A numerical study on the interaction between friction and vibration in a friction-involved dynamical system

Abstract

Friction can be regarded as a dynamic variable within a dynamical system including sliding interfaces. In general, friction and vibration effects have been studied together in many studies but usually studied in one direction, primarily focusing on the effects of friction on vibration and other direction has not been widely studied, with limited attention given to their closed-loop feedback interactions in engineering applications. The presence of friction and contact surfaces introduces nonlinearity, affecting the system's dynamic response. Moreover, oscillations applied to these structures can influence contact mechanics at friction interfaces, particularly relevant for decommissioning large-scale structures like wind turbines. However, modelling the intricate interplay between friction and vibrations is overly complex, requiring expertise from fields such as contact mechanics, tribology, and nonlinear dynamics.
The objective of the study is to investigate the mutual influences between structural vibrations and contact friction for friction-involved dynamical systems. A two-degree-of-freedom (2-DoF) lumped-parameter model has been developed to a represent friction-involved vibration system. This model incorporates the representation of contact friction using a Jenkins element, accounting for stick, slip, and separation motions occurring at the friction interface. The steady-state response of the system is calculated using the Harmonic Balance method with an alternative frequency-time scheme where its results are validated using a time domain solver. A parametric study is then conducted to examine the mutual relationship between the frictional and vibrational behaviour such as excitation level, contact stiffness, normal load, coefficient of friction, dynamic response, and the effects of vibration on friction force through a newly introduced quantity called equivalent stiffness.

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ORCID for Jie Yuan: orcid.org/0000-0002-2411-8789

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