh stiffness is approximated linearly by trapezoidal waveforms (with the effect of ETC) and rectangular waves (without the effect of ETC). Then, the Floquet theory for stability analysis (including two key elements: one is the derivation of state transition matrix (STM); the other is the stability criterion for parametric vibration system) is presented briefly. Based on these, the stabilities (stable and unstable regions) of a practically used high-speed and heavy-load spur gear pair with and without taking into account ETC are determined utilizing Floquet theory, respectively, and the differences between the two cases in three ranges of operating speeds for the system (low speed range, middle speed range, and high speed range) are contrasted in detail. In addition, various values of operating torques and mesh damping of the gear pair are also simulated and discussed for their influences upon unstable regions.

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Effect of extended tooth contact on the modeling of spur gear transmissions

Cited by 24 publications

References 4 publications

Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

Effect of Tooth Profile Modification on Dynamic Tooth Load of Planetary Gear Train

Static and Dynamic Transmissin Error in Spur Gears

Analysis of parametric stability for a spur gear pair system considering the effect of extended tooth contact

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