This paper presents the research devoted to the study of instability phenomena in non-linear model with a constant brake friction coefficient. Indeed, the impact of unstable oscillations can be catastrophic. It can cause vehicle control problems and component degradation. Accordingly, complex stability analysis is required. This paper outlines stability analysis and centre manifold approach for studying instability problems. To put it more precisely, one considers brake vibrations and more specifically heavy trucks judder where the dynamic characteristics of the whole front axle assembly is concerned, even if the source of judder is located in the brake system. The modelling introduces the sprag-slip mechanism based on dynamic coupling due to buttressing. The non-linearity is expressed as a polynomial with quadratic and cubic terms. This model does not require the use of brake negative coefficient, in order to predict the instability phenomena. Finally, the centre manifold approach is used to obtain equations for the limit cycle amplitudes. The centre manifold theory allows the reduction of the number of equations of the original system in order to obtain a simplified system, without loosing the dynamics of the original system as well as the contributions of non-linear terms. The goal is the study of the stability analysis and the validation of the centre manifold approach for a complex non-linear model by comparing results obtained by solving the full system and by using the centre manifold approach. The brake friction coefficient is used as an unfolding parameter of the fundamental Hopf bifurcation point.


    Zugriff

    Zugriff über TIB

    Verfügbarkeit in meiner Bibliothek prüfen

    Bestellung bei Subito €


    Exportieren, teilen und zitieren



    Titel :

    Analysis of friction and instability by the centre manifold theory for a non-linear sprag-slip model


    Weitere Titelangaben:

    Analyse von Reibung und Instabilität bei der zentralen Verzweigungstheorie für ein nichtlineares Hemmscheiben-Modell


    Beteiligte:
    Sinou, J.J. (Autor:in) / Thouverez, F. (Autor:in) / Jezequel, L. (Autor:in)

    Erschienen in:

    Erscheinungsdatum :

    2003


    Format / Umfang :

    33 Seiten, 18 Bilder, 1 Tabelle, 41 Quellen




    Medientyp :

    Aufsatz (Zeitschrift)


    Format :

    Print


    Sprache :

    Englisch





    Discrete Surface Dynamics: Distributed Sprag Slip Elements in Brakes

    Ostermeyer, Georg Peter / Recke, Bastian | British Library Conference Proceedings | 2017


    Discrete Surface Dynamics: Distributed Sprag Slip Elements in Brakes

    Recke, Bastian / Ostermeyer, Georg Peter | SAE Technical Papers | 2017


    Sprag solenoid brake

    Dane, P. H. | NTRS | 1972


    Sprag Handle Wrenches

    Vranishm, John M. | NTRS | 2010