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P. E. Dupont and E. P. Dunlop, “Friction Modeling and PD Compensation at Very Low Velocities,” Journal of Dynamic Systems, Measurement, and Control, Vol. 117, No. 1, 1995, pp. 8-14. doi:10.1115/1.2798527

has been cited by the following article:

• TITLE: Dynamic Friction Behaviors of Pneumatic Cylinders

  AUTHORS: Xuan Bo Tran, Hideki Yanada

  KEYWORDS: Dynamic Behavior; Pneumatic Cylinder; Mathematical Model

  JOURNAL NAME: Intelligent Control and Automation, Vol.4 No.2, May 24, 2013

  ABSTRACT: This paper deals with experimental investigation and modeling of dynamic friction behaviors in the sliding regime of pneumatic cylinders. Using three pneumatic cylinders, friction characteristics are investigated and modeled under various conditions of velocity variation and pressures. It is shown that a hysteretic behavior can be seen at low velocities in the friction force-velocity relation and the friction force varies nearly linearly with the velocity at high velocities. The hysteretic loop is expanded to higher velocities when the frequency of the velocity variation is increased, and its size is increased with increasing driving pressure and is decreased with increasing resistance pressure. It is shown that such behaviors can be relatively accurately simulated by the new modified LuGre model in which a few static parameters are varied with the frequency of velocity variation.