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title = "Investigation on active vibration isolation of a stewart platform with piezoelectric actuators"
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author = ["Dehaeze Thomas"]
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draft = false
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: [Stewart Platforms]({{< relref "stewart_platforms.md" >}}), [Vibration Isolation]({{< relref "vibration_isolation.md" >}}), [Flexible Joints]({{< relref "flexible_joints.md" >}})
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Reference
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: (<a href="#citeproc_bib_item_1">Wang et al. 2016</a>)
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Author(s)
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: Wang, C., Xie, X., Chen, Y., & Zhang, Z.
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Year
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: 2016
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**Model of the Stewart platform**:
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- Struts are treated as flexible beams
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- Payload and the base are treated as flexible plates
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- The FRF synthesis method permits to derive FRFs of the Stewart platform
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The model is compared with a Finite Element model and is shown to give the same results.
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The proposed model is thus effective.
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<a id="figure--fig:wang16-stewart-platform"></a>
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{{< figure src="/ox-hugo/wang16_stewart_platform.png" caption="<span class='figure-number'>Figure 1: </span>Stewart Platform" >}}
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**Control**:
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Combines:
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- the FxLMS-based adaptive inverse control => suppress transmission of periodic vibrations
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- direct feedback of integrated forces => dampen vibration of inherent modes and thus reduce random vibrations
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Force Feedback ([Figure 2](#figure--fig:wang16-force-feedback)).
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- the force sensor is mounted **between the base and the strut**
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<a id="figure--fig:wang16-force-feedback"></a>
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{{< figure src="/ox-hugo/wang16_force_feedback.png" caption="<span class='figure-number'>Figure 2: </span>Feedback of integrated forces in the platform" >}}
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Sorts of HAC-LAC control:
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- LAC: Decentralized integral force feedback
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- HAC: Inertial control using accelerometers. Use of the Jacobian to decouple the motion and then Fx-LMS based adaptive control is used
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**Experimental validation**:
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- All 6 transfer function from actuator force to force sensors are almost the same (gain offset)
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- Effectiveness of control methods are shown
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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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<div class="csl-entry"><a id="citeproc_bib_item_1"></a>Wang, C., X. Xie, Y. Chen, and Z. Zhang. 2016. “Investigation on Active Vibration Isolation of a Stewart Platform with Piezoelectric Actuators.” <i>Journal of Sound and Vibration</i> 383. Elsevier BV: 1–19. doi:<a href="https://doi.org/10.1016/j.jsv.2016.07.021">10.1016/j.jsv.2016.07.021</a>.</div>
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</div>
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