Update Content - 2021-02-01
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@@ -8,7 +8,7 @@ Tags
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: [Vibration Isolation]({{< relref "vibration_isolation" >}})
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Reference
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: ([Zuo 2004](#orgdb2a627))
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: ([Zuo 2004](#orgb4186fb))
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Author(s)
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: Zuo, L.
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@@ -16,6 +16,20 @@ Author(s)
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Year
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: 2004
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<div style="display: none;">
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\(
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\newcommand{\eatLabel}[2]{}
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\newenvironment{subequations}{\eatLabel}{}
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\)
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</div>
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\begin{equation}
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\begin{align}
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\left[ H\_{xf}(\omega) \right]\_{n \times n} &= \left[ S\_{x^\prime v}(\omega) \right]\_{n \times n} \left[ S\_{f^\prime v}(\omega) \right]\_{n \times n}^{-1} \\\\\\
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\left[ H\_{xf}(\omega) \right]\_{n \times n} &= \left[ S\_{f^\prime f^\prime}(\omega) \right]\_{n \times n}^{-1} \left[ S\_{x^\prime f^\prime}(\omega) \right]\_{n \times n}
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\end{align}
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\end{equation}
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> Vibration isolation systems can have various system architectures.
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> When we configure an active isolation system, we can use compliant actuators (such as voice coils) or stiff actuators (such as PZT stacks).
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> We also need to consider how to **combine the active actuation with passive elements**: we can place the actuator in parallel or in series with the passive elements.
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@@ -26,23 +40,23 @@ Year
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> They found that coupling from flexible modes is much smaller than in soft active mounts in the load (force) feedback.
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> Note that reaction force actuators can also work with soft mounts or hard mounts.
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<a id="org8018206"></a>
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<a id="orgd66c057"></a>
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{{< figure src="/ox-hugo/zuo04_piezo_spring_series.png" caption="Figure 1: PZT actuator and spring in series" >}}
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<a id="org8874676"></a>
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<a id="org1008b43"></a>
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{{< figure src="/ox-hugo/zuo04_voice_coil_spring_parallel.png" caption="Figure 2: Voice coil actuator and spring in parallel" >}}
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<a id="orga7046e2"></a>
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<a id="orgab03e30"></a>
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{{< figure src="/ox-hugo/zuo04_piezo_plant.png" caption="Figure 3: Transmission from PZT voltage to geophone output" >}}
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<a id="org735f298"></a>
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<a id="orgc03f8c8"></a>
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{{< figure src="/ox-hugo/zuo04_voice_coil_plant.png" caption="Figure 4: Transmission from voice coil voltage to geophone output" >}}
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## Bibliography {#bibliography}
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<a id="orgdb2a627"></a>Zuo, Lei. 2004. “Element and System Design for Active and Passive Vibration Isolation.” Massachusetts Institute of Technology.
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<a id="orgb4186fb"></a>Zuo, Lei. 2004. “Element and System Design for Active and Passive Vibration Isolation.” Massachusetts Institute of Technology.
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