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Nonlinear dynamics of coupling rub-impact of double translational joints with subsidence considering the flexibility of piston rod

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Abstract

In this work, based on the nine kinds of rub-impact scenarios of one single translational joint, we discuss 42 kinds of coupling rub-impact scenarios of double translational joints with subsidence for a triplex member including crosshead slider, piston rod, and piston slider. The two sliders are connected by a flexible piston rod. The flexible piston rod alternates between a straight rod and a S-curve rod in the rub-impact. A novel dynamic model of coupling rub-impact system with subsidence is established considering complex rub-impact scenarios and the flexibility of the piston rod. The dynamic equations are solved by the fourth-order Runge–Kutta approach. The numerical simulation results show that the subsidence has a significant effect on the rub-impact scenarios of the double translational joints, and the larger the subsidence is, the more intense the rub-impact. Moreover, the stability of coupling rub-impact system with double translational joints is investigated. The chaotic phenomenon of the coupling rub-impact system can be observed in the phase space trajectory. The existence of chaotic behavior is further confirmed by the Poincaré section method.

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Acknowledgements

This work is supported by the Natural Science Foundation of China (Grant No. 51575331), Research Project for Yong and Middle-aged Teacher in Fujian Province (Grant No. JT180601), and Young Teacher Special Project of Ningde Normal University (Grant Nos. 2018Q101, 2018ZX401, 2019ZX403). These supports are gratefully acknowledged.

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Authors and Affiliations

  1. School of Mechatronic Engineering and Automation, Shanghai University, Shanghai, 200072, People’s Republic of China

    Shungen Xiao, Shulin Liu, Hongzhou Wang, Yang Lin & Hongli Zhang

  2. School of Information, Mechanical and Electrical Engineering, Ningde Normal University, Ningde, 352100, People’s Republic of China

    Shungen Xiao & Mengmeng Song

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  1. Shungen Xiao
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Correspondence to Shulin Liu or Hongli Zhang.

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Xiao, S., Liu, S., Wang, H. et al. Nonlinear dynamics of coupling rub-impact of double translational joints with subsidence considering the flexibility of piston rod. Nonlinear Dyn 100, 1203–1229 (2020). https://doi.org/10.1007/s11071-020-05566-x

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