Abstract
Abstract This study focuses on the prediction of the stability behavior of an industrial automotive brake system under structural and environmental uncertainties. Uncertainties are modeled with a random distribution or an interval and are propagated with a hybrid surrogate model associating polynomial chaos and kriging. The objective is to create a surrogate model of each eigenvalue computed with the complex eigenvalue analysis (CEA). As the modes can be tracked only when unstable, the effective size of the training sets can become extremely small. Despite this limitation, it is shown the hybrid meta-model is still able to predict the stability of the brake system. Moreover, the hybrid meta-model gives a direct access to the mean and variance of the eigenvalues with respect to the design parameters without any additional Monte Carlo simulations (MCS). By considering different probability density function for the friction coefficient, it is shown it has a high influence on the stability and the latter should be accurately estimated.
Highlights
Friction-induced vibrations are a complex and rich topic of research since several decades for both industrials and academics [1,2]
The results clearly show the strong sensitivity of the brake system stability to the friction coefficient probability law
A large number of unstable modes appear for each configuration with potentially complex crossover phenomena between the different unstable modes. These results show without any ambiguity the complexity of the phenomena involved and the potential difficulty to create an accurate hybrid surrogate model for predicting the stability of a FEM automotive brake system
Summary
Friction-induced vibrations are a complex and rich topic of research since several decades for both industrials and academics [1,2]. [23], Denimal et al presented a new hybrid surrogate model associating kriging with PCE It enables to deal with both random and parametric variables. When dealing with real FEM of industrial brake systems, one observes a high modal density together with numerous unstable modes and complex coupling phenomena. The hybrid surrogate method associating the PCE and the kriging is adopted to propagate both uncertainties simultaneously and to predict each unstable eigenvalue of the system. Different probability laws are considered for the friction coefficient, and in each case, the hybrid meta-modeling method is able to predict correctly the evolution of each unstable mode. The results clearly show the strong sensitivity of the brake system stability to the friction coefficient probability law
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