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title = "Vibrations and dynamic isotropy in hexapods-analytical studies"
author = ["Thomas Dehaeze"]
draft = true
draft = false
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Tags
: [Stewart Platforms]({{<relref "stewart_platforms.md#" >}}), [Isotropy of Parallel Manipulator]({{<relref "isotropy_of_parallel_manipulator.md#" >}})
Reference
: ([Afzali-Far 2016](#orga93b30a))
: ([Afzali-Far 2016](#orge2f1c73))
Author(s)
: Afzali-Far, B.
@@ -95,7 +95,7 @@ Dynamic isotropy for the Stewart platform leads to a series of restrictive condi
When considering inertia of the struts, conditions are becoming more complex.
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{{< figure src="/ox-hugo/afzali-far16_isotropic_hexapod_example.png" caption="Figure 1: Architecture of the obtained dynamically isotropic hexapod" >}}
@@ -115,25 +115,28 @@ where \\(\sigma I\\) is a scaled identity matrix.
The isotropic constrain of the standard hexapod imposes special inertia of the top platform which may not be wanted in practice (\\(I\_{zz} = 4 I\_{yy} = 4 I\_{xx}\\)).
A class of generalized Gough-Stewart platforms are proposed to eliminate the above constrains.
Figure [2](#orgfab85fb) shows a schematic of proposed generalized hexapod.
Figure [2](#org14fbbb3) shows a schematic of proposed generalized hexapod.
<a id="orgfab85fb"></a>
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{{< figure src="/ox-hugo/afzali-far16_proposed_generalized_hexapod.png" caption="Figure 2: Parametrization of the proposed generalized hexapod" >}}
## Conclusions {#conclusions}
<summary>
<div class="sum">
<div></div>
The main findings of this dissertation are:
- Comprehensive and fully parametric model of the hexapod for symmetric configurations are established both in the Cartesian and joint space.
- Inertia of the struts are taken into account to refine the model.
- A novel approach in order to obtain dynamically isotropic hexapods is proposed.
- A novel architecture of hexapod is introduced (Figure [2](#orgfab85fb)) which is dynamically isotropic for a wide range of inertia properties.
</summary>
- A novel architecture of hexapod is introduced (Figure [2](#org14fbbb3)) which is dynamically isotropic for a wide range of inertia properties.
</div>
## Bibliography {#bibliography}
<a id="orga93b30a"></a>Afzali-Far, Behrouz. 2016. “Vibrations and Dynamic Isotropy in Hexapods-Analytical Studies.” Lund University.
<a id="orge2f1c73"></a>Afzali-Far, Behrouz. 2016. “Vibrations and Dynamic Isotropy in Hexapods-Analytical Studies.” Lund University.