{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T15:54:08Z","timestamp":1781798048464,"version":"3.54.5"},"reference-count":36,"publisher":"MDPI AG","issue":"11","license":[{"start":{"date-parts":[[2024,11,18]],"date-time":"2024-11-18T00:00:00Z","timestamp":1731888000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Technical University of Civil Engineering Bucharest","award":["G\n                      n\n                      a\n                      \n                        C\n                        \n                          2023\n                        \n                        \n                          A\n                          R\n                          U\n                          T\n                        \n                      \n                      \n                        -\n                        UTCB\n                        -\n                      \n                      28"],"award-info":[{"award-number":["G\n                      n\n                      a\n                      \n                        C\n                        \n                          2023\n                        \n                        \n                          A\n                          R\n                          U\n                          T\n                        \n                      \n                      \n                        -\n                        UTCB\n                        -\n                      \n                      28"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Buildings"],"abstract":"<jats:p>Timber represents a building material that aligns with the environmental demands on the impact of the construction sector on climate change. The most common engineering solution for modern timber buildings with large spans is glued laminate timber (glulam). This project proposes a tool for a topological optimized geometry generator of structural elements made of glulam that can be used for building a database of topologically optimized glulam beams. In turn, this can be further used to train machine learning models that can embed the topologically optimized geometry and structural behavior information. Topological optimization tasks usually require a large number of iterations in order to reach the design goals. Therefore, embedding this information into machine learning models for structural elements belonging to the same topological groups will result in a faster design process since certain aspects regarding structural behavior such as strength and stiffness can be quickly estimated using Artificial Intelligence techniques. Topologically optimized geometry propositions could be obtained by employing generative machine learning model techniques which can propose geometries that are closer to the topologically optimized results using FEM and as such present a starting point for the design analysis in a reduced amount of time.<\/jats:p>","DOI":"10.3390\/buildings14113672","type":"journal-article","created":{"date-parts":[[2024,11,19]],"date-time":"2024-11-19T04:53:05Z","timestamp":1731991985000},"page":"3672","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Numerical Methods for Topological Optimization of Wooden Structural Elements"],"prefix":"10.3390","volume":"14","author":[{"given":"Daniela","family":"\u021a\u0103pu\u0219i","sequence":"first","affiliation":[{"name":"Department of Civil, Urban and Technological Engineering, Faculty of Civil, Industrial and Agricultural Buildings, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8981-6270","authenticated-orcid":false,"given":"Andrei-Dan","family":"Sab\u0103u","sequence":"additional","affiliation":[{"name":"Department of Civil, Urban and Technological Engineering, Faculty of Civil, Industrial and Agricultural Buildings, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2303-2550","authenticated-orcid":false,"given":"Adrian-Alexandru","family":"Savu","sequence":"additional","affiliation":[{"name":"Department of Structural Mechanics, Faculty of Civil, Industrial and Agricultural Buildings, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ruxandra-Irina","family":"Erba\u0219u","sequence":"additional","affiliation":[{"name":"Department of Civil, Urban and Technological Engineering, Faculty of Civil, Industrial and Agricultural Buildings, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-0212-232X","authenticated-orcid":false,"given":"Ioana","family":"Teodorescu","sequence":"additional","affiliation":[{"name":"Department of Civil, Urban and Technological Engineering, Faculty of Civil, Industrial and Agricultural Buildings, Technical University of Civil Engineering Bucharest, 020396 Bucharest, Romania"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2024,11,18]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.istruc.2018.12.009","article-title":"Structural Optimization of Cross-laminated Timber Panels in One-way Bending","volume":"18","author":"Mayencourt","year":"2019","journal-title":"Structures"},{"key":"ref_2","first-page":"153","article-title":"Structural Optimization and Digital Fabrication of Timber Beams","volume":"108","author":"Mayencourt","year":"2017","journal-title":"IABSE Symp. Rep."},{"key":"ref_3","first-page":"416","article-title":"Innovating Civil Engineering: Strategies for Fostering Stakeholder Engagement in the Circular Economy","volume":"19","author":"Kovaite","year":"2024","journal-title":"Eur. Conf. Innov. Entrep."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Lobos Calquin, D., Mata, R., Correa, C., Nu\u00f1ez, E., Bustamante, G., Caicedo, N., Blanco Fernandez, D., D\u00edaz, M., Pulgar-Rubilar, P., and Roa, L. (2024). Implementation of Building Information Modeling Technologies in Wood Construction: A Review of the State of the Art from a Multidisciplinary Approach. Buildings, 14.","DOI":"10.20944\/preprints202401.1670.v1"},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1016\/j.istruc.2023.01.036","article-title":"Topology optimization applied to the core of structural engineered wood product","volume":"48","author":"Vicente","year":"2023","journal-title":"Structures"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"109579","DOI":"10.1016\/j.jobe.2024.109579","article-title":"Experimental and theoretical evaluation of inclined screws in glued laminated bamboo and timber-concrete composite beams","volume":"91","author":"Du","year":"2024","journal-title":"J. Build. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"117679","DOI":"10.1016\/j.engstruct.2024.117679","article-title":"A finite element simulation approach for glued-laminated timber beams using continuum-damage model and sequentially linear analysis","volume":"304","author":"Jaaranen","year":"2024","journal-title":"Eng. Struct."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/j.engappai.2018.12.010","article-title":"Metamodel assisted optimization of glued laminated timber beams by using metaheuristic algorithms","volume":"79","author":"Pech","year":"2019","journal-title":"Eng. Appl. Artif. Intell."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"e20210123","DOI":"10.1590\/1809-4430-eng.agric.v42nepe20210123\/2022","article-title":"Computational Intelligence Applied in Optimal Design of Wooden Plane Trusses","volume":"42","author":"Christoforo","year":"2022","journal-title":"Eng. Agr\u00edc."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Vicente, W., Picelli, R., Pavanello, R., and Xie, Y. (2016, January 5\u201310). Topology Optimization of Periodic Structures for Coupled Acoustic-Structure Systems. Proceedings of the VII European Congress on Computational Methods in Applied Sciences and Engineering, Crete, Greece.","DOI":"10.7712\/100016.2056.8087"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Boado Cuartero, B., P\u00e9rez-\u00c1lvarez, J., and Roibas, E. (2024). Material Characterization of High-Performance Polymers for Additive Manufacturing (AM) in Aerospace Mechanical Design. Aerospace, 11.","DOI":"10.3390\/aerospace11090748"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Zheng, H. (2021). A review on the topology optimization of the fiber-reinforced composite structures. Aerosp. Technic Technol., 54\u201372.","DOI":"10.32620\/aktt.2021.3.07"},{"key":"ref_13","first-page":"93","article-title":"Topological optimization of design elements of a robotic cell","volume":"8","author":"Anciferov","year":"2023","journal-title":"Bull. Belgorod State Technol. Univ. Named After V. G. Shukhov"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"034031","DOI":"10.1103\/PhysRevApplied.22.034031","article-title":"Exploring the topological sector optimization on quantum computers","volume":"22","author":"Ding","year":"2024","journal-title":"Phys. Rev. Appl."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"M\u00e9ndez, D., Garcia Cena, C., Bedolla-Martinez, D., and Gonz\u00e1lez, A. (2024). Innovative Metaheuristic Optimization Approach with a Bi-Triad for Rehabilitation Exoskeletons. Sensors, 24.","DOI":"10.3390\/s24072231"},{"key":"ref_16","unstructured":"Osakpolor, O., Jimu, H., and Odion, D. (2024). Optimization Techniques for Maximizing Energy Harvested in Solar-Powered Wearable Medical Devices. Int. J. Wearable Device, 171."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Peto, M., Garc\u00eda-\u00c1vila, J., Rodriguez, C., Siller, H., Silva, J., and Ramirez-Cedillo, E. (2024). Review on structural optimization techniques for additively manufactured implantable medical devices. Front. Mech. Eng.","DOI":"10.3389\/fmech.2024.1353108"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1155\/2021\/6839627","article-title":"From Topology Optimization to Complex Digital Architecture: A New Methodology for Architectural Morphology Generation","volume":"2021","author":"Lin","year":"2021","journal-title":"Adv. Civil Eng."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"112465","DOI":"10.1016\/j.engstruct.2021.112465","article-title":"Optimization of geometric parameters of arch bridges using visual programming FEM components and genetic algorithm","volume":"241","author":"Korus","year":"2021","journal-title":"Eng. Struct."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"256","DOI":"10.1080\/13287982.2018.1509765","article-title":"A study of the strength of glued laminated timber","volume":"16","author":"Milner","year":"2018","journal-title":"Aust. J. Struct. Eng."},{"key":"ref_21","first-page":"126","article-title":"Optimization of a single-storey timber building structure","volume":"9","author":"Kravanja","year":"2021","journal-title":"Int. J. Comput. Methods Exp. Meas."},{"key":"ref_22","doi-asserted-by":"crossref","unstructured":"Sim\u00f3n-Portela, M., Villar-Garc\u00eda, J.R., Vidal-L\u00f3pez, P., and Rodr\u00edguez-Robles, D. (2024). Enhancing Sustainable Construction: Optimization Tool for Glulam Roof Structures According to Eurocode 5. Sustainability, 16.","DOI":"10.20944\/preprints202404.0077.v1"},{"key":"ref_23","first-page":"9","article-title":"Kiu Publication Extension. Introduction to Lightweight Structures: A Review and Analysis of Topological Optimization Methods and Applications","volume":"3","author":"Ochieng","year":"2024","journal-title":"Res. Invent. J. Eng. Phys. Sci."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"02023","DOI":"10.1051\/e3sconf\/202453302023","article-title":"Topological optimization methods in the design of metal structures of buildings","volume":"533","author":"Fedchikov","year":"2024","journal-title":"E3S Web Conf."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"113668","DOI":"10.1016\/j.cma.2021.113668","article-title":"Full-scale topology optimization for fiber-reinforced structures with continuous fiber paths","volume":"377","author":"Li","year":"2021","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"ref_26","unstructured":"Wellershoff, F., Baudisch, R., and Posavec, M. (2017, January 25\u201328). Design optimization of glued-laminated timber freeform strcutrues with multi-objective constraints. Proceedings of the IASS Annual Symposium 2017 Interfaces: Architecture, Engineering, Science, Hamburg, Germany."},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Sim\u00f3n-Portela, M., Villar-Garc\u00eda, J.R., Rodr\u00edguez-Robles, D., and Vidal-L\u00f3pez, P. (2023). Optimization of Glulam Regular Double-Tapered Beams for Agroforestry Constructions. Appl. Sci., 13.","DOI":"10.3390\/app13095731"},{"key":"ref_28","doi-asserted-by":"crossref","first-page":"527","DOI":"10.1016\/j.compstruct.2016.07.072","article-title":"Economic-design optimization of cross laminated timber plates with ribs","volume":"154","author":"Hudobivnik","year":"2016","journal-title":"Compos. Struct."},{"key":"ref_29","doi-asserted-by":"crossref","first-page":"298","DOI":"10.54254\/2755-2721\/51\/20241616","article-title":"Prediction and optimization of civil engineering material properties based on artificial intelligence","volume":"51","author":"Wenhao","year":"2024","journal-title":"Appl. Comput. Eng."},{"key":"ref_30","doi-asserted-by":"crossref","unstructured":"Taye, M.M. (2023). Understanding of Machine Learning with Deep Learning: Architectures, Workflow, Applications and Future Directions. Computers, 12.","DOI":"10.3390\/computers12050091"},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"324","DOI":"10.1080\/1064119X.2010.514232","article-title":"Neural Network Model for Predicting the Resistance of Driven Piles","volume":"28","author":"Park","year":"2010","journal-title":"Mar. Georesour. Geotechnol."},{"key":"ref_32","doi-asserted-by":"crossref","unstructured":"Nauata, N., Hosseini, S., Chang, K.-H., Chu, H., Cheng, C.-Y., and Furukawa, Y. (2021, January 20\u201325). House-GAN++: Generative Adversarial Layout Refinement Network towards Intelligent Computational Agent for Professional Architect. Proceedings of the IEEE\/CVF Conference on Computer Vision and Pattern Recognition, Nashville, TN, USA.","DOI":"10.1109\/CVPR46437.2021.01342"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1080\/17480272.2020.1869998","article-title":"Experimental analysis of passively and actively reinforced glued-laminated timber with focus on ductility","volume":"17","author":"Livas","year":"2020","journal-title":"Wood Mater. Sci. Eng."},{"key":"ref_34","unstructured":"(2013). Timber Structures\u2014Glued Laminated Timber and Glued Solid Timber\u2014Requirements (Standard No. EN 14080:2013)."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"107149","DOI":"10.1016\/j.istruc.2024.107149","article-title":"Theoretical and experimental studies on the bending properties of glued laminated timber manufactured with Chinese fir","volume":"68","author":"Gong","year":"2024","journal-title":"Structures"},{"key":"ref_36","unstructured":"Tapusi, D., Andronic, A., Tufan, N., Teodorescu, I., and Erbasu, R. (July, January 29). Development of a generator of glued laminated timber elements sections using artificial intelligence. Proceedings of the XXIVth International Multidisciplinary Scientific GeoConference Surveying, Geology and Mining, Ecology and Management, SGEM 2024, Albena, Bulgaria."}],"container-title":["Buildings"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2075-5309\/14\/11\/3672\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T16:34:44Z","timestamp":1760114084000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2075-5309\/14\/11\/3672"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,11,18]]},"references-count":36,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2024,11]]}},"alternative-id":["buildings14113672"],"URL":"https:\/\/doi.org\/10.3390\/buildings14113672","relation":{},"ISSN":["2075-5309"],"issn-type":[{"value":"2075-5309","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,11,18]]}}}