An experimental and theoretical study of the dynamic behavior of double-helical gear sets

Ma, Kang; Kahraman, Ahmet

doi:10.1016/j.jsv.2015.04.008

Cited by 69 publications

(34 citation statements)

References 23 publications

(74 reference statements)

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“…Parker and Parker 2 researched the influence of torque by experiment to explore the relationship between system parameters and dynamic characteristics. Kang and Kahraman 3 and Sondkar and Kahraman 4 studied the dynamics characteristics of herringbone gear pair and transmission system through a combination of theory and practice. By studying the impact of pitch error and assembly error on dynamics characteristic of transmission system, Mo et al [5][6][7][8] studied the load sharing characteristics of main transmission system of aeroengine and wind power turbine.…”

Section: Introductionmentioning

confidence: 99%

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Zhang

Jin

et al. 2019

Proceedings of the IMechE

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The load sharing characteristics of the herringbone planetary transmission system are a key indicator for evaluating the bearing stability and reliability of each planet gear in the transmission system. The value of the load sharing coefficient is closely related to the manufacturing error and the assembly error in gear processing and assembly process. Therefore, it is indispensable to study the influence mechanism of these errors on the load sharing characteristics of the transmission system. Nevertheless, researches on the multi-coupling transmission error to the load sharing characteristics of herringbone planetary transmission system did not receive enough attention, but much of the single errors. Based on the centralized parameters theory and the Lagrange method, this research establishes a dynamic model for herringbone planetary transmission system and creatively proposes a study of multi-coupling error which consists of eccentric error, tooth profile error, stagger angle and assembly error. This work shows that the changing regulation of the load sharing characteristics with any one of the above errors is different. However, the load sharing characteristics become worse with the increase of multi-coupling error, in which the eccentric error plays a main role. Therefore, the error control should focus on eccentric error.

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Section: Introductionmentioning

confidence: 99%

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Zhang

Jin

et al. 2019

Proceedings of the IMechE

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“…Comparison of the results and the proximity of the responses in this figure indicate the right procedure of solving method in this study. Of course, because in some nodes there exist finite differences, indicating lack of some parameters in Kang and Kahraman, 19 these parameters are assumed in this study. Now that the authenticity of the equations and solution method are confirmed, these equations can be applied on a double-helical planetary gear system and assess the dynamics and vibrations of the system.…”

Section: Experimental Validation Through the Results Of Double-helicamentioning

confidence: 99%

“…In this model, both the mesh and bearing stiffness are of concern. In this model, six hypotheses are applied: the bodies of the sun, planet and ring gears and the carrier are rigid; the gear teeth at the mesh interfaces are in constant contact; the mesh stiffness of tooth pair are constant and flexibilities of mesh stiffness are modelled by linear springs; the planet gears are similar to one another; the left and right sides of double-helical gears are of the same in geometry and the frictional forces due to tooth sliding, 14,19,20 manufacturing errors and damping of the system are neglected.…”

Section: Dynamic Modelmentioning

confidence: 99%

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Study of gyroscopic effects on the dynamics and vibrations of double-helical planetary gear set

Khoozani

Poursina

Anaraki

2017

Proceedings of the IMechE

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Gyroscopic effects may change the stability, dynamic behaviour and vibratory responses of the systems at high-speed applications in a significant manner. In this study, a new linear time-invariant lumped mass model in three-dimensional space is developed with a high emphasis on gyroscopic effects for a double-helical planetary gear system. In the developed model, each member has six degrees of freedom where both the mesh and the bearing stiffness are considered. The forced responses, due to gear mesh transmission error excitations, are calculated through the modal summation technique. The natural modes are extracted from the corresponding eigenvalue problem for the undamped system. The obtained results indicate the reduction in most of the natural frequencies by applying the gyroscopic effects in double-helical planetary gear systems. By considering the gyroscopic effects in this newly proposed model, the root mean square (RMS) amplitudes of vibration are changed in different directions. To verify this developed model and solution method, the obtained natural frequencies and forced responses are compared with those obtained in other studies.

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“…ese errors affect the contact characteristics of gears, worsen the stability and bearing capability of gear transmission, and cause enormous noise and vibration. us, many scholars pay close attention to the prediction and control of gear vibration and noise in their transmission designs [1][2][3][4][5][6][7][8]. After an extensive study, some researchers have used the tooth profile modification to compensate the elastic deformation of gear teeth to reduce the gear vibration [9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Experimental and Theoretical Study of Gear Dynamical Transmission Characteristic Considering Measured Manufacturing Errors

Guo

Fang

2018

Shock and Vibration

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In the research of gear transmission, the vibration and noise problem has received many concerns all the times. Scholars use tooth modification technique to improve the meshing state of gearings in order to reduce the vibration and noise. However, few of researchers consider the influence of measured manufacturing errors when they do the study of tooth modification. In order to investigate the efficiency of the tooth modification in the actual project, this paper proposes a dynamic model of a helical gear pair including tooth modification and measured manufacturing errors to do a deterministic analysis on the dynamical transmission performance. In this analysis, based on the measured tooth deviation, a real tooth surface (including modification and measured tooth profile error) is fitted by a bicubic B-spline. With the tooth contact analysis (TCA) and loaded tooth contact analysis (LTCA) on the real tooth surface, the loaded transmission error, tooth surface elastic deformation, and load distribution can be determined. Based on the results, the time-varying mesh stiffness and gear mesh impact are computed. Taking the loaded transmission error, measured cumulative pitch error, eccentricity error, time-varying mesh stiffness, and gear mesh impact as the internal excitations, this paper establishes a 12-degree-of-freedom (DOF) dynamic model of a helical gear pair and uses the Fourier series method to solve it. In two situations of low speed and high speed, the gear system dynamic response is analyzed in the time and frequency domains. In addition, an experiment is performed to validate the simulation results. The study shows that the proposed technique is useful and reliable for predicting the dynamic response of a gear system.

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An experimental and theoretical study of the dynamic behavior of double-helical gear sets

Cited by 69 publications

References 23 publications

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Influence mechanism of multi-coupling error on the load sharing characteristics of herringbone gear planetary transmission system

Study of gyroscopic effects on the dynamics and vibrations of double-helical planetary gear set

Experimental and Theoretical Study of Gear Dynamical Transmission Characteristic Considering Measured Manufacturing Errors

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