---
_id: '13188'
abstract:
- lang: eng
text: "The Kirchhoff rod model describes the bending and twisting of slender elastic
rods in three dimensions, and has been widely studied to enable the prediction
of how a rod will deform, given its geometry and boundary conditions. In this
work, we study a number of inverse problems with the goal of computing the geometry
of a straight rod that will automatically deform to match a curved target shape
after attaching its endpoints to a support structure. Our solution lets us finely
control the static equilibrium state of a rod by varying the cross-sectional profiles
along its length.\r\nWe also show that the set of physically realizable equilibrium
states admits a concise geometric description in terms of linear line complexes,
which leads to very efficient computational design algorithms. Implemented in
an interactive software tool, they allow us to convert three-dimensional hand-drawn
spline curves to elastic rods, and give feedback about the feasibility and practicality
of a design in real time. We demonstrate the efficacy of our method by designing
and manufacturing several physical prototypes with applications to interior design
and soft robotics."
acknowledged_ssus:
- _id: M-Shop
acknowledgement: We thank the anonymous reviewers for their generous feedback, and
Julian Fischer for his help in proving Proposition 1. This project has received
funding from the European Research Council (ERC) under the European Union’s Horizon
2020 research and innovation programme (grant agreement No. 715767).
article_number: '171'
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
citation:
ama: Hafner C, Bickel B. The design space of Kirchhoff rods. ACM Transactions
on Graphics. 2023;42(5). doi:10.1145/3606033
apa: Hafner, C., & Bickel, B. (2023). The design space of Kirchhoff rods. ACM
Transactions on Graphics. Association for Computing Machinery. https://doi.org/10.1145/3606033
chicago: Hafner, Christian, and Bernd Bickel. “The Design Space of Kirchhoff Rods.”
ACM Transactions on Graphics. Association for Computing Machinery, 2023.
https://doi.org/10.1145/3606033.
ieee: C. Hafner and B. Bickel, “The design space of Kirchhoff rods,” ACM Transactions
on Graphics, vol. 42, no. 5. Association for Computing Machinery, 2023.
ista: Hafner C, Bickel B. 2023. The design space of Kirchhoff rods. ACM Transactions
on Graphics. 42(5), 171.
mla: Hafner, Christian, and Bernd Bickel. “The Design Space of Kirchhoff Rods.”
ACM Transactions on Graphics, vol. 42, no. 5, 171, Association for Computing
Machinery, 2023, doi:10.1145/3606033.
short: C. Hafner, B. Bickel, ACM Transactions on Graphics 42 (2023).
date_created: 2023-07-04T07:41:30Z
date_published: 2023-09-20T00:00:00Z
date_updated: 2024-03-25T23:30:26Z
day: '20'
ddc:
- '516'
department:
- _id: BeBi
doi: 10.1145/3606033
ec_funded: 1
external_id:
isi:
- '001086833300010'
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date_updated: 2023-07-04T07:46:28Z
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content_type: application/pdf
creator: chafner
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date_updated: 2023-07-04T07:46:30Z
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file_size: 430086
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title: Cheat Sheet for Notation
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content_type: video/mp4
creator: chafner
date_created: 2023-07-04T07:46:39Z
date_updated: 2023-07-04T07:46:39Z
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file_size: 268088064
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creator: chafner
date_created: 2023-07-04T07:47:10Z
date_updated: 2023-07-04T07:47:10Z
file_id: '13193'
file_name: matlab-submission.zip
file_size: 25790
relation: supplementary_material
title: Matlab Source Code with Example
file_date_updated: 2023-07-04T08:11:28Z
has_accepted_license: '1'
intvolume: ' 42'
isi: 1
issue: '5'
keyword:
- Computer Graphics
- Computational Design
- Computational Geometry
- Shape Modeling
language:
- iso: eng
month: '09'
oa: 1
oa_version: Submitted Version
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
record:
- id: '12897'
relation: part_of_dissertation
status: public
status: public
title: The design space of Kirchhoff rods
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 42
year: '2023'
...
---
_id: '9817'
abstract:
- lang: eng
text: Elastic bending of initially flat slender elements allows the realization
and economic fabrication of intriguing curved shapes. In this work, we derive
an intuitive but rigorous geometric characterization of the design space of plane
elastic rods with variable stiffness. It enables designers to determine which
shapes are physically viable with active bending by visual inspection alone. Building
on these insights, we propose a method for efficiently designing the geometry
of a flat elastic rod that realizes a target equilibrium curve, which only requires
solving a linear program. We implement this method in an interactive computational
design tool that gives feedback about the feasibility of a design, and computes
the geometry of the structural elements necessary to realize it within an instant.
The tool also offers an iterative optimization routine that improves the fabricability
of a model while modifying it as little as possible. In addition, we use our geometric
characterization to derive an algorithm for analyzing and recovering the stability
of elastic curves that would otherwise snap out of their unstable equilibrium
shapes by buckling. We show the efficacy of our approach by designing and manufacturing
several physical models that are assembled from flat elements.
acknowledgement: "We thank the anonymous reviewers for their generous feedback, and
Michal Piovarči for his help in producing the supplemental video. This project has
received funding from the European Research Council (ERC) under the European Union’s
Horizon 2020 research and innovation programme (grant agreement No 715767).\r\n"
article_number: '126'
article_processing_charge: No
article_type: original
author:
- first_name: Christian
full_name: Hafner, Christian
id: 400429CC-F248-11E8-B48F-1D18A9856A87
last_name: Hafner
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
citation:
ama: Hafner C, Bickel B. The design space of plane elastic curves. ACM Transactions
on Graphics. 2021;40(4). doi:10.1145/3450626.3459800
apa: 'Hafner, C., & Bickel, B. (2021). The design space of plane elastic curves.
ACM Transactions on Graphics. Virtual: Association for Computing Machinery.
https://doi.org/10.1145/3450626.3459800'
chicago: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic
Curves.” ACM Transactions on Graphics. Association for Computing Machinery,
2021. https://doi.org/10.1145/3450626.3459800.
ieee: C. Hafner and B. Bickel, “The design space of plane elastic curves,” ACM
Transactions on Graphics, vol. 40, no. 4. Association for Computing Machinery,
2021.
ista: Hafner C, Bickel B. 2021. The design space of plane elastic curves. ACM Transactions
on Graphics. 40(4), 126.
mla: Hafner, Christian, and Bernd Bickel. “The Design Space of Plane Elastic Curves.”
ACM Transactions on Graphics, vol. 40, no. 4, 126, Association for Computing
Machinery, 2021, doi:10.1145/3450626.3459800.
short: C. Hafner, B. Bickel, ACM Transactions on Graphics 40 (2021).
conference:
end_date: 2021-08-13
location: Virtual
name: 'SIGGRAF: Special Interest Group on Computer Graphics and Interactive Techniques'
start_date: 2021-08-09
date_created: 2021-08-08T22:01:26Z
date_published: 2021-07-19T00:00:00Z
date_updated: 2024-03-25T23:30:26Z
day: '19'
ddc:
- '516'
department:
- _id: BeBi
doi: 10.1145/3450626.3459800
ec_funded: 1
external_id:
isi:
- '000674930900091'
file:
- access_level: open_access
checksum: 7e5d08ce46b0451b3102eacd3d00f85f
content_type: application/pdf
creator: chafner
date_created: 2021-10-18T10:42:15Z
date_updated: 2021-10-18T10:42:15Z
file_id: '10150'
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date_created: 2021-10-18T10:42:22Z
date_updated: 2021-10-18T10:42:22Z
file_id: '10151'
file_name: elastic-curves-supp.pdf
file_size: 547156
relation: supplementary_material
file_date_updated: 2021-10-18T10:42:22Z
has_accepted_license: '1'
intvolume: ' 40'
isi: 1
issue: '4'
keyword:
- Computing methodologies
- shape modeling
- modeling and simulation
- theory of computation
- computational geometry
- mathematics of computing
- mathematical optimization
language:
- iso: eng
month: '07'
oa: 1
oa_version: Published Version
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication: ACM Transactions on Graphics
publication_identifier:
eissn:
- 1557-7368
issn:
- 0730-0301
publication_status: published
publisher: Association for Computing Machinery
quality_controlled: '1'
related_material:
link:
- description: News on IST Website
relation: press_release
url: https://ist.ac.at/en/news/designing-with-elastic-structures/
record:
- id: '12897'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: The design space of plane elastic curves
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 40
year: '2021'
...
---
_id: '8366'
abstract:
- lang: eng
text: "Fabrication of curved shells plays an important role in modern design, industry,
and science. Among their remarkable properties are, for example, aesthetics of
organic shapes, ability to evenly distribute loads, or efficient flow separation.
They find applications across vast length scales ranging from sky-scraper architecture
to microscopic devices. But, at\r\nthe same time, the design of curved shells
and their manufacturing process pose a variety of challenges. In this thesis,
they are addressed from several perspectives. In particular, this thesis presents
approaches based on the transformation of initially flat sheets into the target
curved surfaces. This involves problems of interactive design of shells with nontrivial
mechanical constraints, inverse design of complex structural materials, and data-driven
modeling of delicate and time-dependent physical properties. At the same time,
two newly-developed self-morphing mechanisms targeting flat-to-curved transformation
are presented.\r\nIn architecture, doubly curved surfaces can be realized as cold
bent glass panelizations. Originally flat glass panels are bent into frames and
remain stressed. This is a cost-efficient fabrication approach compared to hot
bending, when glass panels are shaped plastically. However such constructions
are prone to breaking during bending, and it is highly\r\nnontrivial to navigate
the design space, keeping the panels fabricable and aesthetically pleasing at
the same time. We introduce an interactive design system for cold bent glass façades,
while previously even offline optimization for such scenarios has not been sufficiently
developed. Our method is based on a deep learning approach providing quick\r\nand
high precision estimation of glass panel shape and stress while handling the shape\r\nmultimodality.\r\nFabrication
of smaller objects of scales below 1 m, can also greatly benefit from shaping
originally flat sheets. In this respect, we designed new self-morphing shell mechanisms
transforming from an initial flat state to a doubly curved state with high precision
and detail. Our so-called CurveUps demonstrate the encodement of the geometric
information\r\ninto the shell. Furthermore, we explored the frontiers of programmable
materials and showed how temporal information can additionally be encoded into
a flat shell. This allows prescribing deformation sequences for doubly curved
surfaces and, thus, facilitates self-collision avoidance enabling complex shapes
and functionalities otherwise impossible.\r\nBoth of these methods include inverse
design tools keeping the user in the design loop."
acknowledged_ssus:
- _id: M-Shop
- _id: ScienComp
acknowledgement: "During the work on this thesis, I received substantial support from
IST Austria’s scientific service units. A big thank you to Todor Asenov and other
Miba Machine Shop team members for their help with fabrication of experimental prototypes.
In addition, I would like to thank Scientific Computing team for the support with
high performance computing.\r\nFinancial support was provided by the European Research
Council (ERC) under grant agreement No 715767 - MATERIALIZABLE: Intelligent fabrication-oriented
Computational Design and Modeling, which I gratefully acknowledge."
alternative_title:
- ISTA Thesis
article_processing_charge: No
author:
- first_name: Ruslan
full_name: Guseinov, Ruslan
id: 3AB45EE2-F248-11E8-B48F-1D18A9856A87
last_name: Guseinov
orcid: 0000-0001-9819-5077
citation:
ama: 'Guseinov R. Computational design of curved thin shells: From glass façades
to programmable matter. 2020. doi:10.15479/AT:ISTA:8366'
apa: 'Guseinov, R. (2020). Computational design of curved thin shells: From glass
façades to programmable matter. Institute of Science and Technology Austria.
https://doi.org/10.15479/AT:ISTA:8366'
chicago: 'Guseinov, Ruslan. “Computational Design of Curved Thin Shells: From Glass
Façades to Programmable Matter.” Institute of Science and Technology Austria,
2020. https://doi.org/10.15479/AT:ISTA:8366.'
ieee: 'R. Guseinov, “Computational design of curved thin shells: From glass façades
to programmable matter,” Institute of Science and Technology Austria, 2020.'
ista: 'Guseinov R. 2020. Computational design of curved thin shells: From glass
façades to programmable matter. Institute of Science and Technology Austria.'
mla: 'Guseinov, Ruslan. Computational Design of Curved Thin Shells: From Glass
Façades to Programmable Matter. Institute of Science and Technology Austria,
2020, doi:10.15479/AT:ISTA:8366.'
short: 'R. Guseinov, Computational Design of Curved Thin Shells: From Glass Façades
to Programmable Matter, Institute of Science and Technology Austria, 2020.'
date_created: 2020-09-10T16:19:55Z
date_published: 2020-09-21T00:00:00Z
date_updated: 2024-02-21T12:44:29Z
day: '21'
ddc:
- '000'
degree_awarded: PhD
department:
- _id: BeBi
doi: 10.15479/AT:ISTA:8366
ec_funded: 1
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file_name: thesis_source.zip
file_size: 76207597
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keyword:
- computer-aided design
- shape modeling
- self-morphing
- mechanical engineering
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
page: '118'
project:
- _id: 24F9549A-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '715767'
name: 'MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and
Modeling'
publication_identifier:
isbn:
- 978-3-99078-010-7
issn:
- 2663-337X
publication_status: published
publisher: Institute of Science and Technology Austria
related_material:
record:
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relation: research_data
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status: public
- id: '8562'
relation: part_of_dissertation
status: public
- id: '1001'
relation: part_of_dissertation
status: public
- id: '8375'
relation: research_data
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status: public
supervisor:
- first_name: Bernd
full_name: Bickel, Bernd
id: 49876194-F248-11E8-B48F-1D18A9856A87
last_name: Bickel
orcid: 0000-0001-6511-9385
title: 'Computational design of curved thin shells: From glass façades to programmable
matter'
type: dissertation
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
year: '2020'
...