Geometry design and dynamic analysis of a modified cycloid reducer with epitrochoid tooth profile

Jang, Dae-Jin; Kim, Yong-Cheol; Hong, Eung-Pyo; Kim, Gyu-Seok

doi:10.1016/j.mechmachtheory.2021.104399

Cited by 23 publications

(13 citation statements)

References 14 publications

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“…Moreover, only one tooth pair is being in engagement in unload-state, and the gaps with varying sizes exist between other tooth pairs. The initial gaps for each cycloidal gear with combination modifications of equidistance and moved distance method described as below [22], where, 𝜑𝜑 𝑖𝑖 is angle of the 𝑖𝑖th pin roller rotating to crankshaft.…”

Section: Objective Functionsmentioning

confidence: 99%

Piecewise modification of cycloidal gear in RV reducer: application of spline interpolation theory and comparison with a combination modification optimization method

Gao,

Li,

Zhang

et al. 2023

Preprint

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Rotate vector (RV) reducers are typical deceleration elements with the outstanding characteristics of small size, compact structure, strong load-bearing capacity, and low transmission error, which are widely applied in fields of industrial robots, aerospace, and measurement instruments. The cycloidal gear, as the core component of the second-stage drive in RV reducer, its tooth profile directly determines the general performance of RV reducer such as meshing precision, load-bearing capacity, and riding stability. Therefore, it is necessary to explore and propose feasible methods and parameters for modification of cycloidal tooth profile. In this paper, taking the CRV-20E reducer as an object, firstly, a theoretical model for maximum contact stress and load distribution coefficient on meshing surfaces was established. Based on genetic algorithm, a multi-objective optimization for cycloidal profile was proposed with maximum contact stress and load distribution coefficient as objective functions, and the optimal combination of modification parameters was obtained. Secondly, with the idea of piecewise and the spline interpolation method, the cycloidal profile was separated into three segments of dedendum, working, and addendum. It ensured the conjugated meshing between cycloidal and pin tooth profile during working segment, besides, it remained various clearances in dedendum and addendum according to specific requirements. Finally, finite element simulation analysis was conducted on cycloid-pin gear drive mechanism, which containing for both two types of modified tooth profile, respectively. The simulation results verified the correctness of theoretical model and the feasibility of the proposed two modification methods.

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Section: Objective Functionsmentioning

confidence: 99%

Piecewise modification of cycloidal gear in RV reducer: application of spline interpolation theory and comparison with a combination modification optimization method

Gao,

Li,

Zhang

et al. 2023

Preprint

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show abstract

“…The design guide presented in the previous section is used to design a harmonic drive. In general, interference can be prevented by increasing the pressure angle of the involute gear or by lowering the addendum and dedendum in planocentric reducers designed with involute gears [24]. Notably, as the pressure angle increases, the noise increases and the contact rate decreases [24].…”

Section: Design Of Harmonic Drivementioning

confidence: 99%

“…In general, interference can be prevented by increasing the pressure angle of th involute gear or by lowering the addendum and dedendum in planocentric reducers de signed with involute gears [24]. Notably, as the pressure angle increases, the noise in creases and the contact rate decreases [24]. Moreover, when the flex spline is deformed stress is concentrated on the bottom of the involute tooth shape.…”

Section: Design Of Harmonic Drivementioning

confidence: 99%

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

et al. 2022

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This paper proposes a modified harmonic cam, which is used to design a harmonic drive. Conventional harmonic drives using a sinusoidal cam type pertain to an elastic body concept and are thus difficult to design and evaluate. Unlike the conventional sinusoidal cam, the proposed harmonic cam involves a combination of four arcs. Such cams can be designed based on a rigid body concept, and thus, the tooth profile can be designed and analyzed using the established gear theory. The novel harmonic cam is designed by exploiting four-arc combinations, and guides for designing harmonic drives with involute and cycloid angular teeth are presented. A harmonic drive with a difference of two teeth between the circular spline and flex spline is designed. The operation, tooth engagement, and interference are validated through a mock-up production using a 3D printer and gear simulation program. The findings can facilitate the facile design and manufacturing of harmonic drives.

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“…Hsieh 5 designed a cycloidal reducer with internal gear output for solving the problem of uneven stress on gears. Jang et al 6 introduced a new cycloidal pin gear reducer, where the transmission teeth of different heights and thicknesses can be designed. Chen et al 7 designed a cycloidal reducer with a flexible structure and analyzed the influence of design parameters on its vibration.…”

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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Geometry design and dynamic analysis of a modified cycloid reducer with epitrochoid tooth profile

Cited by 23 publications

References 14 publications

Piecewise modification of cycloidal gear in RV reducer: application of spline interpolation theory and comparison with a combination modification optimization method

Piecewise modification of cycloidal gear in RV reducer: application of spline interpolation theory and comparison with a combination modification optimization method

Development of Harmonic Drive Combining Four Arcs for Conventional Kinematic Application

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

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