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Dynamic Analysis of Stochastic Friction Systems Using the Generalized Cell Mapping Method

  • Shichao MaEmail author
  • Xin NingEmail author
  • Liang Wang
Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 75)

Abstract

Friction systems are a kind of typical non-smooth systems in the actual engineering and often generates complicated dynamics. It is difficult to handle this systems by conventional analysis methods directly. In this context, we investigate the stochastic responses of friction systems using the generalized cell mapping method under random excitation in this paper. To verify the accuracy and validate the applicability of the suggested approach, we present two classical nonlinear friction systems, i.e., Coulomb force model and Dahl force model as examples. Meanwhile, this method is in good agreement with Monte Carlo simulation method and the computation time is greatly reduced. In addition, further discussion finds that the adjustable parameters can induce the stochastic P-bifurcation in the two examples, respectively.

Keywords

Friction systems Dynamic analysis Stochastic responses Cell mapping 

Notes

Acknowledgements

This work was supported by the National Science Foundation of China through the Grants (11872306, 11772256), the Central University Fundamental Research Fund (3102018zy043).

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Copyright information

© Springer Nature Switzerland AG 2020

Authors and Affiliations

  1. 1.Northwestern Polytechnical University School of AstronauticsXi’anPeople’s Republic of China
  2. 2.National Key Laboratory of Aerospace Flight DynamicsXi’anPeople’s Republic of China
  3. 3.Northwestern Polytechnical University School of ScienceXi’anPeople’s Republic of China

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