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Commit 00c64593 authored by Amira Abdel-Rahman's avatar Amira Abdel-Rahman
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space time topology optimization initial

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......@@ -30,7 +30,7 @@ Main library/code in [here.](https://gitlab.cba.mit.edu/amiraa/metavoxels-code/-
<img src="./micr_3d/macroU_1.gif" width="40%" />
<img src="./micr_3d/microU_1.gif" width="40%" /><br></br>
## [5. Space-Time Topology Optimization](./top_opt/space_time/space_time.md)
## [5. Space-Time Topology Optimization](./space_time/space_time.md)
<img src="./space_time/animXphys_0.gif" width="40%" />
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02_Presentation/top_opt/space_time/animXphys_0.0.gif

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02_Presentation/top_opt/space_time/animXphys_0.5.gif

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02_Presentation/top_opt/space_time/animtPhys_0.0.gif

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02_Presentation/top_opt/space_time/animtPhys_0.5.gif

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......@@ -53,10 +53,27 @@ In space-time topology optimization, structural properties may be evaluated not
<img src="./bridgeProblem.png" width="80%" /><br></br>
<img src="./animXphys_0.0.gif" width="50%" /><br></br>
<img src="./animtPhys_0.0.gif" width="50%" /><br></br>
<img src="./theta_0.png" width="50%" /><br></br>
## $`\theta`$=0 (penal=5,rmin=1.5)
<img src="./animXphys_0.gif" width="80%" /><br></br>
<img src="./animtPhys_0.gif" width="80%" /><br></br>
Final:
<img src="./theta_0.5.png" width="50%" /><br></br>
<img src="./animXphys_0.5.gif" width="50%" /><br></br>
<img src="./animtPhys_0.5.gif" width="50%" /><br></br>
## $`\theta`$=0.5
Final:
<img src="./theta_0.5.png" width="50%" /><br></br>
<img src="./animXphys_0.5.gif" width="50%" /><br></br>
<img src="./animtPhys_0.5.gif" width="50%" /><br></br>
02_Presentation/top_opt/space_time/theta_0.5.png

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02_Presentation/top_opt/space_time/theta_0.png

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02_Presentation/top_opt/voxel_designer/newConcept.png

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02_Presentation/top_opt/voxel_designer/oldConcept.png

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......@@ -4,6 +4,9 @@ This is automated workflow for **the inverse design of voxel units** that exhibi
I formulated the problem as a constrained optimization problem, where, given a dense start domain of fully connected (or locally connected) truss/frame elements, the objective is to minimize the volume (sum of elements' areas) of the structure while respecting the equilibrium and desired deformation. A SIMP penalty pushes the area of members to be either be very big or very small. I derived the gradients for the objective function and the constraints and using MMA (Method of Moving Asymptotes) to do the search.
<img src="./oldConcept.png" width="80%" /> <br></br>
<img src="./newConcept.png" width="80%" /> <br></br>
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## Constrained Optimization Formulation for Compliant Mechanisms Design
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