Update Content - 2023-04-15

content/zettels/air_bearing.md

@@ -0,0 +1,71 @@
++++
+title = "Air Bearing"
+author = ["Dehaeze Thomas"]
+draft = false
++++
+
+Tags
+:
+
+
+## Advantages of air bearing {#advantages-of-air-bearing}
+
+Advantages of air bearings compared to roller bearings:
+
+-   **low friction**: because air bearing have almost zero static friction, this enables infinite resolution of motion that is highly repeatable.
+    Friction in air bearing is a function of air shear, which is itself a function of velocity.
+-   **zero wear**: non-contact motion means virtually zero wear owing to friction, resulting in consistent machine and minimal particulate generation
+-   **straighter motion**: rolling element bearings are directly influence by surface finishing and irregularities on the guide surface. The air bearing's fluid film layer averages these errors resulting in straighter motion
+-   **silent and smooth operation**: recirculating rollers or balls create noise and vibration as hard elements are loaded, unloaded and change directions in return tubes. Air bearings have no dynamic components resulting in virtually silent operation
+-   **higher damping**: being fluid film bearings, air bearings have a squeeze film damping effect resulting in higher dynamic stiffness and stability
+-   **no lubrication**:
+
+
+## Air bearing stiffness {#air-bearing-stiffness}
+
+Observing figure <fig:air_bearing_stiffness_gap>, we see that air bearings do not have a linear stiffness curve but rather an exponential one, producing higher and higher stiffness values as the film becomes thinner and the loading becomes higher.
+
+<a id="figure--fig:air-bearing-stiffness-gap"></a>
+
+{{< figure src="/ox-hugo/air_bearing_stiffness_gap.png" caption="<span class=\"figure-number\">Figure 1: </span>Lift/load curve of a typical air bearing. The slope of the curve is representative of the bearing stiffness. A vertical line represent infinite stiffness and an horizontal line would represent zero stiffness" >}}
+
+Because air is a compressible fluid, it possesses its own spring rate, or stiffness.
+Higher pressures effectively act as a preload on the "air spring", and if we thing of the air column as a spring of arbitrary height, compressing or shortening the spring will increase its stiffness as the air attempts to "push back".
+Stiffness in an air bearing system is a product of pressure in the air gap, thickness of the air gap and the projected surface area of the bearing.
+
+
+## Orifice and porous technology {#orifice-and-porous-technology}
+
+Air bearings generally fall into one of two categories: orifice or porous media bearings.
+
+In orifice compensation bearings, the precisely sized orifices are strategically placed on the bearing, and are often combined with groove to distribute the pressurized air as evenly as possible across the bearing face.
+However, should the bearing face become scratched across a groove or near an orifice, the volume or air which escapes via the scratch in the surface may be more than the orifice can supply, causing a bearing crash.
+
+Porous media air bearings control the airflow across the entire bearing surface through millions of sub-micron holes in the porous material.
+Due to the porous nature, even if some of the holes become clogged or damaged, the air will continue to be supplied to the majority of the bearing face.
+
+
+## Air Bearing Components {#air-bearing-components}
+
+| Manufacturer                                                                                                                                 | Country |
+|----------------------------------------------------------------------------------------------------------------------------------------------|---------|
+| [New way](https://www.newwayairbearings.com/catalog/components/) ([IBSPE](https://www.ibspe.com/air-bearings/flat-air-bearings) distributor) | USA     |
+| [Positechnics](http://positechnics.fr/index.adml?r=176)                                                                                      |         |
+| [Huber](https://www.xhuber.com/en/products/4-accessories/41-mechanics/airpads/)                                                              |         |
+
+
+## Linear Air Bearing Stages {#linear-air-bearing-stages}
+
+-   <https://microplan-group.com/en/>
+-   <https://www.aerotech.com/motion-and-positioning/stages-actuators-products/?pagenum=1&CATEGORY=Linear+Motion&AXIS+CONFIGURATION=Single+Axis&AXIS+ORIENTATION=Horizontal&BEARING+TYPE=Air+Bearing>
+-   <https://www.pi-usa.us/en/products/air-bearings-ultra-high-precision-stages/a-10x-piglide-rb-linear-air-bearing-module-900716>
+-   <https://www.ibspe.com/air-bearings/air-slides>
+
+
+## Spindle Air Bearing {#spindle-air-bearing}
+
+
+## Bibliography {#bibliography}
+
+<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
+</div>

content/zettels/complementary_filters.md

@@ -13,8 +13,14 @@ Tags
 The shaping of complementary filters can be done using the \\(\mathcal{H}\_\infty\\) synthesis (<a href="#citeproc_bib_item_1">Dehaeze, Vermat, and Collette 2019</a>).
 
 
+## First Order complementary filters {#first-order-complementary-filters}
+
+
+## Second Order complementary filters {#second-order-complementary-filters}
+
+
 ## Bibliography {#bibliography}
 
 <style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
-  <div class="csl-entry"><a id="citeproc_bib_item_1"></a>Dehaeze, Thomas, Mohit Vermat, and Christophe Collette. 2019. “Complementary Filters Shaping Using $h_\Infty$ Synthesis.” In <i>7th International Conference on Control, Mechatronics and Automation (Iccma)</i>, 459–64. doi:<a href="https://doi.org/10.1109/ICCMA46720.2019.8988642">10.1109/ICCMA46720.2019.8988642</a>.</div>
+  <div class="csl-entry"><a id="citeproc_bib_item_1"></a>Dehaeze, Thomas, Mohit Vermat, and Christophe Collette. 2019. “Complementary Filters Shaping Using $H_\Infty$ Synthesis.” In <i>7th International Conference on Control, Mechatronics and Automation (ICCMA)</i>, 459–64. doi:<a href="https://doi.org/10.1109/ICCMA46720.2019.8988642">10.1109/ICCMA46720.2019.8988642</a>.</div>
 </div>

content/zettels/electromagnetism.md

@@ -1,5 +1,6 @@
 +++
 title = "Electromagnetism"
+author = ["Dehaeze Thomas"]
 draft = false
 +++
 

content/zettels/encoders.md

@@ -1,5 +1,6 @@
 +++
 title = "Encoders"
+author = ["Dehaeze Thomas"]
 draft = false
 category = "equipment"
 +++
@@ -23,6 +24,8 @@ There are two main types of encoders: optical encoders, and magnetic encoders.
 | [AMO](https://www.amo-gmbh.com/en/)                                      | Australia   |
 | [NumerikJena](https://www.numerikjena.de/en/)                            | Germany     |
 | [RSF Elektronik](https://www.rsf.at/en/)                                 | Austria     |
+| [Flux](https://flux.gmbh/products/gmi-rotary-encoder/)                   | Austria     |
+| [Lika](https://www.lika.it/eng/)                                         | Italy       |
 
 
 ## Bibliography {#bibliography}

content/zettels/mass_spring_damper_systems.md

@@ -1,5 +1,6 @@
 +++
 title = "Mass Spring Damper Systems"
+author = ["Dehaeze Thomas"]
 draft = false
 +++
 
@@ -43,6 +44,14 @@ with:
 -   \\(\omega\_0 = \sqrt{k/m}\\) the natural frequency in [rad/s]
 -   \\(\xi = \frac{1}{2} \frac{c}{\sqrt{km}}\\) the damping ratio [unit-less]
 
+A quality factor \\(Q\\) can also be defined:
+
+\begin{equation}
+Q = \frac{1}{2\xi}
+\end{equation}
+
+This corresponds to the amplification at the natural frequency \\(\omega\_0\\).
+
 
 ### Matlab model {#matlab-model}
 
@@ -69,7 +78,7 @@ Gw = (c*s + k)/(m*s^2 + c*s + k);
 
 <a id="figure--fig:mass-spring-damper-1dof-transmissibility"></a>
 
-{{< figure src="/ox-hugo/mass_spring_damper_1dof_transmissibility.png" caption="<span class=\"figure-number\">Figure 1: </span>1dof Mass spring damper system - Transmissibility" >}}
+{{< figure src="/ox-hugo/mass_spring_damper_1dof_transmissibility.png" caption="<span class=\"figure-number\">Figure 3: </span>1dof Mass spring damper system - Transmissibility" >}}
 
 
 ## Two Degrees of Freedom {#two-degrees-of-freedom}
@@ -77,11 +86,11 @@ Gw = (c*s + k)/(m*s^2 + c*s + k);
 
 ### Model and equation of motion {#model-and-equation-of-motion}
 
-Consider the two degrees of freedom mass spring damper system of Figure [1](#figure--fig:mass-spring-damper-2dof).
+Consider the two degrees of freedom mass spring damper system of Figure [4](#figure--fig:mass-spring-damper-2dof).
 
 <a id="figure--fig:mass-spring-damper-2dof"></a>
 
-{{< figure src="/ox-hugo/mass_spring_damper_2dof.png" caption="<span class=\"figure-number\">Figure 1: </span>2 DoF Mass Spring Damper system" >}}
+{{< figure src="/ox-hugo/mass_spring_damper_2dof.png" caption="<span class=\"figure-number\">Figure 4: </span>2 DoF Mass Spring Damper system" >}}
 
 We can write the Newton's second law of motion to the two masses:
 
@@ -145,30 +154,30 @@ G_F1_to_d2 = -m2*s^2/((m1*s^2 + c1*s + k1)*(m2*s^2 + c2*s + k2) + m2*s^2*(c2*s +
 G_F2_to_d2 = (m1*s^2 + c1*s + k1)/((m1*s^2 + c1*s + k1)*(m2*s^2 + c2*s + k2) + m2*s^2*(c2*s + k2));
 ```
 
-From Figure [1](#figure--fig:mass-spring-damper-2dof-x0-bode-plots), we can see that:
+From Figure [5](#figure--fig:mass-spring-damper-2dof-x0-bode-plots), we can see that:
 
 -   the low frequency transmissibility is equal to one
 -   the high frequency transmissibility to the second mass is smaller than to the first mass
 
 <a id="figure--fig:mass-spring-damper-2dof-x0-bode-plots"></a>
 
-{{< figure src="/ox-hugo/mass_spring_damper_2dof_x0_bode_plots.png" caption="<span class=\"figure-number\">Figure 1: </span>Transfer functions from x0 to x1 and x2 (Transmissibility)" >}}
+{{< figure src="/ox-hugo/mass_spring_damper_2dof_x0_bode_plots.png" caption="<span class=\"figure-number\">Figure 5: </span>Transfer functions from x0 to x1 and x2 (Transmissibility)" >}}
 
-The transfer function from \\(F\_1\\) to the mass displacements (Figure [1](#figure--fig:mass-spring-damper-2dof-F1-bode-plots)) has the same shape than the transmissibility (Figure [1](#figure--fig:mass-spring-damper-2dof-x0-bode-plots)).
+The transfer function from \\(F\_1\\) to the mass displacements (Figure [6](#figure--fig:mass-spring-damper-2dof-F1-bode-plots)) has the same shape than the transmissibility (Figure [5](#figure--fig:mass-spring-damper-2dof-x0-bode-plots)).
 
 However, the low frequency gain is now equal to \\(1/k\_1\\).
 
 <a id="figure--fig:mass-spring-damper-2dof-F1-bode-plots"></a>
 
-{{< figure src="/ox-hugo/mass_spring_damper_2dof_F1_bode_plots.png" caption="<span class=\"figure-number\">Figure 1: </span>Transfer functions from F1 to x1 and x2" >}}
+{{< figure src="/ox-hugo/mass_spring_damper_2dof_F1_bode_plots.png" caption="<span class=\"figure-number\">Figure 6: </span>Transfer functions from F1 to x1 and x2" >}}
 
-The transfer functions from \\(F\_2\\) to the mass displacements are shown in Figure [1](#figure--fig:mass-spring-damper-2dof-F2-bode-plots):
+The transfer functions from \\(F\_2\\) to the mass displacements are shown in Figure [7](#figure--fig:mass-spring-damper-2dof-F2-bode-plots):
 
 -   the motion \\(x\_1\\) is smaller than \\(x\_2\\)
 
 <a id="figure--fig:mass-spring-damper-2dof-F2-bode-plots"></a>
 
-{{< figure src="/ox-hugo/mass_spring_damper_2dof_F2_bode_plots.png" caption="<span class=\"figure-number\">Figure 1: </span>Transfer functions from F2 to x1 and x2" >}}
+{{< figure src="/ox-hugo/mass_spring_damper_2dof_F2_bode_plots.png" caption="<span class=\"figure-number\">Figure 7: </span>Transfer functions from F2 to x1 and x2" >}}
 
 
 ## Bibliography {#bibliography}

content/zettels/power_spectral_density.md

@@ -9,7 +9,7 @@ Tags
 
 Tutorial about Power Spectral Density is accessible [here](https://research.tdehaeze.xyz/spectral-analysis/).
 
-A good article about how to use the `pwelch` function with Matlab (<a href="#citeproc_bib_item_1">Schmid 2012</a>).
+A good article about how to use the `pwelch` function with Matlab <schmid12_how_to_use_fft_matlab>.
 
 
 ## Parseval's Theorem - Linking the Frequency and Time domain {#parseval-s-theorem-linking-the-frequency-and-time-domain}
@@ -131,6 +131,4 @@ The comparison of the two method is shown in Figure [2](#figure--fig:psd-comp-pw
 
 ## Bibliography {#bibliography}
 
-<style>.csl-entry{text-indent: -1.5em; margin-left: 1.5em;}</style><div class="csl-bib-body">
-  <div class="csl-entry"><a id="citeproc_bib_item_1"></a>Schmid, Hanspeter. 2012. “How to Use the Fft and Matlab’s Pwelch Function for Signal and Noise Simulations and Measurements.” <i>Institute of Microelectronics</i>.</div>
-</div>
+<./biblio/references.bib>

content/zettels/transimpedance_amplifiers.md

@@ -54,6 +54,7 @@ See [this](https://www.hardware-x.com/article/S2468-0672(21)00062-6/fulltext) op
 | [Femto](https://www.femto.de/en/products/current-amplifiers.html)                                          | Germany |
 | [FMB Oxford](https://www.fmb-oxford.com/products/controls-2/control-modules/i404-quad-current-integrator/) | UK      |
 | [Thorlabs](https://www.thorlabs.com/newgrouppage9.cfm?objectgroup_id=7083)                                 | UK      |
+| [Koheron](https://www.koheron.com/photonics/pd4q-4-quadrant-photodetector)                                 | France  |
 
 
 ## Bibliography {#bibliography}