Friction-induced vibrations in the framework of dynamic substructuring
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ORIGINAL PAPER
Friction-induced vibrations in the framework of dynamic substructuring Jacopo Brunetti · Walter D’Ambrogio Annalisa Fregolent
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Received: 13 May 2020 / Accepted: 6 November 2020 © The Author(s) 2020
Abstract In complex vibrating systems, contact and friction forces can produce a dynamic response of the system (friction-induced vibrations). They can arise when different parts of the system move one with respect to the other generating friction force at the contact interface. Component mode synthesis and more in general substructuring techniques represent a useful and widespread tool to investigate the dynamic behavior of complex systems, but classical techniques require that the component subsystems and the coupling conditions (compatibility of displacements and equilibrium of forces) are time invariant. In this paper, a substructuring method is proposed that, besides accounting for the macroscopic sliding between substructures, is able to consider also the local vibrations of the contact points and the geometric nonlinearity due to the elastic deformation, by updating the coupling conditions accordingly. This allows to obtain a more reliable model of the contact interaction and to analyze friction-induced vibrations. Therefore, the models of J. Brunetti · W. D’Ambrogio (B) Dipartimento di Ingegneria Industriale e dell’Informazione e di Economia, Università dell’Aquila, Via G. Gronchi, 18, 67100 L’Aquila, AQ, Italy e-mail: [email protected] J. Brunetti e-mail: [email protected] A. Fregolent Dipartimento di Ingegneria Meccanica e Aerospaziale, Università di Roma La Sapienza, Via Eudossiana, 18, 00184 Roma, Italy e-mail: [email protected]
the component substructures are time invariant, while the coupling conditions become time dependent and a priori unknown. The method is applied to the study of a finite element model of two bodies in frictional contact, and the analysis is aimed to the validation of the proposed method for the study of dynamic instabilities due to mode coupling. Keywords Dynamic substructuring · Sliding friction · Friction-induced vibrations · Time-variant interface · Time-varying systems
1 Introduction In complex mechanical systems, the relative motion among components generates contact and friction forces at the contact interfaces. These forces produce a dynamic response of the system, known as frictioninduced vibrations [1,2], i.e., vibration and noise that in certain conditions can become relevant in terms of both structural integrity and comfort [3]. Friction-induced vibrations, and more generally contact problems, are naturally prone to be tackled using dynamic substructuring, because at least two different bodies in contact need to be considered. In fact, the aim of dynamic substructuring is to predict the dynamic behavior of a system made by component subsystems, starting from their dynamic behavior which is assumed to be known. A review on dynamic substructuring is provided in [4], where a
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general framework to set
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