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Avoidance of brake squeal by a separation of the brake ... - tuprints

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2.2 Splitting <strong>of</strong> <strong>the</strong> <strong>brake</strong> rotor’s eigenfrequencies <strong>by</strong> asymmetry<br />

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<br />

<br />

<br />

I<br />

P<br />

B<br />

C<br />

<br />

<br />

<br />

Figure 2.4: Comparison <strong>of</strong> <strong>the</strong> minimal necessary <strong>separation</strong> <strong>of</strong> eigenfrequencies<br />

∆f for <strong>the</strong> four considered types <strong>of</strong> <strong>brake</strong> discs. Prototype <strong>brake</strong> disc (P), ceramic<br />

disc (C), cast iron disc (I), bicycle disc (B).<br />

<strong>brake</strong> disc requires a much higher <strong>separation</strong> <strong>of</strong> eigenfrequencies for <strong>squeal</strong><br />

avoidance and also shows affinity for <strong>brake</strong> <strong>squeal</strong> up to much higher frequencies.<br />

This partially originates from a stiffer <strong>brake</strong> pad and a higher friction<br />

coefficient between <strong>brake</strong> pad and disc, partially from a different geometry.<br />

In contrast, <strong>the</strong> much thinner cast iron <strong>brake</strong> disc, which is in contact with a<br />

<strong>brake</strong> pad <strong>of</strong> lower stiffness and has a higher damping, shows reduced affinity<br />

to <strong>squeal</strong>. This corresponds to <strong>the</strong> practical experience that less stiff <strong>brake</strong><br />

pads and higher damping frequently lead to <strong>brake</strong> systems less susceptible to<br />

<strong>squeal</strong>. In contrast to first intuition, <strong>the</strong> bicycle <strong>brake</strong> disc, which is a totally<br />

different kind <strong>of</strong> <strong>brake</strong> disc as is shown in Fig. 4.18, lies in <strong>the</strong> same range <strong>of</strong><br />

frequency split and <strong>squeal</strong> limit frequency as <strong>the</strong> o<strong>the</strong>r three types <strong>of</strong> <strong>brake</strong><br />

discs. The necessary <strong>separation</strong> <strong>of</strong> eigenfrequencies ∆f and <strong>the</strong> limit frequencies<br />

f lim for <strong>the</strong> four types <strong>of</strong> analyzed <strong>brake</strong> discs are given in Tab. 2.2. Some<br />

important conclusions can be drawn for <strong>the</strong> structural optimization <strong>of</strong> <strong>brake</strong><br />

discs that will be presented in <strong>the</strong> following chapters. The first is that it is<br />

not necessary to optimize in <strong>the</strong> whole audible frequency range up to 20 kHz<br />

but only up to a smaller limit frequency that can be estimated in advance if<br />

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