A Differential-Algebraic Multistate Friction Model

  • Xiaogang Xiong
  • Ryo Kikuuwe
  • Motoji Yamamoto
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7628)


Fidelity with friction properties and easiness of implementation are both important aspects for friction modeling. Some empirically motivated models can be implemented easily due to their simple expression and small number of parameters, but they cannot capture faithfully the main properties of friction. Some physically motivated models give close agreement with the friction properties, but they can be too complex for some applications. This paper proposes a differential-algebraic multistate friction model that possesses easiness of implementation and adjustment, a relatively small number of parameters and a compact formulation. Moreover, it captures all standard properties of well-established friction models.


Stick-slip behavior Nondrifting property Hysteresis with nonlocal memory Frictional lag Rate-independent 


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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Xiaogang Xiong
    • 1
  • Ryo Kikuuwe
    • 1
  • Motoji Yamamoto
    • 1
  1. 1.Department of Mechanical EngineeringKyushu UniversityFukuokaJapan

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