{"language":[{"iso":"eng"}],"intvolume":"        65","date_updated":"2025-04-16T06:02:51Z","doi":"10.1007/s00158-022-03252-7","place":"Berlin","article_number":"160","title":"Geometric dimensionality control of structural components in topology optimization","publication_status":"published","department":[{"_id":"DEP3020"}],"publication":"Structural and Multidisciplinary Optimization","external_id":{"isi":["WOS:000796069200001"]},"type":"scientific_journal_article","issue":"5","user_id":"83781","year":"2022","_id":"12801","publication_identifier":{"eissn":["1615-147X"],"issn":["1615-1488"]},"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."}],"author":[{"last_name":"Gerzen","full_name":"Gerzen, Nikolai","id":"76704","first_name":"Nikolai"},{"full_name":"Mertins, Thorsten","last_name":"Mertins","first_name":"Thorsten"},{"last_name":"Pedersen","full_name":"Pedersen, Claus B. W.","first_name":"Claus B. W."}],"citation":{"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>.","van":"Gerzen N, Mertins T, Pedersen CBW. Geometric dimensionality control of structural components in topology optimization. Structural and Multidisciplinary Optimization. 2022;65(5).","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.","short":"N. Gerzen, T. Mertins, C.B.W. Pedersen, Structural and Multidisciplinary Optimization 65 (2022).","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>.","havard":"N. Gerzen, T. Mertins, C.B.W. Pedersen, Geometric dimensionality control of structural components in topology optimization, Structural and Multidisciplinary Optimization. 65 (2022).","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>, .","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>.","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>","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"},"keyword":["Manufacturing constraints","Topology optimization","Geometric constraints","Gradient based structural optimization","Lattice designing","Additive manufacturing"],"status":"public","publisher":"Springer Science and Business Media LLC","date_created":"2025-04-16T05:58:58Z","volume":65}