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

4 Structural optimization of automotive and bicycle brake discs
4.5.1 Optimization problem
The optimization problem to increase the distance between the eigenfrequencies
of the brake disc in a defined frequency range can be written as
max
p
s.t.
c eq (p) = 0
c(p) ≤ 0,
min
k
|f k+1 −f k |
(4.15)
where the parameters to be varied are given by
p = (b l , ϕ l , r h , b h , ϕ h , γ r , a r , ϕ r ) T . (4.16)
Figure 4.19 introduces these parameters in more detail. The optimization
a)
y
b)
b h n
r h n
ϕ h n
γ r n
ϕ l n
a r n
b l n
x
ϕ r n
x
Figure 4.19: a) Section of a top view on a brake disc to be optimized. b) More
detailed section of the top view to highlight the optimization variables varying
the rim of the friction ring.
parameters are: the width b l n and angle ϕl n of the legs connecting the support
and the friction ring, the radius rn h to and angle ϕ h n of each hole on the friction
ring and its diameter b h n and also the parameters γr n , ar n and ϕr n used to vary
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