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Friction interface mechanics and self-induced vibrations
Citation Link: https://doi.org/10.15480/882.1148
Other Titles
Mechanik der Reibschicht und reibungsinduzierte Schwingungen
Publikationstyp
Doctoral Thesis
Publikationsdatum
2013
Sprache
English
Author
Advisor
Title Granting Institution
Technische Universität Hamburg
Place of Title Granting Institution
Hamburg
Examination Date
2013-11-22
Institut
Vibrations in braking systems have been studied since the beginning of the last
century and despite several insights, still many phenomena, particularly in the area of friction induced vibrations, are not fully understood. The objective of the actual study was the identification of the complex dynamics in the friction interface of a dry friction brake system. In this context, particular consideration was given to the generation of instabilities and brake squeal.
In work presently being undertaken, irregular vibration data of a dry friction brake in non-squealing condition were collected with sampling rates above 200 kHz. The resulting time series were subjected to linear, nonlinear and statistical analyses and in particular with regard to the involved multi-scale dynamics. At first, topological examination of the friction surfaces disclosed the microscale characteristics; visual inspections of the coating, generated on the brake disk insights in to the friction interface transformations. Secondly, linear investigations of the vibration data in the frequency domain provided first impressions of the friction interface: while the spectral frequency distribution remains mostly independent from mechanic parameters, it is essentially controlled by the pad formulation and physical and chemical interface transformations during the experiment. Thirdly, the data were explored on the basis of recurrence analysis and together with the estimation of dimensionality the phase space was reconstructed. Evidently, the irregular vibration states of friction brakes in non-squealing condition are strongly controlled both by apparently steady and disruptive phenomena (intermittency). The duration between the states was typically in the range of milliseconds. Phase space reconstruction and largest Lyapunov coefficient estimation indicated thereby that these phenomena are dominated more by low-dimensional chaotic deterministic dynamics than by high-dimensional stochastic processes. In the following, characteristic measures of the recurrence quantification analysis have been extracted which disclosed an interrelation with the noise
propensity of the overall brake system.
Finally, statistical studies of the distribution of vibration increments on the basis of probability density functions concluded the evaluation of the experiments. The distribution analyses disclosed the non-Gaussian characteristic of the vibration signals under steady sliding whereby the deviation from the normal distribution depends on the corresponding scale. Furthermore, the vibration during sliding in non-squealing condition is effectively generated by dynamics on different scales. And beyond that, the difference between the measured and the Gaussian distribution suggests a correlation between the squeal propensity and the deviation under consideration.
century and despite several insights, still many phenomena, particularly in the area of friction induced vibrations, are not fully understood. The objective of the actual study was the identification of the complex dynamics in the friction interface of a dry friction brake system. In this context, particular consideration was given to the generation of instabilities and brake squeal.
In work presently being undertaken, irregular vibration data of a dry friction brake in non-squealing condition were collected with sampling rates above 200 kHz. The resulting time series were subjected to linear, nonlinear and statistical analyses and in particular with regard to the involved multi-scale dynamics. At first, topological examination of the friction surfaces disclosed the microscale characteristics; visual inspections of the coating, generated on the brake disk insights in to the friction interface transformations. Secondly, linear investigations of the vibration data in the frequency domain provided first impressions of the friction interface: while the spectral frequency distribution remains mostly independent from mechanic parameters, it is essentially controlled by the pad formulation and physical and chemical interface transformations during the experiment. Thirdly, the data were explored on the basis of recurrence analysis and together with the estimation of dimensionality the phase space was reconstructed. Evidently, the irregular vibration states of friction brakes in non-squealing condition are strongly controlled both by apparently steady and disruptive phenomena (intermittency). The duration between the states was typically in the range of milliseconds. Phase space reconstruction and largest Lyapunov coefficient estimation indicated thereby that these phenomena are dominated more by low-dimensional chaotic deterministic dynamics than by high-dimensional stochastic processes. In the following, characteristic measures of the recurrence quantification analysis have been extracted which disclosed an interrelation with the noise
propensity of the overall brake system.
Finally, statistical studies of the distribution of vibration increments on the basis of probability density functions concluded the evaluation of the experiments. The distribution analyses disclosed the non-Gaussian characteristic of the vibration signals under steady sliding whereby the deviation from the normal distribution depends on the corresponding scale. Furthermore, the vibration during sliding in non-squealing condition is effectively generated by dynamics on different scales. And beyond that, the difference between the measured and the Gaussian distribution suggests a correlation between the squeal propensity and the deviation under consideration.
Schlagworte
Bremse
Intermittenz
Chaos
Zeitreihenanalyse
Bremsenquietschen
Reibungsinduzierte Schwingungen
Wahrscheinlichkeitsverteilung
Reibkontakt
friction brake
intermittency
chaos
time series analysis
brake noise
friction-induced vibrations
probability density distribution
DDC Class
620: Ingenieurwissenschaften
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