Lost motion analysis of one stage cycloid reducer considering tolerances

Pham, Anh-Duc; Ahn, Hyeong-Joon

doi:10.1007/s12541-016-0123-8

Cited by 46 publications

(24 citation statements)

References 11 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Research on cycloid drives concerning the geometrical design method [20,23], kinematic principle [18,24], and load distribution analysis [4,11,12,14,15,25] have all assumed a two-dimensional planar problem without considering the three-dimensional topological structure of the cycloid gear. However, in practice, like involute cylindrical gears [26][27][28], the cycloid gear is also crowned in the longitudinal direction to avoid edge contact between the teeth and rollers, considerably improving the contact stress distribution.…”

Section: Tooth Longitudinal Modificationmentioning

confidence: 99%

“…An iterative process is repeated to find the solutions, as shown in Figure 5. Firstly, two initial values of load and angular displacement are chosen to solve the compatibility and equilibrium Equations (24) and (25) and to calculate the tooth compliance according to Equations (15)- (23) in the meantime, after the backlash is calculated by unloaded TCA. All the values are updated each time the load and angular displacement enter into the system of equations.…”

Section: Loaded Tooth Contact Analysismentioning

confidence: 99%

See 1 more Smart Citation

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

Zhang

Wang

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

The current load distribution model for cycloid drives based on the Hertz contact stiffness typically assumes a two-dimensional planar problem without considering the tooth longitudinal modification effects, which fails to comply with the practical situation. In this paper, this issue is clarified by developing a semi-analytical load distribution model based on a three-dimensional and linear elastic solution. Unloaded tooth contact analysis is introduced to determine the instantaneous mesh information. The tooth compliance model considering tooth contact deformation is established by combining the Boussinesq force–displacement relationships in elastic half-space with an influence coefficient method. With this, the loads, contact patterns, and loaded transmission error are calculated by enforcing the compatibility and equilibrium conditions. Comparisons to predictions made with the assumption of Hertz contact stiffness are presented to demonstrate the effectiveness of the proposed model, which shows good agreement. At the end, the effect of tooth longitudinal modifications on load distributions is investigated along with various loading conditions. This study yields an in-depth understanding of the multi-tooth contact characteristics of cycloid drives and provides an effective tool for extensive parameter sensitivity analysis and design optimization studies.

show abstract

Section: Tooth Longitudinal Modificationmentioning

confidence: 99%

Section: Loaded Tooth Contact Analysismentioning

confidence: 99%

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

Zhang

Wang

et al. 2020

Applied Sciences

View full text Add to dashboard Cite

show abstract

“…For example, Li [30] carried out loaded gear contact analysis and strength calculations for trochoidal gear reducers based on a mechanics model and a finite element method. Tran et al [31] studied the lost motion of a cycloid reducer using a combined finite element and kinematic analysis and concluded that the backlash of a cycloid reducer was not only related to the torsional stiffness but also to the tolerance. However, the multi-tooth meshing characteristics of cycloid-pin drives often lead to a huge finite element model, low computational efficiency, and expensive computational costs.…”

Section: Introductionmentioning

confidence: 99%

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Liu

Shi

et al. 2021

Applied Sciences

View full text Add to dashboard Cite

Transmission error (TE) and backlash are important parameters used to evaluate the transmission accuracy of cycloid-pin drives. Existing calculation methods are mostly based on two-dimensional tooth profile models, and these methods ignore the influence of some abnormal meshing phenomena caused by profile modifications (PMs), manufacturing errors (MEs), and assembly errors (AEs), such as the instantaneous mesh-apart of tooth pairs and the eccentric load on the tooth surface. To fill this gap, a novel approach to accurately calculating the TE and backlash of a cycloid-pin gear pair based on the error tooth surfaces is proposed, and its feasibility and effectiveness are validated by comparison with the theoretical analyses and the results from the literature. Based on this, the effects of the PMs, MEs, and AEs on the transmission accuracy are studied, which will be helpful in optimizing the tooth profile design of a cycloid gear and the tolerance allocation during the installation of a gear pair. The proposed method is also expected to provide accurate error excitation data for the dynamic analysis of cycloid-pin drives.

show abstract

“…The primary variable in the definitions of these main parameters includes torque, which is time-dependent. Therefore, it is necessary to measure torques of input and output shafts of the tested reducer in real time [11,12].…”

Section: Introductionmentioning

confidence: 99%

Torque Measurement of High‐Precision Reducer for Industrial Robot

Zhang

2021

Journal of Sensors

View full text Add to dashboard Cite

Torque testing is crucial to improve the quality of high-precision reducers—the core component of industrial robots. Herein, a torque-measurement system for a novel vertical measuring instrument is designed. The distance from the torque transducers to the robot reducer is minimized to ensure the shortest measurement chain. The symmetrical system structure improves the overall rigidity, and error compensation can be performed easily. The characteristics of the torque measurement errors due to shaft bending and torsional deformations were also analyzed. A torque calibrator comprising two high-precision torque output systems was used to calibrate torque transducers in the measurement system. Reasonable and practical compensation models based on a backpropagation neural network were developed to accurately obtain the input and output torques of the reducer. As the torque-measurement precision of the reducer detector reached 0.1% over the entire torque range, the instrument can be used for accuracy measurement of the input and output torques of the robot reducer.

show abstract

Lost motion analysis of one stage cycloid reducer considering tolerances

Cited by 46 publications

References 11 publications

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

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

A Novel Approach to Calculating the Transmission Accuracy of a Cycloid-Pin Gear Pair Based on Error Tooth Surfaces

Torque Measurement of High‐Precision Reducer for Industrial Robot

Contact Info

Product

Resources

About