论文信息 - DESCRIBING FUNCTION OF A SIMPLE MECHANICAL SYSTEM WITH NON-LINEAR FRICTION

DESCRIBING FUNCTION OF A SIMPLE MECHANICAL SYSTEM WITH NON-LINEAR FRICTION

This paper studies the describing function (DF) of systems constituted by a mass subjected to nonlinear friction. The friction force is decomposed in two components namely, the viscous and the Coulomb friction. The system dynamics is analyzed in the DF perspective revealing a fractional-order behaviour. The reliability of the DF method is evaluated through the signal harmonic contents.

Fernando B. M. Duarte | J. Machado

[1] Fernando B. M. Duarte,et al. FRACTIONAL DYNAMICS IN THE DESCRIBING FUNCTION ANALYSIS OF NONLINEAR FRICTION , 2006 .

[2] J. A. Tenreiro Machado,et al. Describing Function Analysis of Mechanical Systems with Nonlinear Friction and Backlash Phenomena , 2003 .

[3] J. A. Tenreiro Machado,et al. Describing Function Analysis of Systems with Impacts and Backlash , 2002 .

[4] I. Podlubny. Fractional differential equations , 1998 .

[5] J. Machado,et al. On the describing function method and the prediction of limit cycles in nonlinear dynamical systems , 1998 .

[6] Brian Armstrong,et al. PID control in the presence of static friction: A comparison of algebraic and describing function analysis , 1996, Autom..

[7] Pierre E. Dupont,et al. The effect of Coulomb friction on the existence and uniqueness of the forward dynamics problem , 1992, Proceedings 1992 IEEE International Conference on Robotics and Automation.

[8] Weiping Li,et al. Applied Nonlinear Control , 1991 .

[9] Bernard Friedland,et al. On the Modeling and Simulation of Friction , 1990, 1990 American Control Conference.

[10] C. S. Cox,et al. Algorithms for Limit Cycle Prediction: A Tutorial Paper (for Undergraduates) , 1987 .

[11] Dean Karnopp,et al. Computer simulation of stick-slip friction in mechanical dynamic systems , 1985 .

[12] G. Siouris,et al. Nonlinear Control Engineering , 1977, IEEE Transactions on Systems, Man, and Cybernetics.