Update many posts

content/article/wang16_inves_activ_vibrat_isolat_stewar.md

@@ -0,0 +1,57 @@
++++
+title = "Investigation on active vibration isolation of a stewart platform with piezoelectric actuators"
+author = ["Thomas Dehaeze"]
+draft = false
++++
+
+Tags
+: [Stewart Platforms]({{< relref "stewart_platforms" >}}), [Vibration Isolation]({{< relref "vibration_isolation" >}}), [Flexible Joints]({{< relref "flexible_joints" >}})
+
+Reference
+: <sup id="db95fac7cd46c14e2b4f38e8ca4158fe"><a class="reference-link" href="#wang16_inves_activ_vibrat_isolat_stewar" title="Wang, Xie, Chen, Zhang \&amp; Zhiyi, Investigation on Active Vibration Isolation of a Stewart  Platform With Piezoelectric Actuators, {Journal of Sound and Vibration}, v(), 1-19 (2016).">(Wang {\it et al.}, 2016)</a></sup>
+
+Author(s)
+: Wang, C., Xie, X., Chen, Y., & Zhang, Z.
+
+Year
+: 2016
+
+**Model of the Stewart platform**:
+
+-   Struts are treated as flexible beams
+-   Payload and the base are treated as flexible plates
+-   The FRF synthesis method permits to derive FRFs of the Stewart platform
+
+The model is compared with a Finite Element model and is shown to give the same results.
+The proposed model is thus effective.
+
+<a id="orgd3fa417"></a>
+
+{{< figure src="/ox-hugo/wang16_stewart_platform.png" caption="Figure 1: Stewart Platform" >}}
+
+**Control**:
+Combines:
+
+-   the FxLMS-based adaptive inverse control => suppress transmission of periodic vibrations
+-   direct feedback of integrated forces => dampen vibration of inherent modes and thus reduce random vibrations
+
+Force Feedback (Figure [2](#org55d173d)).
+
+-   the force sensor is mounted **between the base and the strut**
+
+<a id="org55d173d"></a>
+
+{{< figure src="/ox-hugo/wang16_force_feedback.png" caption="Figure 2: Feedback of integrated forces in the platform" >}}
+
+Sorts of HAC-LAC control:
+
+-   LAC: Decentralized integral force feedback
+-   HAC: Inertial control using accelerometers. Use of the Jacobian to decouple the motion and then Fx-LMS based adaptive control is used
+
+**Experimental validation**:
+
+-   All 6 transfer function from actuator force to force sensors are almost the same (gain offset)
+-   Effectiveness of control methods are shown
+
+# Bibliography
+<a class="bibtex-entry" id="wang16_inves_activ_vibrat_isolat_stewar">Wang, C., Xie, X., Chen, Y., & Zhang, Z., *Investigation on active vibration isolation of a stewart platform with piezoelectric actuators*, Journal of Sound and Vibration, *383()*, 1–19 (2016).  http://dx.doi.org/10.1016/j.jsv.2016.07.021</a> [↩](#db95fac7cd46c14e2b4f38e8ca4158fe)