Model reduction for friction-induced vibration of multi-degree-of-freedom systems and experimental validation

Li, Zilin, Wang, Xiaocui, Zhang, Qi, Guan, Zhenqun, Mo, Jiliang and Ouyang, Huajiang ORCID: 0000-0003-0312-0326 (2018) Model reduction for friction-induced vibration of multi-degree-of-freedom systems and experimental validation. International Journal of Mechanical Sciences, 145. pp. 106-119.

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Abstract

Most frictional systems are composed of components that are in sliding contact. Thus they have natural contact interfaces on which normal contact forces and tangential friction forces are acting. These real systems are complicated and friction brings further complexity, which presents a challenge to their dynamic analysis and control. In this paper, a model reduction strategy for complicated frictional systems is put forward based on the idea of mode synthesis, and its applications and experimental validation are presented. Firstly, the accuracy of the reduction method and the feasibility of the reduced model in stability analysis are verified on a theoretical multi-degree-of-freedom frictional system. Then, a tribometer in the form of a pad-on-disc test rig is designed and built and its corresponding detailed finite element (FE) model is constructed. A specific reduction strategy for this real friction system which involves direct contact at the pad-disc interface, is proposed. It is found that the reduced model with 80 modes of each of the two substructures of the system can already correctly predict the mode-coupling instability of the full FE model (which has over 900,000 degrees of freedom) of the real system, and unstable frequencies that are fairly close to the unstable frequencies of the FE full model computed by Abaqus CEA and the vibration frequencies measured in the test on the tribometer, which demonstrates the efficiency and accuracy of the model reduction strategy for dynamic analysis of real friction systems. Its computational efficiency would be even much greater when applied to nonlinear dynamic analysis of real friction systems. Model reduction for friction-induced vibration validated by experiments has not been reported in the literature.

Item Type:	Article
Additional Information:	publisher: Elsevier articletitle: Model reduction for friction-induced vibration of multi-degree-of-freedom systems and experimental validation journaltitle: International Journal of Mechanical Sciences articlelink: https://doi.org/10.1016/j.ijmecsci.2018.06.039 content_type: article copyright: © 2018 Elsevier Ltd. All rights reserved.
Uncontrolled Keywords:	Friction-induced vibration, Model reduction, Stability analysis, Mode coupling, Tribometer
Depositing User:	Symplectic Admin
Date Deposited:	11 Sep 2018 11:02
Last Modified:	19 Jan 2023 01:25
DOI:	10.1016/j.ijmecsci.2018.06.039
Related URLs:	Author Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3025712