Prediction of Squeal Noise Based on Multiresolution Signal Decomposition and Wavelet Representation—Application to FEM Brake Systems Subjected to Friction-Induced Vibration

Abstract

This paper is devoted to discussion of the efficiency of reduced models based on a Double Modal Synthesis method that combines a classical modal reduction and a condensation at the frictional interfaces by computing a reduced complex mode basis, for the prediction of squeal noise of mechanical systems subjected to friction-induced vibration. More specifically, the use of the multiresolution signal decomposition of acoustic radiation and wavelet representation will be proposed to analyze details of a pattern on different observation scales ranging from the pixel to the size of the complete acoustic pattern. Based on this approach and the definition of specific resulting criteria, it is possible to quantify the differences in the representation of the acoustic fields for different reduced models and thus to perform convergence studies for different scales of representation in order to evaluate the potential of reduced models. The effectiveness of the proposed approach is tested on the finite element model of a simplified brake system that is composed of a disc and two pads. The contact is modeled by introducing contact elements at the two friction interfaces with the classical Coulomb law and a constant friction coefficient. It is demonstrated that the new proposed criteria, based on multiresolution signal decomposition, allow us to provide satisfactory results for the choice of an efficient reduced model for predicting acoustic radiation due to squeal noise.

A nonlinear FE model for wheel/rail curve squeal in the time-domain including acoustic predictions

“…In the frequency domain, the force PSDs presented Fig. 16b self-sustained vibrations due to the unstable dynamic behavior of mechanical systems with friction such as brake squeal [42][43][44], the excitation due to curve squeal is clearly different from that of the rolling noise [1]: there is a fundamental frequency which corresponds to a resonance and harmonics which do not correspond to resonances of the wheel. The fundamental frequency is close to unstable frequency found in stability analysis, which is also close to natural frequency of the wheel.…”

Contribution Analysis of Assembled Brake System to Reduce Squealing

“…A contribution analysis of the assembled brake system was conducted using the obtained spectral response vectors for each subpart. The theoretical background was the component contribution using the response spectrum data under the selected excitation situation [11,12,19,20]. Previous studies have performed a contribution analysis on complex brake systems over squealing noise problems.…”

“…Juraj et al [18] evaluated the influence of damping variations in the brake pad and disk using an FE model, and Van-Vuong et al [19] focused on the effect of multiscale contact localization at a simplified pad on a disk system. Grégoire et al [20] evaluated the efficiency of the double modal synthesis method in predicting squealing, and Arn et al [21] calculated the friction coefficient of the brake system from a microscale model and transferred it to a macroscale multibody simulation.…”

Wavelet-Gaussian Process Regression Model for Regression Daily Solar Radiation in Ghardaia, Algeria

“…The continuous wavelet transform (CWT) of a function f(t), compared to the mother wavelet ( ) can be written by the following integral [24]:…”

“…where, n and k are integers and = 0 , = 0 0 . More details on Wavelet transform can be found in the literature [24] and [25].…”