Topology Optimization

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Topology optimization is a mathematical method that spatially optimizes the distribution of material within a defined domain, by fulfilling given constraints previously established and minimizing a predefined cost function.

Topology optimization is different from shape optimization and sizing optimization in the sense that the design can attain any shape within the design space, instead of dealing with predefined configurations.

Text Source: Topology optimization / Wikipedia
Topology Optimization / ScienceDirect

Video Source:

1- MX3D Printed Bridge Update 2018/ Youtube/ MX3D
https://www.youtube.com/watch?v=STAHy6hTP14&t=37s

2- MX3D Bridge Placement, Amsterdam 2021 / Youtube / MX3D
https://www.youtube.com/watch?v=9WtixAddvtk

3- World's first 3D printed STEEL bridge | MX3D / Youtube / Belindar Carr
https://www.youtube.com/watch?v=cXnBWK-xHgE

4- Producing the world's first 3D-printed bridge with robots "is just the beginning" - Joris Laarman / Youtube / Dezeen
https://www.youtube.com/watch?v=SEaht2tQ8P8

5- Ameba Topology Optimization Software Based on Grasshopper / Youtube / Ameba
https://www.youtube.com/watch?v=0_VBPhoLRwI&t=1s

6- 3D concrete printing of a topology-optimized bridge/ Youtube/ Concrete3DLab Ghent
https://www.youtube.com/watch?v=oTW989PjyXI

7- Topology-optimized concrete bridge/ Youtube/ Concrete3DLab Ghent
https://www.youtube.com/watch?v=vlOrjYBL8Ww

8- Topology optimisation of a bridge / Youtube / Jordan Burgess
https://www.youtube.com/watch?v=UZCc3BkqV_Q

9- Topology optimization for additive manufacturing Part 1/4/ Youtube/ Jun Wu
https://www.youtube.com/watch?v=iBjtW53tmzI

10- Topology optimization for additive manufacturing Part 4/4/ Youtube/ Jun Wu
https://www.youtube.com/watch?v=YRVMKAZHqqg

11- 3F3D - Form Follows Force with 3D Printing / Youtube / Bayu Prayudhi
https://www.youtube.com/watch?v=GBfFC4YQt4o


Image Source :

[1]- 3D‐Printed Stay‐in‐Place Formwork for Topologically Optimized Concrete Slabs / ResearchGate / Andrei Jipa, Mathias Bernhard,Mania Meibodi , Benjamin Dillenburger
https://www.researchgate.net/profile/Andrei-Jipa/publication/327793571/figure/fig5/AS:673271431303168@1537531826304/Prototype-B-topology-optimization-of-a-slab-with-four-supports.png
https://www.researchgate.net/profile/Andrei-Jipa/publication/327793571/figure/fig1/AS:673271427108871@1537531825714/Prototype-A-topology-optimization-of-a-slab-with-three-supports.png
https://www.researchgate.net/profile/Andrei-Jipa/publication/327793571/figure/fig2/AS:673271427117062@1537531825832/Prototype-A-close-up-detail.png

[2]- New Opportunities to Optimize Structural Designs in Metal by Using Additive Manufacturing / ResearchGate / Salomé Galjaard Sander Hofman Shibo Ren
https://www.researchgate.net/profile/Salome-Galjaard-2/publication/278681542/figure/fig8/AS:294183862190082@1447150307266/The-optimized-node-after-topology-optimization-left-and-the-further-optimized.png
https://www.researchgate.net/profile/Salome-Galjaard-2/publication/278681542/figure/fig13/AS:668867869282315@1536481935515/Comparison-of-the-traditional-design-and-the-design-after-the-topology-optimization-Left.jpg

[3]- Topology Optimization is not Generative Design / Autodesk
https://i0.wp.com/www.autodesk.com/products/fusion-360/blog/wp-content/uploads/2020/03/JPL-Lander-05_with_overlay-scaled.jpg?resize=1536%2C864&ssl=1

[4]- ''Melonia'' shoes - designed by Naim Josefi / materialise
https://i.materialise.com/blog/wp-content/uploads/2011/08/melonia.jpg

[5]- A lightweight topology optimized motorcycle frame manufactured using metal 3D printing / formlabs
https://formlabs.com/eu/blog/topology-optimization/

[6]- TO flow / 3DPrint.com
https://engineeringproductdesign.com/knowledge-base/topology-optimization/

[7]- The bracket geometry with eight load cases / comsol.com
https://www.comsol.com/blogs/performing-topology-optimization-with-the-density-method/


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