Stability of dynamical systems with applications to brake squeal. A port-Hamiltonian approach.

Brake squeal is an annoying phenomenon in almost all technical brake systems. It is a resonance phenomenon associated with a flutter instability.

To remove brake squeal it is necessary to carry out a stability analysis for extremely large finite element models of brakes and to optimize damping material properties. A new approach of energy based modeling for brake systems  is presented that allows to check instability/stability of the systems using the structure of the models. This port-Hamiltonian system description directly shows the origins for the squeal and leads to very efficient methods to compute stability radii and to robustly optimize the oscillation properties of brake systems.



*Pictures (source) courtesy by the invited speaker