Meshing principle and characteristics analysis of an abnormal cycloidal internal gear transmission

Mo, Jingyu; Luo, Saiyu; Fu, Shengping; Chang, Xuefeng

doi:10.1007/s12206-022-0929-5

Cited by 7 publications

(7 citation statements)

References 19 publications

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“…The detailed description and derivations of the aforementioned tooth profiles are provided in Ref. 37 Figure 5 illustrates the theoretical route of the profile design of the ACG tooth. Firstly, the profile equations of the ACG tooth are derived using the meshing principle and coordinate transformation.…”

Section: Generation and Mathematical Model Of Acg Tooth Profilementioning

confidence: 99%

“…Unlike our prior research, which involved developing a meshing theory model for designing reducer drive teeth 37 and constructing a virtual prototype of the ACG reducer to analysis motion relationships between parts, 38 the present work introduces a composite tooth profiles manufacturing approach and operational performance of designed gear pair evaluated. The original contribution of this Note to the field of design, machining and performance evaluation of ACG reducer encompass the following: (i) Developing a new configuration and a geometric design method for the ACG reducer with a 2K-H internal meshing mechanism; (ii) Achieving the machining of the combined profiles of ACG tooth, allowing for efficient machining of the designed gear using a simple cutter in a single operation; (iii) Quantitatively evaluating the transmission advantages and disadvantages of the designed gear pair through loaded tooth contact analysis.…”

Section: Introductionmentioning

confidence: 99%

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Manufacturing and contact characteristics analysis of a novel 2K-H internal meshing planetary reducer with involute-cycloid combined tooth profiles

Luo,

Jingyu

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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Rotate Vector (RV) reducer involves multiple crankshafts to drive the cycloidal-pin transmission in parallel, leading to an over-positioning structure and high manufacturing and assembly requirements for the reducer, restricting the development of industrial robots. In view of the above problems, a novel configuration of Abnormal Cycloidal Gear (ACG) reducer with a 2K-H internal meshing planetary transmission is proposed. The design innovatively replaces the multiple crankshafts with a pin mechanism, thereby addressing the over-positioning and simplifying the manufacturing and assembly processes. To improve the performance of the reducer, the “epicycloid-involute-hypocycloid” combined tooth profiles are designed and adopted as the ACG reducer’s drive teeth. The configuration principle of the ACG reducer is conducted. Next, a manufacturing method utilizing a rack cutter to generate the profile of drive teeth is presented. Finally, the meshing performance and mechanical behaviors of the designed internal meshing pair for the ACG reducer are evaluated. Results show that ACG reducer has the advantages of a simple structure and large transmission ratio. The combined tooth profiles can be machined at one time using the designed cutter, simplifying the tooth machining process. The internal meshing pair is linear contact and exhibits an obviously multi-teeth meshing effect, which benefits the carrying capacity and transmission performance of the ACG reducer.

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Section: Generation and Mathematical Model Of Acg Tooth Profilementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Manufacturing and contact characteristics analysis of a novel 2K-H internal meshing planetary reducer with involute-cycloid combined tooth profiles

Luo,

Jingyu

2024

Proceedings of the Institution of Mechanical Engineers, Part C:

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“…The ACG conjugate tooth profile is defined by a given contact path. Based on the conditions of ACG, 24 contact path BH true^ and GA true^ are used to generate, respectively, the hypocycloid and epicycloid tooth profiles of the pinion, and contact path GH true¯ is used to generate its involute tooth profile.…”

Section: Generation and Mathematical Model Of Abnormal Cycloidal Profilementioning

confidence: 99%

“…In our previous work, the meshing principle and design method of the ACG were studied. 24 It was found that ACG has a higher bearing capacity and lower sliding ratio. However, some limitations with the ACG tooth profiles were also observed, for example, it was not clear whether the given tooth profile is suitable for the ACG reducer and satisfies its meshing conditions.…”

Section: Introductionmentioning

confidence: 99%

Geometric design and dynamic characteristics of a novel abnormal cycloidal gear reducer

Gong

Luo

et al. 2023

Advances in Mechanical Engineering

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A precision reducer with a high ratio and a small size is essential for precise control of the position of a robotic arm. The rotate vector (RV) is a reducer widely applied in robotic joints. However, its complex structure, over-positioning and difficult assembly restrict its application industrial robots. Herein, a novel abnormal cycloidal gear (ACG) reducer is proposed. In comparison to the RV reducer, the proposed reducer has the characteristics of compact structure, less over-positioning and high ratio. The compound tooth profile of “epicycloid-involute hypocycloid” is used as the driving teeth for improving the performance of the reducer. The operating principle, mechanism design and reduction ratio of the proposed reducer is investigated, and the design method of the ACG tooth profile is also introduced. A dynamic characteristic model is established to verify the correctness of the design method of the reducer. A prototype of the ACG reducer is fabricated by using the computer numerical control (CNC) machining technology. Results show that the ACG reducer is capable to cover a wide range of reduction ratios with a simple mechanism. The numerical and theoretical results are in agreement, which depict the structural feasibility and correctness of the design method of the reducer. The adaptation of the ACG tooth profile as the driving teeth helps in improving the performance of the reducer.

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“…Hsieh and team compared traditional and novel designs for two-stage speed reducers, analyzing their implications for stress and motion [18]. Mo et al showcased the 2K-H internal meshing abnormal cycloidal gear (ACG) planetary reducer's superior transmission properties and reduced stress levels [19], while Hsieh proposed a distinctive transmission design that optimized stress distribution [20]. The analytical models by Li et al and Kim et al took into account factors like elastic-and heat-induced deformations in cycloid and planetary gear speed reducers [21].…”

Section: Introductionmentioning

confidence: 99%

A Novel Method for the Analysis and Optimization of End Face Stress in Cycloidal Gears Based on Conformal Mapping

Jiang,

Zhang

et al. 2023

Applied Sciences

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In the realm of precision engineering, the evaluation of stress distributions in complex geometries, such as the end face of gears, is paramount for determining performance characteristics, including the fatigue life of transmission devices. This research introduces a methodology that combines the method of conformal mapping for multiply connected regions with a proposed global scaling factor. This combination facilitates the transformation of stress computations from intricate geometries to a unit circle. By employing this method as a foundation for surrogate models, and by incorporating the Bayesian-enhanced least squares genetic algorithm optimization technique, this study refines the end face stress distribution, particularly considering variations induced by tooth profile modification errors. The results delineate a design parameter domain that is conducive to achieving uniform stress distribution, offering a refined perspective and methodology for the design of cycloidal wheels.

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Meshing principle and characteristics analysis of an abnormal cycloidal internal gear transmission

Cited by 7 publications

References 19 publications

Manufacturing and contact characteristics analysis of a novel 2K-H internal meshing planetary reducer with involute-cycloid combined tooth profiles

Manufacturing and contact characteristics analysis of a novel 2K-H internal meshing planetary reducer with involute-cycloid combined tooth profiles

Geometric design and dynamic characteristics of a novel abnormal cycloidal gear reducer

A Novel Method for the Analysis and Optimization of End Face Stress in Cycloidal Gears Based on Conformal Mapping

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