Update Content - 2022-03-15

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2022-03-15 16:40:48 +01:00
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commit 22fb3361a5
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title = "Mass Spring Damper Systems"
author = ["Thomas Dehaeze"]
author = ["Dehaeze Thomas"]
draft = false
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@@ -10,7 +10,7 @@ Tags
## Actuated Mass Spring Damper System {#actuated-mass-spring-damper-system}
Let's consider Figure [1](#orgbf5f22b) where:
Let's consider Figure [1](#figure--fig:mass-spring-damper-system) where:
- \\(m\\) is the mass in [kg]
- \\(ḱ\\) is the spring stiffness in [N/m]
@@ -20,9 +20,9 @@ Let's consider Figure [1](#orgbf5f22b) where:
- \\(w\\) is ground motion
- \\(x\\) is the absolute mass motion
<a id="orgbf5f22b"></a>
<a id="figure--fig:mass-spring-damper-system"></a>
{{< figure src="/ox-hugo/mass_spring_damper_system.png" caption="Figure 1: Mass Spring Damper System" >}}
{{< figure src="/ox-hugo/mass_spring_damper_system.png" caption="<span class=\"figure-number\">Figure 1: </span>Mass Spring Damper System" >}}
Let's write the transfer function from \\(F\\) to \\(x\\):
@@ -54,3 +54,9 @@ with:
\begin{equation}
\frac{x}{F\_d}(s) = \frac{1/k}{\frac{s^2}{\omega\_0^2} + 2 \xi \frac{s}{\omega\_0} + 1}
\end{equation}
## Bibliography {#bibliography}
<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
</div>