Bs. Heck et Aa. Ferri, MODEL-REDUCTION OF COULOMB-FRICTION DAMPED SYSTEMS USING SINGULAR PERTURBATION-THEORY, Journal of dynamic systems, measurement, and control, 118(1), 1996, pp. 84-91
This paper presents an extension of singular perturbation theory for u
se in the analysis of mechanical systems with dry (Coulombic) friction
. Standard singular perturbation techniques cannot be applied due to t
he discontinuity inherent with dry friction. A methodology is develope
d to obtain a reduced-order piecewise-smooth model that recovers the s
low motion of the system throughout the entire stare space. Both a zer
oth-order and a first-order approximation are obtained The method is d
emonstrated successfully on a numerical example. A proof of the validi
ty of the method is contained in the Appendix.