Worker: Yuefan Guo, Daisuke TATSUMI
We failed to set suspension wire of BS mirror.
We try three times and always break the suspesion wire during the pulling up
the aluminum dummy mirror.
I guess that these failure come from systematic reasons.
Therefore, we stop the work today.
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I know the safy factor of tensile strength is about 2 for 10cm fused silica mirror.
Because BS mirror has different dimensions, I calculate several parameters.
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1) Tensile strength of tungsten wires
2500-3500 N/mm^2
2) Wire dimensions
Diameter 50 micro-meter
Number of wires 4
-->
2500 N/mm^2 * (0.025 * 0.025 * pi) * 4
= 19.6 N
= 2.0 kgf
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3) Mass of mirror and dummy
Diameter 1 0cm / Thickness 6 cm Volume = 471 cm^3
Diameter 15 cm / Thickness 4 cm Volume = 707 cm^3
Density of
Fused silica 2.20 g/cm^3
Aluminum alloy 5052 2.68 g/cm^3
Weight of
10cm / Fused silica 1036 g
10cm / Aluminum 1262 g
15cm / Fused silica 1555 g
15cm / Aluminum 1895 g
It means that for 15cm alumimum dummy mirror,
there is almost no safety factor. If tension balance of four wires is not good,
the wires will break easily.
I decide to change the wire diameter to 100 micron.
P.S.
High wire tensions are needed to reduce its mechanical loss.
For stearing mirror of the filter cavity, we do not take car of thermal noises.