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| 8737f39b1a | 
@@ -12,10 +12,11 @@ Tags
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General purpose / PLC:
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| Manufacturer                                                                        |
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|-------------------------------------------------------------------------------------|
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| [Bechoff](https://www.beckhoff.com/fr-fr/products/i-o/ethercat-terminals/)          |
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| [Wago](https://www.wago.com/global/i-o-systems/fieldbus-coupler-ethercat/p/750-354) |
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| Manufacturer                                                                                 |
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|----------------------------------------------------------------------------------------------|
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| [Bechoff](https://www.beckhoff.com/fr-fr/products/i-o/ethercat-terminals/)                   |
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| [Wago](https://www.wago.com/global/i-o-systems/fieldbus-coupler-ethercat/p/750-354)          |
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| [Rexroth](https://apps.boschrexroth.com/microsites/ctrlx-automation/en/portfolio/ctrlx-i-o/) |
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Acquisition systems:
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@@ -9,6 +9,12 @@ Tags
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: [Slip Rings]({{< relref "slip_rings.md" >}})
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## Spindle Metrology {#spindle-metrology}
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-   <https://ingeniqs.be/engipedia/spindle-metrology/>
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-   <https://ingeniqs.be/engipedia/error-separation-techniques/>
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## Manufacturers {#manufacturers}
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| Manufacturers                                             | Country |
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| [PIC](https://www.airbearings.com/)                       | USA     |
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## Spindle Errors {#spindle-errors}
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### Air Bearing Spindle (RT150U) {#air-bearing-spindle--rt150u}
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<a id="figure--fig:rotation-stage-rt150u-xyz-errors"></a>
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{{< figure src="/ox-hugo/rotation_stage_rt150u_xyz_errors.png" caption="<span class=\"figure-number\">Figure 1: </span>RT150U - XYZ errors (eccentricity removed)" >}}
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```matlab
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%% Frequency Analysis
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Nfft = floor(10.0/Ts);
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win = hanning(Nfft);
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Noverlap = floor(Nfft/2);
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[pxx_ab_x, f_ab] = pwelch(x, win, Noverlap, Nfft, 1/Ts);
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[pxx_ab_y, ~   ] = pwelch(y, win, Noverlap, Nfft, 1/Ts);
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[pxx_ab_z, ~   ] = pwelch(z, win, Noverlap, Nfft, 1/Ts);
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```
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<a id="figure--fig:rotation-stage-rt150u-asd-errors"></a>
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{{< figure src="/ox-hugo/rotation_stage_rt150u_asd_errors.png" caption="<span class=\"figure-number\">Figure 2: </span>Amplitude Spectral Density of the Spindle errors" >}}
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<a id="figure--fig:rotation-stage-rt150u-cas-error"></a>
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{{< figure src="/ox-hugo/rotation_stage_rt150u_cas_error.png" caption="<span class=\"figure-number\">Figure 3: </span>Cumulative Amplitude Spectrum - RT150U" >}}
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### Mechanical Bearing Spindle (RT100BS) {#mechanical-bearing-spindle--rt100bs}
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```matlab
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%% 5 RPM - RT100BS from Lab Motion
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load('/home/thomas/mnt/data_mel/MEL/meas_equipment/spindle/RT100BS_roundness_5rev_5RPM.mat', 'data');
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Wz = 30; % 30 [deg/s] = 5 RPM
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x = 1e3*detrend(data.meet_data.raw, 0); % Radial Error [nm]
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Ts = 5*(360/Wz)/length(x);
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```
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```matlab
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%% Frequency Analysis
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Nfft = floor(10.0/Ts);
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win = hanning(Nfft);
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Noverlap = floor(Nfft/2);
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[pxx_mb_x, f_mb] = pwelch(x, win, Noverlap, Nfft, 1/Ts);
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```
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<a id="figure--fig:rotation-stage-rt100bs-asd-errors"></a>
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{{< figure src="/ox-hugo/rotation_stage_rt100bs_asd_errors.png" caption="<span class=\"figure-number\">Figure 4: </span>Amplitude Spectral Density of the Spindle errors" >}}
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<a id="figure--fig:rotation-stage-rt100bs-cas-error"></a>
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{{< figure src="/ox-hugo/rotation_stage_rt100bs_cas_error.png" caption="<span class=\"figure-number\">Figure 5: </span>Cumulative Amplitude Spectrum - RT100BS" >}}
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## Bibliography {#bibliography}
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<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
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