Re: Squealing disc brake
Posted: 10 Mar 2023, 10:06pm
Squealing is caused by simple stick-slip motion.
When you push two surfaces to slide them one over the other, at first the force is insufficient to overcome the stiction (static friction), so the force deforms the components due to the modulus of the materials they’re made of. Eventually the materials have flexed enough that the force will overcome stiction, and they start to move, but at this point you now have the dynamic coefficient of friction, which is lower than the static coefficient. This means that there is an excess force over and above that required to get the motion started, so one surface accelerates over the other.
What happens now depends on how fast the motion is. If the movement is slow, the acceleration will be sufficient for the moving surface to catch up with the motion, so that the relative movement between the surfaces is again zero, and again the static coefficient pertains. Since some of the stress and strain accumulated at the start has now been released, we are back to the situation with insufficient force to overcome stiction, and the whole cycle repeats again as above. The result of this effect is that whilst the motion applied is smooth and continuous, the movement between the slipping surfaces is a series of stop-start lurches, and when these occur rapidly many times a second, the result is heard as a squeal.
That’s when motion is relatively slow. If you move the surfaces faster, what happens then is that once the stiction is broken at the start, the acceleration of the surfaces will be insufficient for the movement between them to catch up with the applied motion, and so the relative speed never returns to zero, and the stiction is never re-established. In this case, the surfaces slide over each other smoothly, and there is no squeal.
It’s very easy to demonstrate, here is a video with the modulus of the materials modelled with an elastic band, and the surfaces modelled by my diary on the dining room table. See how the movement progresses in a series of lurches when pulled slowly, and slides smoothly when pulled fast.
Here is exactly the same effect from the hinge on my lounge door, when I move the door as slowly as I can, you can hear each individual slip as a click, then as the door moves faster the clicks merge into a squeal with ever increasing pitch, and when it moves fast enough the squeal stops.