Modelling of the gear backlash

Margielewicz, Jerzy; Gąska, Damian; Litak, Grzegorz

doi:10.1007/s11071-019-04973-z

Cited by 51 publications

(23 citation statements)

References 34 publications

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“…In the past 20 years, nonlinearities in geared systems caused by factors including backlash [2], time-varying mesh stiffness [3], friction [4] between the mating gear teeth, and the error of the gear transmission have been the main concerns of researchers. Neglecting the effects of dynamic vibrations, the quasistatic load sharing behaviours of PGTs have been extensively studied [5].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Xun

Dai

2021

Shock and Vibration

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In this paper, an analytical solution on the dynamic mesh forces of planetary gear trains (PGTs) is proposed by investigating a lumped-parameter model. By using the method of multiple-scales (MMS), closed-form expressions of mesh force under the effects of manufacturing and assembly errors are obtained. From these expressions, the effects of several key factors such as the tooth thickness error, pin position error, applied torque, support stiffness of sun gear, and tooth profile modifications (TPM) on dynamic load sharing behaviours are explored. Numerical integration is carried out to verify the validation of the proposed method, and the developed expressions are also validated by comparing the results with previously published predictions. The results for several examined PGT systems show that the key factors abovementioned affect the dynamic load sharing behaviours as both static and dynamic factors. An important new conclusion obtained by this work is that proper tooth profile modifications keep the dynamic load sharing factors almost equal to the results obtained under static conditions. This conclusion provides the possibility to simplify the dynamic analysis to the static analysis on the dynamic load sharing problems.

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Section: Introductionmentioning

confidence: 99%

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Xun

Dai

2021

Shock and Vibration

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“…Backlash and meshing stiffness are nonlinear factors for the gear system. To analyze the dynamic characteristics of the planetary gear system, the nonlinear dynamic model containing the tooth backlash [16][17][18] and time-varying meshing stiffness was established [19][20][21][22].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Analysis of a Fault Planetary Gear System under Nonlinear Parameter Excitation

Han

Liu

Liang

et al. 2021

Shock and Vibration

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In order to facilitate lubrication and avoid the gear stuck due to thermal expansion, there needs to be a gap between the tooth profiles. As a strong nonlinear factor, the backlash will affect the motion state of the planetary gear system. When the gear failures occur, the motion state of the system will accordingly change. In this study, the meshing stiffness of the gear pair with tooth tip chipping fault is calculated by combining the analytic geometry method and the potential energy method. Then, a new nonlinear dynamic model including tooth backlash, time-varying mesh stiffness, and manufacturing error is established to study the dynamic response of the system. The equations of motion are derived by the Lagrangian method and solved by the numerical integration method. Taking the excitation frequency and tooth backlash as the variation parameters, respectively, the dynamic characteristics of the system are analyzed by comparing the global bifurcation diagrams between the health system and the fault system, and the path of the system into chaos is revealed. At the same time, the local characteristics of the system are revealed through the phase diagrams and Poincaré maps. The results show that with the variation of excitation frequency and tooth backlash, the fault system presents a more complex motion state. This study can provide the theoretical support for dynamic design and fault diagnosis of planetary gear transmission systems under the environment of gear fault-prone.

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“…A change of gear parameters, making wheels in higher accuracy classes, the use of bevel teeth instead of straight ones, the use of high teeth [13,14,15,16,17]. The use of favorable bearing methods to dampen the dynamic actions transferred from shafts to bearing housings (use of slide bearings instead of rolling bearings) [18,19,20,21,22]. Shaping of the gear housing in order to minimize vibration at a preset forced gearing [1,23,24,25].…”

Section: Introductionmentioning

confidence: 99%

“…The use of favorable bearing methods to dampen the dynamic actions transferred from shafts to bearing housings (use of slide bearings instead of rolling bearings) [18,19,20,21,22].…”

Section: Introductionmentioning

confidence: 99%

The Effect of Selected Operational Factors on the Vibroactivity of Upper Gearbox Housings Made of Composite Materials

Figlus

Kozioł

Kuczyński

2019

Sensors

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This paper presents the results of laboratory tests in which evaluation was performed regarding the effect of selected operating factors on the vibroactivity of upper gearbox housings made of three different fiber reinforced polymer composite materials with diverse layouts (cross and random) and types of reinforcing fibers: glass fiber and carbon fiber. The results of tests for composite housings were compared with those for a steel housing. The tests showed that composite housings had a weight lower by more than 60% compared to the steel housing. A multisensor measuring system consisting of vibration acceleration transducers, a directional microphone and a data acquisition card with software was used for the study. Tests of the vibroactivity of upper gear housings were carried out at different loads and rotational speeds of toothed gears. The study showed that composite housings are less sensitive to changes in the rotational speed that steel housings. The tests showed that at a higher rotational speed of the gear transmission, housings made of composite materials had a comparable or lower level of vibration. Tests and analyses of the vibroactivity of housings performed at different loads of the gear allow the conclusion that composite housings, despite a considerably lower weight than steel housings, are less sensitive to changes in the load of the gearing.

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Modelling of the gear backlash

Cited by 51 publications

References 34 publications

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Dynamic Load Sharing Behaviours of Planetary Gear Trains and Parameter Study through Perturbation Analysis

Dynamic Analysis of a Fault Planetary Gear System under Nonlinear Parameter Excitation

The Effect of Selected Operational Factors on the Vibroactivity of Upper Gearbox Housings Made of Composite Materials

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