Update all files with new citeproc-org package
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@@ -8,7 +8,7 @@ Tags
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: [Active Damping]({{< relref "active_damping" >}})
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Reference
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: ([Souleille et al. 2018](#org91c3531))
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: ([Souleille et al. 2018](#orgaa465de))
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Author(s)
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: Souleille, A., Lampert, T., Lafarga, V., Hellegouarch, S., Rondineau, A., Rodrigues, Gonccalo, & Collette, C.
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@@ -23,10 +23,10 @@ This article discusses the use of Integral Force Feedback with amplified piezoel
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## Single degree-of-freedom isolator {#single-degree-of-freedom-isolator}
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Figure [1](#org4fea547) shows a picture of the amplified piezoelectric stack.
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Figure [1](#org024c118) shows a picture of the amplified piezoelectric stack.
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The piezoelectric actuator is divided into two parts: one is used as an actuator, and the other one is used as a force sensor.
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<a id="org4fea547"></a>
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<a id="org024c118"></a>
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{{< figure src="/ox-hugo/souleille18_model_piezo.png" caption="Figure 1: Picture of an APA100M from Cedrat Technologies. Simplified model of a one DoF payload mounted on such isolator" >}}
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@@ -61,38 +61,38 @@ and the control force is given by:
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f = F\_s G(s) = F\_s \frac{g}{s}
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\end{equation}
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The effect of the controller are shown in Figure [2](#orgfc78016):
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The effect of the controller are shown in Figure [2](#orge334eeb):
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- the resonance peak is almost critically damped
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- the passive isolation \\(\frac{x\_1}{w}\\) is not degraded at high frequencies
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- the degradation of the compliance \\(\frac{x\_1}{F}\\) induced by feedback is limited at \\(\frac{1}{k\_1}\\)
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- the fraction of the force transmitted to the payload that is measured by the force sensor is reduced at low frequencies
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<a id="orgfc78016"></a>
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<a id="orge334eeb"></a>
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{{< figure src="/ox-hugo/souleille18_tf_iff_result.png" caption="Figure 2: Matrix of transfer functions from input (w, f, F) to output (Fs, x1) in open loop (blue curves) and closed loop (dashed red curves)" >}}
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{{< figure src="/ox-hugo/souleille18_root_locus.png" caption="Figure 3: Single DoF system. Comparison between the theoretical (solid curve) and the experimental (crosses) root-locus" >}}
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## Flexible payload mounted on three isolators {#flexible-payload-mounted-on-three-isolators}
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A heavy payload is mounted on a set of three isolators (Figure [4](#org2b1d225)).
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A heavy payload is mounted on a set of three isolators (Figure [4](#orga53fff7)).
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The payload consists of two masses, connected through flexible blades such that the flexible resonance of the payload in the vertical direction is around 65Hz.
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<a id="org2b1d225"></a>
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{{< figure src="/ox-hugo/souleille18_setup_flexible_payload.png" caption="Figure 4: Right: picture of the experimental setup. It consists of a flexible payload mounted on a set of three isolators. Left: simplified sketch of the setup, showing only the vertical direction" >}}
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As shown in Figure [5](#orge25f187), both the suspension modes and the flexible modes of the payload can be critically damped.
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As shown in Figure [5](#orge070a1d), both the suspension modes and the flexible modes of the payload can be critically damped.
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<a id="orge25f187"></a>
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<a id="orge070a1d"></a>
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{{< figure src="/ox-hugo/souleille18_result_damping_transmissibility.png" caption="Figure 5: Transmissibility between the table top \\(w\\) and \\(m\_1\\)" >}}
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## Bibliography {#bibliography}
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<a id="org91c3531"></a>Souleille, Adrien, Thibault Lampert, V Lafarga, Sylvain Hellegouarch, Alan Rondineau, Gonçalo Rodrigues, and Christophe Collette. 2018. “A Concept of Active Mount for Space Applications.” _CEAS Space Journal_ 10 (2). Springer:157–65.
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<a id="orgaa465de"></a>Souleille, Adrien, Thibault Lampert, V Lafarga, Sylvain Hellegouarch, Alan Rondineau, Gonçalo Rodrigues, and Christophe Collette. 2018. “A Concept of Active Mount for Space Applications.” _CEAS Space Journal_ 10 (2). Springer:157–65.
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