Dynamical Behaviour of a Nonlinear Single-Degree-Of-Freedom System with Negative Viscous and Positive Frictional Damping

This paper presents the phase portraits of the single-degree-of-freedom system with two competing energy dissipation models: viscous damping and Coulomb dry friction. While the scaled friction force may occupy only nonnegative values, the coefficient of viscous damping is allowed to any real value. The unstable limit cycle is discovered at a certain interval of negative viscous damping coefficient values. The basin of attraction is computed, as well as separatrices where they appear. The criteria are established to find out the stability of the system's motion based solely on given initial conditions for different values of the system's parameters.

JAKSIC Nikola; 

2008-09-23

SPRINGER

JRC45703

0025-6455,   

https://publications.jrc.ec.europa.eu/repository/handle/JRC45703,   

10.1007/s11012-007-9089-z,