From 00c64593a756b2817fadc0c1398a1903819ecbfa Mon Sep 17 00:00:00 2001
From: Amira Abdel-Rahman <amira-rahman@aucegypt.edu>
Date: Mon, 26 Apr 2021 12:40:32 -0400
Subject: [PATCH] space time topology optimization initial

---
 02_Presentation/top_opt/search.md             |   2 +-
 .../top_opt/space_time/animXphys_0.0.gif      | Bin 0 -> 52135 bytes
 .../top_opt/space_time/animXphys_0.5.gif      | Bin 0 -> 172358 bytes
 .../top_opt/space_time/animtPhys_0.0.gif      | Bin 0 -> 14351 bytes
 .../top_opt/space_time/animtPhys_0.5.gif      | Bin 0 -> 36416 bytes
 .../top_opt/space_time/space_time.md          |  21 ++++++++++++++++--
 .../top_opt/space_time/theta_0.5.png          | Bin 0 -> 26598 bytes
 .../top_opt/space_time/theta_0.png            | Bin 0 -> 28941 bytes
 .../top_opt/voxel_designer/newConcept.png     | Bin 0 -> 168124 bytes
 .../top_opt/voxel_designer/oldConcept.png     | Bin 0 -> 212322 bytes
 .../top_opt/voxel_designer/voxelDesignTool.md |   3 +++
 11 files changed, 23 insertions(+), 3 deletions(-)
 create mode 100644 02_Presentation/top_opt/space_time/animXphys_0.0.gif
 create mode 100644 02_Presentation/top_opt/space_time/animXphys_0.5.gif
 create mode 100644 02_Presentation/top_opt/space_time/animtPhys_0.0.gif
 create mode 100644 02_Presentation/top_opt/space_time/animtPhys_0.5.gif
 create mode 100644 02_Presentation/top_opt/space_time/theta_0.5.png
 create mode 100644 02_Presentation/top_opt/space_time/theta_0.png
 create mode 100644 02_Presentation/top_opt/voxel_designer/newConcept.png
 create mode 100644 02_Presentation/top_opt/voxel_designer/oldConcept.png

diff --git a/02_Presentation/top_opt/search.md b/02_Presentation/top_opt/search.md
index 428af98..1b7912b 100644
--- a/02_Presentation/top_opt/search.md
+++ b/02_Presentation/top_opt/search.md
@@ -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%" />
diff --git a/02_Presentation/top_opt/space_time/animXphys_0.0.gif b/02_Presentation/top_opt/space_time/animXphys_0.0.gif
new file mode 100644
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diff --git a/02_Presentation/top_opt/space_time/space_time.md b/02_Presentation/top_opt/space_time/space_time.md
index b29ed88..ac697ba 100644
--- a/02_Presentation/top_opt/space_time/space_time.md
+++ b/02_Presentation/top_opt/space_time/space_time.md
@@ -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>
+
diff --git a/02_Presentation/top_opt/space_time/theta_0.5.png b/02_Presentation/top_opt/space_time/theta_0.5.png
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diff --git a/02_Presentation/top_opt/voxel_designer/voxelDesignTool.md b/02_Presentation/top_opt/voxel_designer/voxelDesignTool.md
index 308175b..94f7ec5 100644
--- a/02_Presentation/top_opt/voxel_designer/voxelDesignTool.md
+++ b/02_Presentation/top_opt/voxel_designer/voxelDesignTool.md
@@ -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>
+
 ---
 ## Constrained Optimization Formulation for Compliant Mechanisms Design
 
-- 
GitLab