Determination of Real Clearances Between Cycloidal Speed Reducer Elements by the Application of Heuristic Optimization

Kostić, Nikola; Blagojević, M; Petrović, Nenad; Matejić, Miloš; Marjanović, Nenad

doi:10.21278/tof.42102

Cited by 16 publications

(4 citation statements)

References 23 publications

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“…Literature [36] uses the heuristic optimization method to determine the actual gap between components of the cycloid-pin gear reducer considering machining error. Literature [7], through analysis of the traditional calculation method of initial meshing clearance, uses the method of combining geometric analysis and TCA to obtain the side clearance di at any meshing position as follows:…”

Section: Loaded Contact Analysis (Ltca) Of Cycloid-pin Gearmentioning

confidence: 99%

Research on Loaded Contact Analysis and Tooth Wear Calculation Method of Cycloid–Pin Gear Reducer

Wang,

Wei,

Wang

et al. 2023

Lubricants

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This study establishes the geometric model of cycloid–pin gear meshing transmission based on the multi-tooth meshing characteristics of the cycloid speed reducer. The calculation and analysis of meshing motion parameters of the cycloid speed reducer are carried out. An integrated calculation flow is presented for solving the question of the loaded tooth contact of the cycloid speed reducer by using the elimination clearance method of gradual contact and the quasi-Hertz contact simulation of the tooth surface under loads. The loaded transmission error is obtained, and both the number of pins participating in the meshing and the contact area of tooth surfaces are determined. Using the regression formula of the wear coefficient, the dynamic wear coefficient is quickly solved on the instantaneous contact line of the tooth surface. Thereby, the wear distribution law of two tooth surfaces appears. The results show that there is a singular point in the wear of the pin teeth, with a maximum wear of 100 μm, that seriously affects the meshing accuracy of the tooth surface and thus affects the accuracy and lifespan of the reducer.

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Section: Loaded Contact Analysis (Ltca) Of Cycloid-pin Gearmentioning

confidence: 99%

Research on Loaded Contact Analysis and Tooth Wear Calculation Method of Cycloid–Pin Gear Reducer

Wang,

Wei,

Wang

et al. 2023

Lubricants

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show abstract

“…Studies in the field of cycloidal gearbox engineering deal with the subject of design issues [7][8][9][10][11][12][13], finite element analysis of the cycloidal gearbox parts [7,[13][14][15][16][17], kinematical analysis [16,18], applications in robotics [12,16,17,19], friction, lubrication and machining [20][21][22][23][24], measurements [25], efficiency [26,27], optimisation [8,28], contact modelling [29][30][31][32], backlash and design tolerances [9,30,[33][34][35] or vibration and dynamics [31,32,[36][37][38][39][40].…”

Section: Introductionmentioning

confidence: 99%

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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“…The cycloid disc performance is affected due to the difference between the actual cycloidal speed reducer elements and their theoretical ideal shape and dimensions, so that theoretical position of the components and clearances between them differ from the real contact conditions [10]. There are known kinematic relationships between the fabrication tolerance, drive parameters and performance indices, which are based on the tolerance and enable estimating the magnitude of the backlash of a given drive, as well as estimating the torque ripple [11].…”

Section: Introductionmentioning

confidence: 99%

Measurement of The Cycloidal Drive Sleeves and Pins

Zaręba

Mazur

Olejarczyk

et al. 2021

mech

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In the paper, an issue of CMM measurement strategy of the sleeves and pins designed for wear tests in the cycloidal drive. The measurement strategy was proposed, based on initial out-of-roundness measurement in scanning mode. Proposed approach ensured that the pin was measured along its entire 40 mm length with only small area of fixation ca. 5 mm left out, and all probing points for cylindricity deviation assessment were collected in one fixation. It was demonstrated that the cylindricity and roundness measurement results based on 8, 16 and 48 probing points provided sufficient data for further wear analysis. In some cases, the circles calculated from 4 points gave additional insights allowing to accept the part that otherwise might be possibly rejected.

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Determination of Real Clearances Between Cycloidal Speed Reducer Elements by the Application of Heuristic Optimization

Cited by 16 publications

References 23 publications

Research on Loaded Contact Analysis and Tooth Wear Calculation Method of Cycloid–Pin Gear Reducer

Research on Loaded Contact Analysis and Tooth Wear Calculation Method of Cycloid–Pin Gear Reducer

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

Measurement of The Cycloidal Drive Sleeves and Pins

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