Discrete Modification of Annular Teeth in Recirculating Planetary Roller Screw Mechanism

doi:10.3901/JME.260238

Abstract

Abstract: To improve the transmission performance of the recirculating planetary roller screw mechanism (RPRSM), structural modification of key components is essential. Addressing the accuracy limitations of conventional linear compensation strategies, a mathematical model of load distribution between the annular teeth of the roller and the threads of the screw and nut is established. Based on the deformation compatibility and the stiffness matrix, the discrete modification values of the roller’s annular teeth are derived. A fitting function model is then constructed according to the distribution characteristics of these values, and the Levenberg-Marquardt algorithm is employed to optimize the fitting coefficients and obtain the optimal modification curve. Furthermore, a multi-parameter coupled cooperative modification strategy is proposed, considering the effects of the flank angles of the screw, roller, and nut, as well as the profile radius of the roller tooth, on the peak contact stress. The theoretical model is validated by comparing the load distribution and peak contact stress before and after modification through finite element analysis. The results indicate that the modification curve, based on a quadratic polynomial model, causes the load distribution coefficients on the nut and screw sides to converge to 0.998-1.001 and 0.995-1.003, respectively. Moreover, the cooperative modification strategy significantly reduces the average contact stress on both sides of the roller by 35.55% and 32.93%, while maintaining uniform load distribution.

Key words: recirculating planetary roller screw mechanism, discrete modification values, Levenberg-Marquardt algorithm, cooperative modification

CLC Number:

TH156

ZHANG Zihao, YAO Qin, CHEN Zhirong, SUN Junxian, HUANG Jiale. Discrete Modification of Annular Teeth in Recirculating Planetary Roller Screw Mechanism[J]. Journal of Mechanical Engineering, 2026, 62(5): 204-214.

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URL: http://www.cjmenet.com.cn/EN/10.3901/JME.260238

http://www.cjmenet.com.cn/EN/Y2026/V62/I5/204

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