Multi-Objective Optimization Design of Cycloid-Pin Gears Based on RV Reducer Precision Transmission Performance

Yunda Zhao, Zhenhua Han (), Qifeng Tan, Wentao Shan, Rirong Li, Hao Wang and Youwu Du
Additional contact information
Yunda Zhao: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Zhenhua Han: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Qifeng Tan: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Wentao Shan: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Rirong Li: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Hao Wang: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China
Youwu Du: School of Mechanical Engineering, Jiangsu University of Technology, Changzhou 213001, China

Energies, 2024, vol. 17, issue 3, 1-27

Abstract: This paper aims to realize multi-objective optimization of cycloid-pin gears to improve the positioning accuracy and load-carrying capacity of the rotary vector (RV) reducer, via the consideration of backlash, transmission error, and torsional stiffness. Initially, the analytical models of the RV transmission backlash and transmission error are developed by using both purely geometrical and equivalent model methods individually. Based on the generalized Hooke’s law, a torsion angle model is established to characterize the torsional stiffness of the system, utilizing methods such as Hertzian contact theory and bearing stiffness models. Subsequently, employing the Monte Carlo method, extremum method, and quality loss function, mapping objective functions for dimensional accuracy (tolerance) and transmission performance (backlash, transmission error, and torsional stiffness) are constructed. The geometry dimensions, dimensional accuracy, and modification of the cycloid-pin gear are considered as design variables to create a multi-objective optimization model. The improved Parallel Adaptive Genetic Algorithm using Deferential Evolution (PAGA-DE) is used for multi-objective solutions. Through example calculations, the impact of cycloid-pin gear parameters on transmission performance before and after optimization is determined. The reliability of backlash after optimization within 1.5′ reaches 99.99%, showing an increase of 8.24%. The reliability of transmission error within 1′ reaches 98.52%, demonstrating an increase of 1.35%. The torsional angle is reduced by 8.9% before optimization. The results indicate that the proposed multi-objective optimization design method for cycloid-pin gears can achieve the goal of improving the transmission performance of the RV reducer.

Keywords: cycloid-pin gear; backlash; transmission error; torsional stiffness; PAGA-DE algorithm (search for similar items in EconPapers)
JEL-codes: Q Q0 Q4 Q40 Q41 Q42 Q43 Q47 Q48 Q49 (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/1996-1073/17/3/654/pdf (application/pdf)
https://www.mdpi.com/1996-1073/17/3/654/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jeners:v:17:y:2024:i:3:p:654-:d:1329525

Access Statistics for this article

Energies is currently edited by Ms. Agatha Cao

More articles in Energies from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().