This paper explores a proper way of predicting squeal frequencies using complex eigenvalue analysis and dynamic transient analysis, and examines the correlation between the two methodologies for a large degree-of-freedom disc brake model. The FE model and boundary conditions in both analyses must be the same, or as identical as possible (subject to software restrictions) for a fair comparison. Any difference in modelling may bias the finding on degree of correlation. The complex eigenvalue analysis is performed with an implicit version of ABAQUS whereas the dynamic transient analysis with an explicit version. Three different contact regimes, which are available in both versions of ABAQUS, are explored and simulated. It is found that the finite sliding scheme with Lagrange multiplier or penalty method does not produce a good correlation since the dynamic transient analysis produces a stable system while the complex eigenvalue analysis produces an unstable system with three unstable frequencies. For the small sliding scheme with Lagrange multiplier the dynamic transient analysis can predict very well one of the unstable frequencies, however, misses another one predicted in the complex eigenvalue analysis. Even though transient analysis is capable of predicting squal events and frequencies of disc brakes in theory, it may not be so in reality because of lack of sophistication in the modelling and algorithms that are available in the explicit version of ABAQUS. Other software packages that have been widely used in predicting disc brake squeal, such as MSC.Nastran and ANYS, do not have the capability of ABAQUS' complex eigenvalue solver and hence are not thought to warrant such a comparison at present.
Complex eigenvalue analysis and dynamic transient analysis in predicting disc brake squeal
Komplexe Eigenwertanalyse und dynamische Einschwinganalyse zur Prognose des Kreischens der Scheibenbremsen
International Journal of Vehicle Noise and Vibration ; 2 , 2 ; 143-155
2006
13 Seiten, 11 Bilder, 19 Quellen
Article (Journal)
English
Anwendung im Fahrzeugbau , Scheibenbremse , Eigenfunktion , Eigenwertanalyse , Einschwinganalyse , Prognose , Korrelation , Finite-Elemente-Methode , Maschinengeräusch , Lärmminderung , theoretisches Modell , Freiheitsgrad , Produktentwicklung , Fahrzeugbremse , Randbedingung , Anwenderprogramm , Modellmethode
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