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Journal ArticleDOI

Analysis of a cycloid speed reducer

01 Jan 1983-Mechanism and Machine Theory (Pergamon)-Vol. 18, Iss: 6, pp 491-499
TL;DR: In this article, a procedure to calculate the forces on various elements of the speed reducer as well as the theoretical efficiency is presented, and the effects of design parameters on forces and contact stresses are studied.
About: This article is published in Mechanism and Machine Theory.The article was published on 1983-01-01. It has received 88 citations till now. The article focuses on the topics: Reducer.
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Journal ArticleDOI
TL;DR: In this paper, a modified cycloid reducer with an epitrochoid tooth profile was designed and tested with nine different design scenarios for the reducer, and finite element analysis showed that the cycloid gear had higher rigidity than the involute gear.

10 citations

Journal ArticleDOI
TL;DR: In this paper, an experimental and theoretical approach to evaluate cycloid drive reducer efficiency is described, which is based on kinematics and dynamics of rigid bodies and a nonlinear stiffness based on contact dynamics.
Abstract: This paper describes an experimental and theoretical approach to evaluate cycloid drive reducer efficiency. The tests are carried out on 7.5 kW two-disc cycloid drive with a gear ratio of 19. The torque and speed are measured on the input and output shaft. The efficiency is calculated based on the obtained results. The main goal of the second part of the study is to deduce equations of cycloid reducer in order to predict and analyze experimental results. In this way, the following points are set for the simulation: a working condition in which the input speed and the output load are imposed; then, the output speed is determined by the gear ratio, and finally, the input torque is obtained by solving the dynamic problem. A new model for cycloidal reducers is proposed. This model is based on kinematics and dynamics of rigid bodies and a non-linear stiffness based on contact dynamics. The overall elasticity effects are all condensed between the input shaft and the cycloidal disk. The proposed model allows to predict the efficiency for several operational conditions and offer a drastic reduction of computational costs suitable for the optimization process.

9 citations

Journal ArticleDOI
TL;DR: In this paper, a semi-analytical load distribution model based on a three-dimensional and linear elastic solution is introduced to determine the instantaneous mesh information, which yields an in-depth understanding of the multtooth contact characteristics of cycloid drives and provides an effective tool for extensive parameter sensitivity analysis and design optimization studies.
Abstract: 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.

8 citations

Proceedings ArticleDOI
17 May 2021
TL;DR: In this paper, a parametric 2-D finite element analysis (FEA) was employed to optimize the high-torque stage of a two-stage surface permanent magnet radial flux cycloidal magnetic gear train, accounting for the impacts of practical fabrication constraints.
Abstract: Future space missions require new robotic technologies, such as precision gearboxes capable of achieving speed-reduction ratios in excess of 1000:1, specific torques exceeding 50 N*m/kg, operation in environmental temperatures as low as 40 K, and operation in low-atmosphere or hard vacuum, with high reliability and lifetime. The tribological challenges associated with lengthy missions in harsh space environments may be ameliorated with contactless magnetic gearing solutions. This paper employs an extensive parametric 2-D finite element analysis (FEA) study to optimize the high-torque stage of a two-stage surface permanent magnet radial flux cycloidal magnetic gear train, accounting for the impacts of practical fabrication constraints, which degrade the achievable performance and shift the optimal gear ratio. This paper presents a novel discussion of the internal stress distribution and the reaction forces acting on the structure of the cycloidal magnetic gear. This paper also proposes a rotor with three sections to simultaneously balance the center of mass, radial magnetic forces, and off-axis torques. A proof-of-concept prototype was developed, and the experimental slip torque and specific torque are presented. The specific torque of the prototype discussed in this paper is competitive with commercial mechanical cycloidal-type drives with a similar torque rating.

8 citations