Design of a two-stage cycloidal gear reducer with tooth modifications

Lin, W. T.; Shih, Yi-Pei; Lee, Jyh‐Jone

doi:10.1016/j.mechmachtheory.2014.04.009

Cited by 70 publications

(39 citation statements)

References 11 publications

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“…Although the TPM increases the mean value of the TE, as shown in Figure 13e, the amplitude of the TE does not always increase with the TPM, particularly in the case of large loads. The results obtained in [9] also show that, if variables for compound modification are appropriately selected, a larger value of modification can still acquire smaller kinematic errors. It can be seen from Figure 13f that when the modification amount is less than 0.125 mm, the TPM has little effect on the amplitude of the TE.…”

Section: Influence Of Load Under Case 3 Modification Methodsmentioning

confidence: 74%

“…An angular modification needs to be used with other methods concurrently. In [9], based on a tooth contact analysis, the TE caused by different combinations of modifications is quantitatively analyzed. To reduce the impact of a modification on the RV reducer transmission accuracy, the optimal cycloidal tooth profile modification method has been studied by numerous researchers.…”

Section: Introductionmentioning

confidence: 99%

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Transmission Performance Analysis of RV Reducers Influenced by Profile Modification and Load

Wang

Shi

et al. 2019

Applied Sciences

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RV reducers contain multi-tooth contact characteristics, with high-impact resistance and a small backlash, and are widely used in precision transmissions, such as robot joints. The main parameters affecting the transmission performance include torsional stiffness and transmission errors (TEs). However, a cycloid tooth profile modification has a significant influence on the transmission accuracy and torsional stiffness of an RV reducer. It is important to study the multi-tooth contact characteristics caused by modifying the cycloid profile. The contact force is calculated using a single contact stiffness, inevitably affecting the accuracy of the result. Thus, a new multi-tooth contact model and a TE model of an RV reducer are proposed by dividing the contact area into several differential elements. A comparison of the contact force obtained using the finite element method and the test results of an RV reducer prototype validates the proposed models. On this basis, the influence of load on the different modification methods is studied, including a TE, the mechanical performance, and the transmission efficiency. In addition, the proposed reverse profile is particularly suitable for situations with a large clearance and torque. This study provides a reliable theoretical basis for a multi-tooth contact analysis of a cycloid profile modification.

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Section: Influence Of Load Under Case 3 Modification Methodsmentioning

confidence: 74%

Section: Introductionmentioning

confidence: 99%

Transmission Performance Analysis of RV Reducers Influenced by Profile Modification and Load

Wang

Shi

et al. 2019

Applied Sciences

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“…They are widely used in modern industry due to their good performances (reliable life-span, compact design, high efficiency, high gear ratio, etc) [4][5][6][7]. Geometric and kinematic properties of cycloidal speed reducers have been described thoroughly in the literature [8][9][10][11][12][13][14][15]. The stress-strain state of the elements of cycloidal speed reducers has also been analysed, as well as their efficiency [16,17,19].…”

Section: Introductionmentioning

confidence: 99%

Dynamic Behaviour of a Two-Stage Cycloidal Speed Reducer of a New Design Concept

2018

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Traditional cycloidal speed reducers (with two cycloid discs per one stage, mutually turned by an angle of 180°) are well known for their remarkable dynamic stability. This paper analyses dynamic behaviour of a two-stage cycloidal speed reducer of a new concept, in which only one cycloid disc is used for each stage in order to further enhance its compactness. Lagrange's displacement equations have been used to develop independent dynamic models for both the first and the second stage (six degrees of displacement freedom for the first stage, and eight degrees of displacement freedom for the second stage). A normal force acting at the contact of the cycloid disc teeth and the corresponding ring gear roller has been taken as an excitation force. For the newly designed two-stage cycloidal speed reducer, systems of differential displacement equations of the first and second stage have been solved using the Matlab -Simulink software package. A comprehensive analysis of the obtained diagrams of elastic dynamic contact forces of the first and second stage has revealed a certain analogy. In terms of dynamics, the cycloid disc of the second stage behaves similarly to the cycloid disc of the first stage. Since these cycloid discs are mutually turned by an angle of 180°, it can be concluded that from the aspect of the cycloid disc load, the two-stage cycloidal speed reducer of a new design concept exhibits good dynamic balance and stability.

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“…Their application in the renewable energy sources is especially notable. The most commonly used cycloidal speed reducer gear profile is an equidistant shortened epitrochoid [1,2,3], although profile modifications can sometimes be made in order to achieve better performance [4,5,6]. The geometry of the cycloidal gearing has been well studied, and there is a variety papers dealing with this issue, [7,8,9,10].…”

Section: Introductionmentioning

confidence: 99%

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

Kostić

Blagojević

Petrović

et al. 2018

TFAMENA

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The actual cycloidal speed reducer elements differ from their theoretical ideal due to existing tolerances; therefore, the cycloid disc behaves like a corrected one. This study is oriented towards determining contacts in corrected cycloid speed reducer profiles from the aspect of geometry. Based on this geometry, an objective function was developed for the optimization with some limitations. Heuristic optimization was used to determine the position of the cycloidal drive elements when a contact was established and, consequently, to determine clearances in other places. Some limitations were set so that the model could reflect a real contact. In this study, a TLBO algorithm was used for the optimization of a cycloidal speed reducer. Clearances were analysed for different correction values of the cycloid disc profile of an actual cycloidal drive and the optimization procedure was presented. The results provide a real picture of the contact in the presence of inevitable machining tolerances.

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Design of a two-stage cycloidal gear reducer with tooth modifications

Cited by 70 publications

References 11 publications

Transmission Performance Analysis of RV Reducers Influenced by Profile Modification and Load

Transmission Performance Analysis of RV Reducers Influenced by Profile Modification and Load

Dynamic Behaviour of a Two-Stage Cycloidal Speed Reducer of a New Design Concept

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

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