On a Novel Dry Friction Modeling: Differential EquationsComputation and Lyapunov Exponent Estimation

摘要

A novel dry friction modeling and its impact on differential equations compu-tation and Lyapunov exponent estimation are studied in this paper. A brief review of some existing standard friction laws is presented and a novel continu-ous friction model taking into account some elements of the mentioned classical friction models is proposed. Its advantages are illustrated and discussed with the use of classical differential equation of motion of a 1-DOF system with dry friction and harmonic excitation. The behavior of the mentioned system is monitored via standard tools, i.e. time series, phase portraits, bifurcation diagrams as well as the Lyapunov exponents.