Work

The role of dynamic friction in the appearance of periodic oscillations in mechanical systems

Year: 2024

Type: article

Abstract: This article investigates the appearance of periodic mechanical oscillations associated with the transition between static and dynamic friction regimes. The study employs a mechanical system with one degree of freedom and a friction model recently proposed by Brown and McPhee, whose continuity and differentiability properties make it particularly appropriate for an analytical treatment of the equations. A bifurcation study of the system, including stability analysis, transformation to normal form and numerical continuation techniques, reveals that stable periodic orbits can be created either by a supercritical Hopf bifurcation or by a saddle-node bifurcation of limit cycles. The influence of all system parameters on the appearance of periodic oscillations is investigated in detail. In particular, the effect of the friction model parameters (static-to-dynamic friction ratio and transition speed between the static and dynamic regimes) on the bifurcation behavior of the system is addressed.

Source: Nonlinear Dynamics

DOI: 10.1007/s11071-024-10162-4

Authors: J. González-Carbajal, D. García-Vallejo, J. Domínguez, E. Freire

Institutions: Universidad Rey Juan Carlos, Universidad de Sevilla

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $4,590

Funder: Universidad de Sevilla