Nonlinear Vibration Induced by Friction in a Ball Joint System

Abstract

In this paper, the nonlinear oscillations induced by friction in a ball-on-socket system are investigated. The nonlinear time response was obtained by solving the differential equations of the friction-noise model of the finite element ball with multiple modes. The different patterns of motion were analyzed via the bifurcation diagram, Poincare map, and recurrence plot. The Lyapunov exponents of the discontinuous system with distributed contact were calculated using the Muller method. From the analysis, it is shown that a friction-noise of a ball joint can retain periodic, quasi-periodic, or chaotic oscillations with respect to tilted contact.

Keywords

• ball joint
• friction noise
• chaos
• Lyapunov exponent
• recurrence analysis