A theoretical analysis of the dynamic behaviour of mechanical systems characterized by coupled elements subjected to friction force from the sliding surface is proposed. With reference to systems with one degree of freedom and approximating the friction force as a piecewise linear function, i.e. straight line segments with a suitable slope, the positioning errors in the stop phase are studied. Dimensionless analytical relations used to predict the size of positioning errors and dimensionless diagrams are provided.
CaponeG.D'AgostinoV.della ValleS.GuidaD.Influence of the variation between static and kinetic friction on stick-slip instabilityWear, 1993, 161, 121–126.
6.
CaponeG.D'AgostinoV.della ValleS.GuidaD.Friction-force characteristic influence on positioning accuracy. InNORDTRIB ′92, Vol. I, Helsinki, 8–11 June 1992, pp. 100–107.
7.
TakanoE.HaraT.SaekiM.Oscillations caused by solid friction in a hydraulic driving systemJSME Int. J., Ser. III, 1988, 31 (1), 48–57.
8.
GaoC.Kuhlmann-WilsdorfD.On stick-slip and the velocity dependence of friction at low speedsTrans. ASME, J. Tribology, April 1990, 112, 354–360.
9.
StokerJ. J.Nonlinear Vibrations in Mechanical and Electrical Systems, 1950 (Interscience, New York).
10.
BlaquiereA.Nonlinear System Analysis, 1966 (Academic Press, New York and London).
