---
_id: '12801'
abstract:
- lang: eng
  text: The present contribution derives a theoretical framework for constructing
    novel geometrical constraints in the context of density-based topology optimization.
    Principally, the predefined geometrical dimensionality is enforced locally on
    the components of the optimized structures. These constraints are defined using
    the principal values (singular values) from a singular value decomposition of
    points clouds represented by elemental centroids and the corresponding relative
    density design variables. The proposed approach is numerically implemented for
    demonstrating the designing of lattice or membrane-like structures. Several numerical
    examples confirm the validity of the derived theoretical framework for geometric
    dimensionality control.
article_number: '160'
author:
- first_name: Nikolai
  full_name: Gerzen, Nikolai
  id: '76704'
  last_name: Gerzen
- first_name: Thorsten
  full_name: Mertins, Thorsten
  last_name: Mertins
- first_name: Claus B. W.
  full_name: Pedersen, Claus B. W.
  last_name: Pedersen
citation:
  ama: Gerzen N, Mertins T, Pedersen CBW. Geometric dimensionality control of structural
    components in topology optimization. <i>Structural and Multidisciplinary Optimization</i>.
    2022;65(5). doi:<a href="https://doi.org/10.1007/s00158-022-03252-7">10.1007/s00158-022-03252-7</a>
  apa: Gerzen, N., Mertins, T., &#38; Pedersen, C. B. W. (2022). Geometric dimensionality
    control of structural components in topology optimization. <i>Structural and Multidisciplinary
    Optimization</i>, <i>65</i>(5), Article 160. <a href="https://doi.org/10.1007/s00158-022-03252-7">https://doi.org/10.1007/s00158-022-03252-7</a>
  bjps: <b>Gerzen N, Mertins T and Pedersen CBW</b> (2022) Geometric Dimensionality
    Control of Structural Components in Topology Optimization. <i>Structural and Multidisciplinary
    Optimization</i> <b>65</b>.
  chicago: Gerzen, Nikolai, Thorsten Mertins, and Claus B. W. Pedersen. “Geometric
    Dimensionality Control of Structural Components in Topology Optimization.” <i>Structural
    and Multidisciplinary Optimization</i> 65, no. 5 (2022). <a href="https://doi.org/10.1007/s00158-022-03252-7">https://doi.org/10.1007/s00158-022-03252-7</a>.
  chicago-de: Gerzen, Nikolai, Thorsten Mertins und Claus B. W. Pedersen. 2022. Geometric
    dimensionality control of structural components in topology optimization. <i>Structural
    and Multidisciplinary Optimization</i> 65, Nr. 5. doi:<a href="https://doi.org/10.1007/s00158-022-03252-7">10.1007/s00158-022-03252-7</a>,
    .
  din1505-2-1: '<span style="font-variant:small-caps;">Gerzen, Nikolai</span> ; <span
    style="font-variant:small-caps;">Mertins, Thorsten</span> ; <span style="font-variant:small-caps;">Pedersen,
    Claus B. W.</span>: Geometric dimensionality control of structural components
    in topology optimization. In: <i>Structural and Multidisciplinary Optimization</i>
    Bd. 65. Berlin, Springer Science and Business Media LLC (2022), Nr. 5'
  havard: N. Gerzen, T. Mertins, C.B.W. Pedersen, Geometric dimensionality control
    of structural components in topology optimization, Structural and Multidisciplinary
    Optimization. 65 (2022).
  ieee: 'N. Gerzen, T. Mertins, and C. B. W. Pedersen, “Geometric dimensionality control
    of structural components in topology optimization,” <i>Structural and Multidisciplinary
    Optimization</i>, vol. 65, no. 5, Art. no. 160, 2022, doi: <a href="https://doi.org/10.1007/s00158-022-03252-7">10.1007/s00158-022-03252-7</a>.'
  mla: Gerzen, Nikolai, et al. “Geometric Dimensionality Control of Structural Components
    in Topology Optimization.” <i>Structural and Multidisciplinary Optimization</i>,
    vol. 65, no. 5, 160, 2022, <a href="https://doi.org/10.1007/s00158-022-03252-7">https://doi.org/10.1007/s00158-022-03252-7</a>.
  short: N. Gerzen, T. Mertins, C.B.W. Pedersen, Structural and Multidisciplinary
    Optimization 65 (2022).
  ufg: '<b>Gerzen, Nikolai/Mertins, Thorsten/Pedersen, Claus B.W.</b>: Geometric dimensionality
    control of structural components in topology optimization, in: <i>Structural and
    Multidisciplinary Optimization</i> 65 (2022), H. 5.'
  van: Gerzen N, Mertins T, Pedersen CBW. Geometric dimensionality control of structural
    components in topology optimization. Structural and Multidisciplinary Optimization.
    2022;65(5).
date_created: 2025-04-16T05:58:58Z
date_updated: 2025-06-26T13:39:04Z
department:
- _id: DEP3020
doi: 10.1007/s00158-022-03252-7
external_id:
  isi:
  - '000796069200001'
intvolume: '        65'
isi: '1'
issue: '5'
keyword:
- Manufacturing constraints
- Topology optimization
- Geometric constraints
- Gradient based structural optimization
- Lattice designing
- Additive manufacturing
language:
- iso: eng
place: Berlin
publication: Structural and Multidisciplinary Optimization
publication_identifier:
  eissn:
  - 1615-147X
  issn:
  - 1615-1488
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Geometric dimensionality control of structural components in topology optimization
type: scientific_journal_article
user_id: '83781'
volume: 65
year: '2022'
...
---
_id: '457'
abstract:
- lang: eng
  text: "Additive Manufacturing (AM) increasingly enables the realization of structures,
    which have a much greater freedom of design und can therefore better  use  nature
    \ as  a  design  ideal.  Bionic  design  principles  have  already been introduced
    \ into  general  design  approaches,  and  several topology optimization systems
    (TO) are available today to increase structural stiffness and  to  enable  lightweight
    \ design.  AM  and  TO,  used  in  synergy,  promise completely  new  application
    areas. However,  staircase effects resulting from a  layer-by-layer  build  process
    \ and  unavoidable  support  structures  which must be mechanically removed afterwards
    are disadvantageous with respect to surface texture and strength properties.\r\nThe
    present article addresses the question  of how far the notches resulting from
    the staircase effect of Additive Manufacturing and the support structures  removed
    \ decrease  the  strength  of  components.  Most  engineers try  to follow the
    inner flow of forces in a part’s design by smoothening surfaces in notched areas.
    Considering  this,  a  elected component  is investigated  with  finite  element
    \ analysis  (FEA)  with  special  regard  for  the concentration  of  tress arising
    from surface notch effects. An outlook is given as regards how a reduction of
    the notch effect from the taircase effect can be achieved effectively."
author:
- first_name: Eva
  full_name: Scheideler, Eva
  id: '61522'
  last_name: Scheideler
- first_name: Franz-Josef
  full_name: Villmer, Franz-Josef
  id: '14290'
  last_name: Villmer
- first_name: G.
  full_name: Adam, G.
  last_name: Adam
- first_name: Mirco
  full_name: Timmer, Mirco
  id: '69228'
  last_name: Timmer
conference:
  end_date: 2016-09-30
  location: Lemgo
  name: Proceedings 6th International Conference
  start_date: 2016-09-29
corporate_editor:
- Department of Production Engineering and Management  OWL University of Applied Sciences,
  Lemgo (Germany)
- Hochschule Ostwestfalen-Lippe
date_created: 2019-01-22T14:07:32Z
date_updated: 2023-03-15T13:49:54Z
department:
- _id: DEP1306
editor:
- first_name: Franz-Josef
  full_name: Villmer, Franz-Josef
  id: '14290'
  last_name: Villmer
- first_name: Elio
  full_name: Padoano, Elio
  last_name: Padoano
issue: '1'
keyword:
- Additive  Manufacturing
- Topology optimization
- Staircase effect
- Support structures
- Stress concentration
- Lightweight construction
- Design rules
- Notch effect
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.th-owl.de/elsa/download/333/334/PEM_2016_Proceeding_2016_09_14_Inhaltsnavigation.pdf
oa: '1'
page: 39-50
place: Lemgo
publication: Production Engineering and Management Proceedings 6th International Conference
publication_identifier:
  isbn:
  - 978-3-946856-00-9
publication_status: published
status: public
title: Topology Optimization and Additive Manufacturing – A Perfect Symbiosis?
type: conference
user_id: '79260'
year: 2016
...
---
_id: '598'
abstract:
- lang: eng
  text: "The aerospace sector is characterized by long product life cycles and a need
    for lightweight design. Additive manufacturing is a technology that produces parts
    layer by layer and thus enables the manufacturing of any complex parts at nearly
    no extra costs. A topology optimization enhances the part’s\r\nperformance for
    their special purpose. The results are often complex bionic structures that cannot
    be produced with conventional manufacturing technologies. The paper analyzes how
    the high potential of this technologycan be applied to aerospace parts. A topology
    optimization will be conducted for an aircraft part explaining the crucial points
    and a life cycle analysis examines the achieved sustainable improvements for the
    aircraft’s life cycle.\r\n"
author:
- first_name: Andrea
  full_name: Huxol, Andrea
  id: '43559'
  last_name: Huxol
- first_name: Franz-Josef
  full_name: Villmer, Franz-Josef
  id: '14290'
  last_name: Villmer
citation:
  ama: 'Huxol A, Villmer F-J. Hybrid Manufacturing Machines: Combining Additive and
    Subtractive Manufacturing Technologies. In: Padoano E, Villmer F-J, Department
    of Production Engineering and Management, eds. <i>Production Engineering and Management</i>.
    Lemgo; 2015:207-218.'
  apa: 'Huxol, A., &#38; Villmer, F.-J. (2015). Hybrid Manufacturing Machines: Combining
    Additive and Subtractive Manufacturing Technologies. In E. Padoano, F.-J. Villmer,
    &#38; Department of Production Engineering and Management (Eds.), <i>Production
    Engineering and Management</i> (pp. 207–218). Lemgo.'
  bjps: '<b>Huxol A and Villmer F-J</b> (2015) Hybrid Manufacturing Machines: Combining
    Additive and Subtractive Manufacturing Technologies. In Padoano E, Villmer F-J
    and Department of Production Engineering and Management (eds), <i>Production Engineering
    and Management</i>. Lemgo, pp. 207–218.'
  chicago: 'Huxol, Andrea, and Franz-Josef Villmer. “Hybrid Manufacturing Machines:
    Combining Additive and Subtractive Manufacturing Technologies.” In <i>Production
    Engineering and Management</i>, edited by Elio Padoano, Franz-Josef Villmer, and
    Department of Production Engineering and Management, 207–18. Lemgo, 2015.'
  chicago-de: 'Huxol, Andrea und Franz-Josef Villmer. 2015. Hybrid Manufacturing Machines:
    Combining Additive and Subtractive Manufacturing Technologies. In: <i>Production
    Engineering and Management</i>, hg. von Elio Padoano, Franz-Josef Villmer, und
    Department of Production Engineering and Management, 207–218. Lemgo.'
  din1505-2-1: '<span style="font-variant:small-caps;">Huxol, Andrea</span> ; <span
    style="font-variant:small-caps;">Villmer, Franz-Josef</span>: Hybrid Manufacturing
    Machines: Combining Additive and Subtractive Manufacturing Technologies. In: <span
    style="font-variant:small-caps;">Padoano, E.</span> ; <span style="font-variant:small-caps;">Villmer,
    F.-J.</span> ; <span style="font-variant:small-caps;">Department of Production
    Engineering and Management</span> (Hrsg.): <i>Production Engineering and Management</i>.
    Lemgo, 2015, S. 207–218'
  havard: 'A. Huxol, F.-J. Villmer, Hybrid Manufacturing Machines: Combining Additive
    and Subtractive Manufacturing Technologies, in: E. Padoano, F.-J. Villmer, Department
    of Production Engineering and Management (Eds.), Production Engineering and Management,
    Lemgo, 2015: pp. 207–218.'
  ieee: 'A. Huxol and F.-J. Villmer, “Hybrid Manufacturing Machines: Combining Additive
    and Subtractive Manufacturing Technologies,” in <i>Production Engineering and
    Management</i>, Trieste, Italy, 2015, no. 1, pp. 207–218.'
  mla: 'Huxol, Andrea, and Franz-Josef Villmer. “Hybrid Manufacturing Machines: Combining
    Additive and Subtractive Manufacturing Technologies.” <i>Production Engineering
    and Management</i>, edited by Elio Padoano et al., no. 1, 2015, pp. 207–18.'
  short: 'A. Huxol, F.-J. Villmer, in: E. Padoano, F.-J. Villmer, Department of Production
    Engineering and Management (Eds.), Production Engineering and Management, Lemgo,
    2015, pp. 207–218.'
  ufg: '<b>Huxol, Andrea/Villmer, Franz-Josef (2015)</b>: Hybrid Manufacturing Machines:
    Combining Additive and Subtractive Manufacturing Technologies, in: Elio Padoano
    et. al. (Hgg.): <i>Production Engineering and Management</i>, Lemgo, S. 207–218.'
  van: 'Huxol A, Villmer F-J. Hybrid Manufacturing Machines: Combining Additive and
    Subtractive Manufacturing Technologies. In: Padoano E, Villmer F-J, Department
    of Production Engineering and Management, editors. Production Engineering and
    Management. Lemgo; 2015. p. 207–18.'
conference:
  end_date: 2015-10-02
  location: Trieste, Italy
  name: Proceedings5th International Conference
  start_date: 2015-10-01
corporate_editor:
- Department of Production Engineering and Management
- Hochschule Ostwestfalen-Lippe
date_created: 2019-02-19T07:26:35Z
date_updated: 2023-03-15T13:50:03Z
department:
- _id: DEP1306
editor:
- first_name: Elio
  full_name: Padoano, Elio
  last_name: Padoano
- first_name: Franz-Josef
  full_name: Villmer, Franz-Josef
  last_name: Villmer
issue: '1'
keyword:
- Additive manufacturing
- topology optimization
- aerospace
- life cycle costs
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://www.hs-owl.de/fileadmin/diman/Veroeffentlichungen/PEM_Tagung_zusammen2015.pdf
oa: '1'
page: 207-218
place: Lemgo
publication: Production Engineering and Management
publication_identifier:
  isbn:
  - 978-3-941645-11-0
publication_status: published
related_material:
  link:
  - relation: contains
    url: https://www.hs-owl.de/fileadmin/diman/Veroeffentlichungen/PEM_Tagung_zusammen2015.pdf
status: public
title: 'Hybrid Manufacturing Machines: Combining Additive and Subtractive Manufacturing
  Technologies'
type: conference
user_id: '45673'
year: 2015
...