Dynamical Analysis of Pure Sliding and Stick-Slip Effect with a Random Field Friction Model

Hu, Han ORCID: 0000-0001-9198-6335, Batou, Anas ORCID: 0000-0002-1089-0348 and Ouyang, Huajiang ORCID: 0000-0003-0312-0326 (2023) Dynamical Analysis of Pure Sliding and Stick-Slip Effect with a Random Field Friction Model. In: Mechanisms and Machine Science. Mechanisms and Machine Science, 125 MM . Springer International Publishing, pp. 466-473. ISBN 9783031157578

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Abstract

Friction-induced vibration problems possess inherent randomness due to factors such as the roughness of the contact interface, nondeterministic external load, and stochastic driven velocities. The spatial randomness in friction caused by rough contact is only addressed in a few papers in the existing literature and can significantly impact the dynamics in practical engineering. In this paper, the spatial randomness in planar friction is considered by modelling the coefficient of friction (COF) as a random field. The statistical properties of the frictional forces and torque resulting from uneven distributed COF are analysed for a disc in the pure sliding planar motion. It is found that the coefficient of variation of the frictional forces and torque are strongly dependent on the ratio of correlation length of the COF random field to the geometrical characterised length of the disc. A numerical case is presented to illustrate the impact of COF random field modelling on the stick-slip effects. New three-variable stick-slip transition criteria are proposed to accomplish the analysis.

Item Type:	Book Section
Divisions:	Faculty of Science and Engineering > School of Engineering
Depositing User:	Symplectic Admin
Date Deposited:	21 Apr 2023 08:33
Last Modified:	15 Mar 2024 05:42
DOI:	10.1007/978-3-031-15758-5_47
Related URLs:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3169817