From 2cdb7ec982a592e12073f47cbcc4dd10f2ce96ea Mon Sep 17 00:00:00 2001
From: Thomas Dehaeze Table of Contents
-
-The sources of perturbations are (schematically shown in figure 1): +The sources of perturbations are (schematically shown in figure 1):
-Because we cannot measure directly the perturbation forces, we have the measure the effect of those perturbations on the system (in terms of velocity for instance using geophones, \(D\) on figure 1) and then, using a model, compute the forces that induced such velocity. +Because we cannot measure directly the perturbation forces, we have the measure the effect of those perturbations on the system (in terms of velocity for instance using geophones, \(D\) on figure 1) and then, using a model, compute the forces that induced such velocity.
-
Figure 1: Schematic of the Micro Station and the sources of disturbance
@@ -321,18 +321,18 @@ Because we cannot measure directly the perturbation forces, we have the measure This file is divided in the following sections:
Figure 2: Sensitivity to Ground Motion (png, pdf)
@@ -389,7 +389,7 @@ G.OutputName = { +
Figure 3: Sensitivity to vertical forces applied by the Ty stage (png, pdf)
@@ -397,7 +397,7 @@ G.OutputName = { +
Figure 4: Sensitivity to vertical forces applied by the Rz stage (png, pdf)
@@ -405,11 +405,11 @@ G.OutputName = {- + The PSD of the relative velocity between the hexapod and the marble in \([(m/s)^2/Hz]\) are loaded for the following sources of disturbance:
-The Power Spectral Density of the relative motion/velocity of the hexapod with respect to the granite are shown in figures 5 and 6. +The Power Spectral Density of the relative motion/velocity of the hexapod with respect to the granite are shown in figures 5 and 6.
-The Cumulative Amplitude Spectrum of the relative motion is shown in figure 7. +The Cumulative Amplitude Spectrum of the relative motion is shown in figure 7.
-
Figure 5: Amplitude Spectral Density of the relative velocity of the hexapod with respect to the granite due to different sources of perturbation (png, pdf)
@@ -454,14 +454,14 @@ The Cumulative Amplitude Spectrum of the relative motion is shown in figure +
Figure 6: Amplitude Spectral Density of the relative displacement of the hexapod with respect to the granite due to different sources of perturbation (png, pdf)
Figure 7: Cumulative Amplitude Spectrum of the relative motion due to different sources of perturbation (png, pdf)
@@ -469,15 +469,15 @@ The Cumulative Amplitude Spectrum of the relative motion is shown in figure-Now, from the extracted transfer functions from the disturbance force to the relative motion of the hexapod with respect to the granite (section 2) and from the measured PSD of the relative motion (section 3), we can compute the PSD of the disturbance force. +Now, from the extracted transfer functions from the disturbance force to the relative motion of the hexapod with respect to the granite (section 2) and from the measured PSD of the relative motion (section 3), we can compute the PSD of the disturbance force.
Figure 8: Amplitude Spectral Density of the disturbance force (png, pdf)
@@ -495,11 +495,11 @@ tyz.psd_f = tyz.pxz_ty_r./abs -@@ -508,7 +508,7 @@ We should verify that this is coherent with the measurements.
-
Figure 9: Computed Effect of the disturbances on the relative displacement hexapod/granite (png, pdf)
@@ -516,7 +516,7 @@ We should verify that this is coherent with the measurements. -
We approximate the PSD of the disturbance with the following transfer functions.
@@ -541,14 +541,14 @@ G_gm = 0.
+
-
The PSD of the disturbance force are now saved for further noise budgeting when control is applied (the mat file is accessible here).
@@ -584,7 +584,7 @@ save(
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