Abstract
This paper presents an efficient reduction method for predicting the nonlinear transient and steady state squeal events in mechanical systems subjected to friction-induced vibration and noise. This proposed reduction technique is based on the Double Modal Synthesis (DMS) method that involves the use of a classical Craig & Bampton modal reduction on each substructure considering the interface surfaces associated to a condensation at the frictional interface based on complex modes.In this paper, the performances of some reduced bases based on the DMS strategy are investigated in the case of a finite element model of a simplified disc/pads system. The originality of the present work is to propose a comprehensive study on the convergence of the DMS method in order to predict not only the stability or the limit cycles of a simplified brake system but also the transient nonlinear self-excited vibrations, as well as the squeal noise. A special attention is brought to the convergence of the DMS method and more precisely the number of interfaces modes required to provide satisfactory results in regard to various criterion used to characterize the squeal.
Highlights
Mechanical instabilities due to friction are still of great interest in both academic and industrial research
If we focus on simulating and predicting brake squeal, the usual and classical numerical approach is to use nowadays a Finite Element Model (FEM) of the mechanical system under study
One objective of this paper is to address the efficiency of the generalized Double Modal Synthesis method for the prediction of self-excited vibration and squeal noise. It has been demonstrated in previous studies [10,12,13] that this numerical technique can significantly reduce the size of the original finite element model of the brake system by combining a classical modal reduction and a condensation at
Summary
Mechanical instabilities due to friction are still of great interest in both academic and industrial research. If we focus on simulating and predicting brake squeal, the usual and classical numerical approach is to use nowadays a Finite Element Model (FEM) of the mechanical system under study. One objective of this paper is to address the efficiency of the generalized Double Modal Synthesis method for the prediction of self-excited vibration and squeal noise It has been demonstrated in previous studies [10,12,13] that this numerical technique can significantly reduce the size of the original finite element model of the brake system by combining a classical modal reduction and a condensation at. Convergence of the Double Modal Synthesis is tested and discussed in detail for each criterion of brake squeal prediction
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