Influences of friction and mesh misalignment on time-varying mesh stiffness of helical gears

Han, Lin-Hai; Qi, Houjun

doi:10.1007/s12206-017-0602-6

Cited by 37 publications

(12 citation statements)

References 22 publications

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“…According to the above detailed description of the calculation process of the TE and As shown in Figure 5a, when the cycloid gear is in the theoretical meshing position, there is a different initial clearance (• • • , c t−2 , c t−1 , c t , c t+1 , c t+2 , • • • ) between the cycloid gear and each pin due to the influences of the PMs, MEs, and AEs. In published works, the slicing method has been widely used to calculate the mesh stiffness of a helical gear pair [32][33][34][35][36]. According to the error tooth surface model proposed in Section 2, the cycloid gear and pin can also be regarded as composed of n 1c and n 1p slices, respectively, and each slice is composed of n 2c and n 2p elements (see Figure 2a).…”

Section: Calculation Principle Of Transmission Error and Backlashmentioning

confidence: 99%

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Liu

Shi

et al. 2021

Applied Sciences

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Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.

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Section: Calculation Principle Of Transmission Error and Backlashmentioning

confidence: 99%

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Liu

Shi

et al. 2021

Applied Sciences

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“…Friction in the engagement also plays a non-negligible role since the relative sliding velocity changes as the contact point passes through the pitch point possibly increasing gear vibration [86]. A method to consider friction in the calculation of the mesh stiffness is shown in [87], while its effects as an excitation source are especially evident along the off-line-of-action direction as highlighted in [88,89]. Manufacturing errors not only influence the MTE and hence the STE, but are directly involved in the dynamics as experimentally shown in [90] and more recently in [91], while the effect of shaft balancing, positioning and alignment of the gear pairs has been analyzed in [92].…”

Section: Other Sourcesmentioning

confidence: 99%

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Bruzzone

Rosso

2020

Machines

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In this paper, a review of the evolution of the study of cylindrical gear dynamics is presented. After a brief historical introduction to the field, the first attempts to describe the complex interactions in those systems are analyzed introducing the dynamic factor and the first methodologies used to compute it. Next, the sources of excitation in geared systems are analyzed in detail and the models of the various contributions are discussed. Then, the paper focuses on the use of those sources in several dynamic models which are wildly different in terms of scope, applicability, complexity and methodology employed, ranging from simple analytical models, to lumped masses models up to multibody and finite element models. Finally, an outlook to the future evolution of the field is given and conclusions are drawn.

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“…Han L et al. 13 designed an effective calculation modus to solve the meshing stiffness of helical gears. Xu XY et al.…”

Section: Introductionmentioning

confidence: 99%

“…Mo S et al 12 advanced the herringbone planetary gear drive system to explore several errors affecting the load distribution. Han L et al 13 designed an effective calculation modus to solve the meshing stiffness of helical gears. Xu XY et al 14 discovered the impacts of the modified factors on the transmission error.…”

Section: Introductionmentioning

confidence: 99%

Research on dynamic load sharing characteristics of double input face gear split-parallel transmission system

Song

Zhao

et al. 2021

Proceedings of the Institution of Mechanical Engineers, Part C:

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The face gear power-split system has huge superiorities over the traditional transmission form in the application of modern rotorcraft, and it has become the research trend of the industry in recent years. Thus this paper took the double input face gear split-parallel transmission system used in the rotorcraft as the research target, and established its dynamics model through the lumped parameter theory. Based on the Newtonian second law, the dynamics equations were built and solved to gain the meshing forces and load sharing coefficients of the transmission system. Simultaneously, the impacts of the eccentric errors, support stiffness, and torsional stiffness on the load sharing characteristics were studied. The results show that the meshing forces and load sharing coefficients of each gear pair have periodic changes; the eccentric errors of each drive stage gear have only a significant effect on the corresponding drive stage. Moreover, the changes in the support stiffness of the split-torque shafts and double gear shafts mainly affect the load distribution of the parallel stage, and the shaft torsional stiffness is less sensitively to maintain load balance. In addition, the increment of the shaft stiffness increases the load sharing coefficients of the corresponding gear pairs.

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Influences of friction and mesh misalignment on time-varying mesh stiffness of helical gears

Cited by 37 publications

References 22 publications

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Sources of Excitation and Models for Cylindrical Gear Dynamics: A Review

Research on dynamic load sharing characteristics of double input face gear split-parallel transmission system

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