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Analysis of epistemic uncertainty for the friction‐induced vibration
Author(s) -
Hanselowski A.,
Hanss M.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201300299
Subject(s) - parametric statistics , brake , uncertainty analysis , eigenvalues and eigenvectors , finite element method , disc brake , basis (linear algebra) , vibration , transient (computer programming) , fuzzy logic , propagation of uncertainty , uncertainty quantification , mathematics , control theory (sociology) , computer science , engineering , structural engineering , physics , algorithm , mechanical engineering , statistics , acoustics , geometry , control (management) , quantum mechanics , artificial intelligence , operating system
The phenomenon of brake squeal, which is a type of friction‐induced vibration, is analyzed using a pin‐on‐disc system. For this purpose, a finite element model is derived and its parameters are updated on the basis of experiments. The FEM analysis includes the complex eigenvalue analysis and the transient analysis. As the brake‐squeal phenomenon is very sensitive with respect to parametric uncertainty, the two numerical analyses are combined with an uncertainty analysis, which in this study is based on fuzzy arithmetic. The uncertainty analysis enables the determination of both the overall uncertainty of the considered output quantity and the influence of each individual uncertain model parameter on the overall uncertainty of the output. With this information about propagation and influence of parametric uncertainty in the system, the methods of complex eigenvalue analysis and transient analysis can be compared with respect to their appropriateness for predicting the tendency of the brake to squeal.