Contact Analysis of Cycloidal-pin Gear of RV Reducer Under the Influence of Profile Error

Li, Tianxing; Wang, Guofeng; Deng, Xiaozhong; An, Xiaotao; Xing, Chunrong; Ma, Wensuo

doi:10.1088/1742-6596/1168/2/022095

Cited by 4 publications

(9 citation statements)

References 2 publications

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“…Its theoretical tooth profile is related to five basic parameters, the teeth number of cycloidal gear z c , the teeth number of pin gear z p , the eccentricity a , the roller radius r rp and the roller position r p . It can be expressed in coordinate system S c (x c , y c ) as follows [12,21]:…”

Section: Theoretical Design Profile Of Cycloidal-pin Gearmentioning

confidence: 99%

“…3, it can be seen that the control vertex and node vector of discrete profile points are the key steps of surface reconstruction [23]. By calculating the node vectors and solving the control vertices inversely, the actual tooth profile equation of cycloid gear with profile error can be obtained indirectly [12]. In order to simplify the calculation, the machining error in the direction of tooth width is where the {P i } are the control vertex, which are calculated based on the discrete tooth surface points or tooth profile errors.…”

Section: Effective Superposition Of Tooth Profile Errorsmentioning

confidence: 99%

“…cycloidal-pin gear drive, the minimum distance between the cycloidal gear profile and the pin tooth profile is defined as the initial meshing backlash [12], which can be optimized by numerical iteration. From the point of view of engineering reverse and numerical iteration, this method uses modified Newton method, forward-backward method and golden section method to optimize the initial meshing clearance of cycloidal-pin gear.…”

Section: Meshing Backlashmentioning

confidence: 99%

“…(19), the corresponding rotation angles of cycloidal gear and pin gear at each meshing instant can be obtained. On this basis, the transmission error of cycloidalpin gear pair can be calculated [12]:…”

Section: Transmission Errormentioning

confidence: 99%

“…Carlo et al [11] tuned a theoretical model of an innovative cycloidal speed reducer and predicted the operating behavior of the cycloid drive. In order to evaluate the influence of tooth profile error on the transmission accuracy of cycloidal-pin gear pair, Li et al [12] presented the tooth contact analysis of the digitized tooth surface and briefly analyzed the transmission error of cycloidal-pin gear pair under the influence of profile error. In the subsequent research work, Li et al found that the pitch error is also one of the important factors affecting the transmission accuracy.…”

Section: Introductionmentioning

confidence: 99%

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Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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The manufacturing error of cycloid gear is the key factor affecting the transmission precision and meshing characteristics of cycloidal-pin gear in RV reducer. Taking the RV cycloidal-pin gear pair transmission as the object, a meshing contact analysis method is proposed for RV cycloidal-pin gear transmission considering the influence of manufacturing error. The modified tooth profile of cycloid gear is effectively superimposed and transformed by taking the influence of tooth profile and pitch errors of cycloidal gear into consideration, and the theoretical contact analysis model of cycloidal-pin gear transmission is established. By analyzing and solving the meshing contact model, the characteristic parameters such as the meshing point position, meshing backlash and transmission error of cycloidal-pin gear between the meshing contact surfaces are obtained under the influence of manufacturing error, and the effective pre-control of the tooth profile and the meshing contact performance is realized. The verification analysis results show that the manufacturing error has a great influence on the transmission accuracy of RV cycloidal-pin gear, among which the tooth pitch error has the greatest influence on the transmission error, which is in a positive proportion. And the influence of tooth profile error on transmission error is second. The meshing contact analysis method considers the interactive influence of the manufacturing error and modification shape of tooth profile on the meshing contact status of RV transmission; the cycloidal tooth profile can be obtained which is more suitable for engineering practice. This analysis method can provide the theoretical support and technical means for profile modification design, motion accuracy improvement and load-bearing contact analysis of RV transmission.

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Section: Theoretical Design Profile Of Cycloidal-pin Gearmentioning

confidence: 99%

Section: Effective Superposition Of Tooth Profile Errorsmentioning

confidence: 99%

Section: Meshing Backlashmentioning

confidence: 99%

Section: Transmission Errormentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Tian

et al. 2020

J Braz. Soc. Mech. Sci. Eng.

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Multibody Dynamics Model of the Cycloidal Gearbox, Implemented in Fortran for Analysis of Dynamic Parameters Influenced by the Backlash as a Design Tolerance

Król

2023

Acta Mechanica Et Automatica

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In this study, dynamical parameters of the cycloidal gearbox working at the constant angular velocity of the input shaft were investigated in the multibody dynamics 2D model implemented in the Fortran programming language. Time courses of input and output torques and forces acting on the internal and external sleeves have been shown as a function of the contact modelling parameters and backlash. The analysis results in the model implemented in Fortran were compared with the results in the 3D model designed using MSC Adams software. The values of contact forces are similar in both models. However, in the time courses obtained in MSC Adams there are numerical singularities in the form of peaks reaching 500 N for the forces at external sleeves and 400 N for the forces acting at internal sleeves, whereas in the Fortran model, there are fewer singularities and the maximum values of contact forces at internal and external sleeves do not exceed 200 N. The contact damping and discretisation level (the number of discrete contact points on the cycloidal wheels) significantly affect the accuracy of the results. The accuracy of computations improves when contact damping and discretisation are high. The disadvantage of the high discretization is the extended analysis time. High backlash values lead to a rise in contact forces and a decrease in the force acting time. The model implemented in Fortran gives a fast solution and performs well in the gearbox optimisation process. A reduction of cycloidal wheel discretisation to 600 points, which still allows satisfactory analysis, could reduce the solution time to 4 min, corresponding to an analysis time of 0.6 s with an angular velocity of the input shaft of 52.34 rad/s (500 RPM).

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Multi-Objective Optimization Design of Cycloid-Pin Gears Based on RV Reducer Precision Transmission Performance

Zhao,

Han,

Tan

et al. 2024

Energies

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This paper aims to realize multi-objective optimization of cycloid-pin gears to improve the positioning accuracy and load-carrying capacity of the rotary vector (RV) reducer, via the consideration of backlash, transmission error, and torsional stiffness. Initially, the analytical models of the RV transmission backlash and transmission error are developed by using both purely geometrical and equivalent model methods individually. Based on the generalized Hooke’s law, a torsion angle model is established to characterize the torsional stiffness of the system, utilizing methods such as Hertzian contact theory and bearing stiffness models. Subsequently, employing the Monte Carlo method, extremum method, and quality loss function, mapping objective functions for dimensional accuracy (tolerance) and transmission performance (backlash, transmission error, and torsional stiffness) are constructed. The geometry dimensions, dimensional accuracy, and modification of the cycloid-pin gear are considered as design variables to create a multi-objective optimization model. The improved Parallel Adaptive Genetic Algorithm using Deferential Evolution (PAGA-DE) is used for multi-objective solutions. Through example calculations, the impact of cycloid-pin gear parameters on transmission performance before and after optimization is determined. The reliability of backlash after optimization within 1.5′ reaches 99.99%, showing an increase of 8.24%. The reliability of transmission error within 1′ reaches 98.52%, demonstrating an increase of 1.35%. The torsional angle is reduced by 8.9% before optimization. The results indicate that the proposed multi-objective optimization design method for cycloid-pin gears can achieve the goal of improving the transmission performance of the RV reducer.

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Contact Analysis of Cycloidal-pin Gear of RV Reducer Under the Influence of Profile Error

Cited by 4 publications

References 2 publications

Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Meshing contact analysis of cycloidal-pin gear in RV reducer considering the influence of manufacturing error

Multibody Dynamics Model of the Cycloidal Gearbox, Implemented in Fortran for Analysis of Dynamic Parameters Influenced by the Backlash as a Design Tolerance

Multi-Objective Optimization Design of Cycloid-Pin Gears Based on RV Reducer Precision Transmission Performance

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