Cavity control influence on damping
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Cavity Control Influence on Damping. - Case 1: All cavity control on Pendulum 2. *. Pendulum 1. Pendulum 2. * Top to top mass transfer function. longitudinal. u 1 ,2. u 2,2. u 1 ,3. u 2,3. What you would expect – the quad is just hanging free.

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Cavity control influence on damping
Cavity Control Influence on Damping

- Case 1: All cavity control on Pendulum 2

*

Pendulum 1

Pendulum 2

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

  • What you would expect – the quad is just hanging free.

  • Note: both pendulums are identical in this simulation.

u1,4

u2,4

Control Law

0

1

G1200774


Cavity control influence on damping1
Cavity Control Influence on Damping

- Case 2: All cavity control on Pendulum 1

Pendulum 1

Pendulum 2

*

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

  • The top mass of pendulum 1 behaves like the UIM, PUM, and test mass are clamped to gnd.

  • This happens when the ugfs of the UIM, PUM, and test mass loops are above the quad’s resonant frequencies.

u1,4

u2,4

Control Law

1

0

G1200774


Cavity control influence on damping2
Cavity Control Influence on Damping

- Case 3: Cavity control split evenly between both pendulums

Pendulum 1

Pendulum 2

*

* Top to top mass transfer function

longitudinal

u1,2

u2,2

u1,3

u2,3

  • The top mass response is now an average of the previous two cases -> 5 resonances to damp.

  • Control up to the PUM, rather than the UIM, would yield 6 resonances.

  • aLIGO will likely behave like this.

u1,4

u2,4

Control Law

0.5

0.5

G1200774


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