EIGENVALUES EVALUATION OF GENERALLY DAMPED ELASTIC DISC BRAKE MODEL LOADED WITH NON-CONSERVATIVE FRICTION FORCE

Authors

  • Juraj Úradníček Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.
  • Miloš Musil Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.
  • Michal Bachratý Institute of Manufacturing Systems, Environmental Technology and Quality Management, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.

DOI:

https://doi.org/10.14311/AP.2020.60.0081

Keywords:

Eigenvalues bifurcation, Krein collision, non-conservative force, modal decomposition, brake squeal.

Abstract

This paper deals with the evaluation of eigenvalues of a linear damped elastic two-degrees-of-freedom system under a non- onservative loading. As a physical interpretation of a proposed mathematical model, a simplified disk brake model is considered. A spectral analysis is performed to predict an eigenvalues bifurcation, known as the Krein collision, leading to double eigenvalues, one of them having a positive real part causing a vibration instability of the mechanical systems. This defective behaviour of eigenvalues is studied with respect to a magnitude of non-conservative Coulomb friction force, through the variation of the friction coefficient. The influence of a proportional versus general damping on the system stability is further analysed. The generalized non-symmetric eigenvalue problem calculation is employed for spectral analyses, while a modal decomposition is performed to obtain a time-domain response of the system. The analyses are compared with an experiment.

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Author Biographies

  • Juraj Úradníček, Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.
    Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, lecturer.
  • Miloš Musil, Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.
    Institute of Applied Mechanics and Mechatronics, Faculty of Mechanical Engineering, proffesor.
  • Michal Bachratý, Institute of Manufacturing Systems, Environmental Technology and Quality Management, Faculty of Mechanical Engineering, Slovak University of Technology, Námestie Slobody 17, 82131 Bratislava, Slovak republic.
    Institute of Manufacturing Systems, Environmental Technology and Quality Management, Faculty of Mechanical Engineering, ass. proffesor

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Published

2020-03-02

Issue

Vol. 60 No. 1 (2020)

Section

Articles

How to Cite

Úradníček, J., Musil, M., & Bachratý, M. (2020). EIGENVALUES EVALUATION OF GENERALLY DAMPED ELASTIC DISC BRAKE MODEL LOADED WITH NON-CONSERVATIVE FRICTION FORCE. Acta Polytechnica, 60(1), 81-87. https://doi.org/10.14311/AP.2020.60.0081
Received 2019-04-03
Accepted 2020-01-21
Published 2020-03-02