A Semi-Analytical Load Distribution Model for Cycloid Drives with Tooth Profile and Longitudinal Modifications

Zhang, Ting; Li, Xuan; Wang, Yawen; Sun, Lining

doi:10.3390/app10144859

Cited by 15 publications

(16 citation statements)

References 31 publications

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“…В связи с тем что по приводу кулачковый механизм является первым по отношению к кулисной группе, синтез начнем с него. В соответствии с работами [25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] можно принять перемещения центра ролика по циклоиде с ходом толкателя Н = 25 мм; длину коромысла L = 60 мм; угол циклоиды β = 180°. Он был принят исходя из предположения, что период переменной угловой скорости месильных валов должен быть равным половине их полного оборота.…”

Section: методика исследованийunclassified

Synthesis of the drive mechanism of the continuous production machine

Podgornyj¹,

Kirillov²,

Skeeba³

et al. 2023

Metal Working and Material Science

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Introduction. Existing mixing devices operate at a constant angular velocity of the working body. During this process, there are zones in which there may be no movement of material, which leads to a decrease in the quality of the finished product. When the working body moves with a variable angular rate, the inertia forces, when changing its sign, contribute to the creation of conditions under which the mixture will lose contact with the blade and move to new levels of movement, and this helps to improve the quality and intensity of the mixing process. The purpose of the work is to improve the quality of the processed mixture on horizontal blade (kneading) machine. Methods. Theoretical studies are carried out using the basic provisions of the theory of machines and mechanisms, structural and parametric synthesis, kinematic analysis, mathematical and computer simulation. Results and discussion. In accordance with the proposed method, the synthesis of the cam-rocker mechanism is carried out, which made it possible to select the main dimensions for the cam mechanism: the minimum radius and center distance. For the synthesis of the rocker group, the parameters of the synthesized cam mechanism are used and, using the main parameters for the rocker group (the size of the input link, the angle of the second arm initial position and rocker centre line, equal to 90°). The rocker arm span angle is obtained equal to 103°. As a result of the kinematic calculation, it is found that the dwell time of the working shafts is within 80°. The quality of the mixture can be assessed by the angle of the stagnation zone, which is formed during the movement of granular material. Under static conditions, it is equal to 0.846°, and at variable angular rate — 0.550°. It is theoretically confirmed that inertial forces that change sign four times in one cycle will provide shaking and rebound of the mixed mass from the blades, which, in turn, will significantly improve the quality of the mixture.

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Section: методика исследованийunclassified

Synthesis of the drive mechanism of the continuous production machine

Podgornyj¹,

Kirillov²,

Skeeba³

et al. 2023

Metal Working and Material Science

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“…The cycloid planetary reducer is widely used in space craft, modern robot and construction machinery. In order to improve the transmission efficiency, life and smoothness of operation, the studies focus on the aspects of manufacturing processes [1,2], force analysis [3][4][5], meshing characteristics [6,7], novel structure [8,9] and parts optimization [10][11][12]. Most of these researches need a virtual model to verify the theoretical analysis, which can save the cost of experiments.…”

Section: Introductionmentioning

confidence: 99%

Machining-Oriented Contact Analysis Based on the Modeling of the RV Cycloid Planetary Reducer

Yang,

Luo,

Luo

et al. 2024

Advances in Transdisciplinary Engineering

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A RV cycloid planetary reducer used in the excavator chassis is studied. A contact model based on impulse function is proposed to define the constraint between the contact parts during the working condition. The contact parameters in the contact model includes: Contact stiffness, index of force, damped coefficient and depth of penetration. Among them the unique undetermined one is contact stiffness, which is studied under two working conditions. These conditions are Convex-Convex Contact (pin-top of cycloid) and Convex-Concave Contact (pin-dedendum of cycloid). Analysis of the contact parameters indicates that the contact stiffness is affected by the contact thickness. The performance of the reducer part material must satisfy these parameters. Then a dynamic model of the RV cycloid planetary reducer is built, in which the contact force model is utilized to realize the constraint of pin-cycloid wheel, planetary wheel-sun wheel. The simulate results of idle load and full load indicate that the deviation of output draft angular velocity between simulation and theoretical is 0.83%. The work envelope of the center of the cycloid mass is a circle, and the circle radius is eccentric distance of the two cycloids. The simulation of contact moment between the pins and cycloid reveals only six contacts exist at any instant, and the maximum moment appears at the middle contact pair. This contact constraint model can be used to direct the machining of the wheels and the process of reducer assembly.

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“…At the same time, the roughness of the contact surfaces is brought to a level in the order of Ra 0.8-1.6 µm. The shape of the cycloid profile of the tooth also influences the working capacity of the mechanism in both longitudinal [7] and transverse [8,9] directions. The cycloid profile modification allows errors to be compensated for in the geometry of the cycloid engagement and the power characteristics to be enhanced [7,10].…”

Section: Introductionmentioning

confidence: 99%

“…The shape of the cycloid profile of the tooth also influences the working capacity of the mechanism in both longitudinal [7] and transverse [8,9] directions. The cycloid profile modification allows errors to be compensated for in the geometry of the cycloid engagement and the power characteristics to be enhanced [7,10]. In particular, authors [7] note that, when correcting the cycloid profile, the contact voltage changes on average by several tens of megapascals.…”

Section: Introductionmentioning

confidence: 99%

“…The cycloid profile modification allows errors to be compensated for in the geometry of the cycloid engagement and the power characteristics to be enhanced [7,10]. In particular, authors [7] note that, when correcting the cycloid profile, the contact voltage changes on average by several tens of megapascals. These design requirements cause certain technological challenges and increase the manufacturing time of such parts.…”

Section: Introductionmentioning

confidence: 99%

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Research on the Possibility of Lowering the Manufacturing Accuracy of Cycloid Transmission Wheels with Intermediate Rolling Elements and a Free Cage

et al. 2021

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Purpose: In the present work, different combinations of fits and accuracies, in relation to the profiles of mating parts, have been analysed in order to assess the degree of the engagement of transmissions that contain intermediate rolling elements. The aim of this work is to determine which fits have decreased accuracy, but nevertheless provide a minimum manufacturing clearance for the transmission engagement in order to reduce the cost of parts production. Methods and materials: Considering the normal probabilistic distribution law in relation to the obtained dimensions of the manufacturing equipment, a combination of fits were selected using the incomplete interchangeability method, taking into account the peculiarities of the cycloid engagement in transmissions with intermediate rolling elements (IRE). Results: Having studied various combinations of fits of parts that are engaged in transmissions with intermediate rolling elements and a free cage (IREFC), a combination of fits for a “ring, rolling-element cam” were determined, in which a technological clearance of 3 µm is formed in the engagement. At the same time, cycloid disk profiles are manufactured according to the 9th tolerance grade, which reduces the laboriousness and cost of the production. Discussion. When reducing the manufacturing accuracy of cycloid disks, it is possible to obtain both very ample clearances and significant negative allowances. For example, having manufactured a ring with the H9 fit, rolling elements with h6 and a cam with js9, the maximum manufacturing clearance can reach 0.086 mm, while the clearance limits vary from 0.025 mm to 0.061 mm. Additionally, if mating parts are manufactured using a combination of K9-h6-js9 fits, a negative allowance varying from 0.014 mm to 0.026 mm will emerge in the engagement. Both described cases are unacceptable because both ample clearances and large negative allowances will negatively influence the working capacity of the mechanism. However, it is possible to select a combination of fits using the 9th tolerance grade of the basic parts, by which the parts will contact in the range from a small negative allowance of 1 µm to a clearance of 3–4 µm. Furthermore, if this is considered, taking into account the machine settings, it is possible to obtain parts according to the 9th accuracy tolerance grade and, at the same time, provide a clearance in the engagement that is almost equal to zero. Moreover, such a combination of fits is relevant for any transmission with IRE. This is a positive result because it reduces the laboriousness when manufacturing parts and, at the same time, provides high accuracy of the mechanism. Conclusions: It has been established that when lowering the accuracy of manufacturing transmission parts with IRE, both clearances and negative allowances may occur in the engagement, depending on the combination of fits. At the same time, it is possible to select such a combination of fits, by which the parts manufactured according to the 9th tolerance grade, will provide almost zero clearance of the engagement of the transmission. In this way, it is possible to reduce the cost of manufacturing the parts for gears with intermediate rolling elements and, at the same time, maintain a high accuracy of the transmission mechanism.

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A Semi-Analytical Load Distribution Model for Cycloid Drives with Tooth Profile and Longitudinal Modifications

Cited by 15 publications

References 31 publications

Synthesis of the drive mechanism of the continuous production machine

Synthesis of the drive mechanism of the continuous production machine

Machining-Oriented Contact Analysis Based on the Modeling of the RV Cycloid Planetary Reducer

Research on the Possibility of Lowering the Manufacturing Accuracy of Cycloid Transmission Wheels with Intermediate Rolling Elements and a Free Cage

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