Modal Amplitude Stability Analysis and its application to brake squeal
Résumé
In the present study, a new approach is proposed to predict the occurrence of squeal in brake systems. This strategy, called Modal Amplitude Stability Analysis (MASA), is based on the calculation of the first harmonic state-space system of nonlinear original equations using a specific linearization of the nonlinear contact forces at the frictional interfaces. An estimation of the occurrence and generation of increasing self-excited vibration is proposed on the basis of monitoring and the evolution of the real parts of the dynamic system considered as a function of modal amplitudes. The application of the proposed MASA methodology to a real industrial brake system is presented. The occurrence of unstable modes and the generation of increasing self-excited vibrations strongly depends on the initial predefined modal amplitudes. The occurrence of new unstable modes (not predicted by classical stability analysis) can be detected. Therefore the MASA methodology appears to be a good compromise in terms of computing time and ease of implementation between the classical Complex Eigenvalue Analysis (CEA) and more complex nonlinear methods (such as the Generalized Constrained Harmonic Balance Method used to predict periodic and quasi-periodic motion).
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