Cited by 2Architecture and Computational DesignStructural Analysis and OptimizationTopology Optimization in Engineering

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Parametric Material Optimization and Structural Performance of Engineered Timber Thin-Shell Structures: Comparative Analysis of Gridshell, Segmented, and Hybrid Systems

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Abstract

In response to the growing interest in sustainable and material-efficient architectural solutions, this study focuses on innovative applications of engineered timber in lightweight structural systems. It investigates the material optimization and structural performance of engineered timber thin-shell structures through an integrated parametric design approach. The study compares three prefabricated, panelized building systems, gridshell, segmented full-plate shell, and ribbed shell, to evaluate their efficiency in terms of material intensity, stiffness, and geometric behavior. Using Rhinoceros and Grasshopper environments with Karamba3D, Kiwi3D, and Kangaroo plugins, a comprehensive parametric workflow was developed that integrates geometric modeling, structural analysis, and material evaluation. The results show that segmented ribbed shell and two segmented gridshell variants offer up to 70% reduction in material usage compared with full-plate segmented timber shells, with hybrid timber shells achieving the best balance between stiffness and mass, offering functional advantages (roofing without additional load). These findings highlight the potential of parametric and computational design methods to enhance both the environmental efficiency (LCA) and digital fabrication readiness of timber-based architecture. The study contributes to the ongoing development of computational timber architecture, emphasizing the role of design-to-fabrication strategies in sustainable construction and the digital transformation of architectural practice.

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References 62 · Cited by 2

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  1. Giannotas, 2022, Utilization of Tree-Bark in Cement Pastes, J. Build. Eng., 57, 104913, 10.1016/j.jobe.2022.104913 · DOI
  2. Ruuska, 2014, Material Efficiency of Building Construction, Buildings, 4, 266, 10.3390/buildings4030266 · DOI
  3. González-Retamal, M., Forcael, E., Saelzer-Fuica, G., and Vargas-Mosqueda, M. (2022). From Trees to Skyscrapers: Holistic Review of the Advances and Limitations of Multi-Storey Timber Buildings. Buildings, 12. · DOI
  4. Starzyk, A., Marchwiński, J., and Milošević, V. (2025). Circular Wood Construction in a Sustainable Built Environment: A Thematic Review of Gaps and Emerging Topics. Sustainability, 17. · DOI
  5. Ren, H., Bahrami, A., Cehlin, M., and Wallhagen, M. (2024). Flexural Behavior of Cross-Laminated Timber Panels with Environmentally Friendly Timber Edge Connections. Buildings, 14. · DOI
  6. Menges, A., Schwinn, T., and Krieg, O.D. (2016). Advancing Wood Architecture, Taylor & Francis. · DOI
  7. Weinand, Y. (2016). Advanced Timber Structures: Architectural Designs and Digital Dimensioning, Birkhäuser. · DOI
  8. Søndergaard, A., Amir, O., Eversmann, P., Piskorec, L., Stan, F., Gramazio, F., and Kohler, M. (2016). Topology Optimization and Robotic Fabrication of Advanced Timber Space-Frame Structures. Robotic Fabrication in Architecture, Art and Design 2016, Springer. · DOI
  9. Bertetto, 2020, Shell and Spatial Structures: Between New Developments and Historical Aspects, Curved Layer. Struct., 7, 186, 10.1515/cls-2020-0015 · DOI
  10. Bechert, 2021, Integrative Structural Design and Engineering Methods for Segmented Timber Shells—BUGA Wood Pavilion, Structures, 34, 4814, 10.1016/j.istruc.2021.10.032 · DOI
  11. Formichetti, G., Matteoni, M., and Pampanin, S. (2023, January 12–14). Development of a Holistic Parametric Framework for Multi-Performance Life-Cycle Evaluation of Post-Tensioned Timber Buildings. Proceedings of the 9th ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Athens, Greece.
  12. Trautz, M., Grizmann, D., Seiter, A., Moreno Gata, K., Pranjic, A., and Saez, D. (2023, January 20–23). Design and Natural Materials—Innovative Approaches for a Sustainable Future Architecture and Structural Engineering. Proceedings of the Creative Construction Conference, Keszthely, Hungary. · DOI
  13. Porras, E., Esenarro, D., Chang, L., Morales, W., Vargas, C., and Sucasaca, J. (2024). Toward Cost-Effective Timber Shell Structures through the Integration of Computational Design, Digital Fabrication, and Mechanical Integral ‘Half-Lap’ Joints. Buildings, 14. · DOI
  14. 2023, Novel Proposal of Bio-Based Sewing Timber Joint: Learning from Diatoms, J. Build. Mater. Sci., 5, 1, 10.30564/jbms.v5i1.5299 · DOI
  15. Victoria, L.C., Aquino, C.D., Branco, J.M., and Miguel, L.F.F. (2025). Numerical Analysis of Cross-Laminated Timber (CLT) Buildings: A Parametric Study on Steel Connectors When Subjected to Seismic Loading Under Eurocode 8 and NBR 15421. Buildings, 15. · DOI
  16. Giuriani, 2008, Wooden Roof Box Structure for the Anti-Seismic Strengthening of Historic Buildings, Int. J. Archit. Herit., 2, 226, 10.1080/15583050802063733 · DOI
  17. Sharifi, 2021, Diaphragm Shear and Diagonal Compression Testing of Cross-Laminated Timber, SN Appl. Sci., 3, 842, 10.1007/s42452-021-04826-8 · DOI
  18. Heesterman, M. (2019). The Robotic Craftsman: Robotic Fabrication for Complex Timber Connections. [Master’s Thesis, Te Herenga Waka—Victoria University of Wellington].
  19. Starzyk, A., Cortiços, N.D., Duarte, C.C., and Łacek, P. (2025). Timber Architecture for Sustainable Futures: A Critical Review of Design and Research Challenges in the Era of Environmental and Social Transition. Buildings, 15. · DOI
  20. Koda, 2025, Wood as an Architectural and Construction Material in the Circular Economy, Solid Waste and Recycling, Volume 579, 321, 10.1007/978-981-96-1945-0_29 · DOI
  21. 2022, Advances in Digital Design and Fabrication of Wooden Architecture, Archit. Artibus, 14, 37
  22. 2023, Analogue and Computational Form-Finding Techniques in Shell Structures Design, Archit. Artibus, 15, 9
  23. Juchimiuk, 2022, Energy Metamorphosis of Cities and Buildings, Archit. Artibus, 14, 55
  24. Juchimiuk, 2022, Renewable Energy Sources in Architecture of the World Expo, Archit. Artibus, 14, 75
  25. Juchimiuk, 2025, Factors and Drivers of Architectural Form Modelling in Aspect of Climate Change, Inżynieria Bezpieczeństwa Obiektów Antropog., 3, 30, 10.37105/iboa.277 · DOI
  26. Kensek, 2015, Visual Programming for Building Information Modeling: Energy and Shading Analysis Case Studies, J. Green Build., 10, 28, 10.3992/jgb.10.4.28 · DOI
  27. Silva, 2025, An Integrated Technical Process of Building Information Modeling Enabled by Visual Programming Language: An Optimized Computational Building Solution for Energy Efficiency, Sustain. Mater. Technol., 46, e01706
  28. Ghannad, 2019, Automated BIM Data Validation Integrating Open-Standard Schema with Visual Programming Language, Adv. Eng. Inform., 40, 14, 10.1016/j.aei.2019.01.006 · DOI
  29. Nawari, 2012, BIM Standardization and Wood Structures, Comput. Civ. Eng., 2012, 293, 10.1061/9780784412343.0037 · DOI
  30. Abushwereb, 2019, A Knowledge-Based Approach towards Automated Manufacturing-Centric BIM: Wood Frame Design and Modelling for Light-Frame Buildings, Modul. Offsite Constr. MOC Summit Proc., 2019, 100
  31. Lobos Calquin, D., Mata, R., Correa, C., Nuñez, E., Bustamante, G., Caicedo, N., Blanco Fernandez, D., Díaz, 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
  32. Charleson, A. (2014). Structure as Architecture: A Source Book for Architects and Structural Engineers, Routledge. · DOI
  33. Macdonald, A.J. (2018). Structure and Architecture, Routledge. · DOI
  34. 2024, The BREEAM, the LEED and the DGNB Certifications as an Aspect of Sustainable Development, Acta Sci. Pol. Archit., 23, 121
  35. Piętocha, A., Li, W., and Koda, E. (2025). The Vertical City Paradigm as Sustainable Response to Urban Densification and Energy Challenges: Case Studies from Asian Megacities. Energies, 18. · DOI
  36. Fleischmann, M., and Menges, A. (2011, January 10–12). Icd/Itke Research Pavilion: A Case Study of Multi-Disciplinary Collaborative Computational Design. Proceedings of the Computational Design Modelling: Proceedings of the Design Modelling Symposium Berlin, Berlin, Germany. · DOI
  37. Menges, A., and Knippers, J. (2020). Architecture Research Building: ICD/ITKE 2010–2020, Birkhäuser. · DOI
  38. Menges, A. (2017). Design Computation and Material Culture. Lineament: Material, Representation and the Physical Figure in Architectural Production, Routledge.
  39. Knippers, 2021, Integrative Computational Design and Construction: Rethinking Architecture Digitally, Civ. Eng. Des., 3, 123
  40. Weinand, 2009, Innovative Timber Constructions, J. Int. Assoc. Shell Spat. Struct., 50, 111
  41. Gamerro, J., Bocquet, J.-F., and Weinand, Y. (2018, January 29–31). Future Challenges and Need for Research in Timber Engineering. Proceedings of the 8th Workshop of COST Action FP1402 “Basis of Structural Timber Design-from research to standards”, Lausanne, Switzerland.
  42. Weinand, Y. (2016). Timber Fabric Structures: Innovative Wood Construction. Advancing Wood Architecture, Routledge. · DOI
  43. Willmann, 2016, Robotic Timber Construction—Expanding Additive Fabrication to New Dimensions, Autom. Constr., 61, 16, 10.1016/j.autcon.2015.09.011 · DOI
  44. Apolinarska, A.A., Knauss, M., Gramazio, F., and Kohler, M. (2016). The Sequential Roof. Advancing Wood Architecture, Routledge. · DOI
  45. Krieg, 2019, Adaptive Automation Strategies for Robotic Prefabrication of Parametrized Mass Timber Building Components, Proceedings of the International Symposium on Automation and Robotics in Construction, Volume 36, 521
  46. Apolinarska, A., Bärtschi, R., Furrer, R., Gramazio, F., and Kohler, M. (2016). Mastering the Sequential Roof. Adv. Archit. Geom., 240–259. · DOI
  47. Tamke, 2013, CITA: Working for and with Material Performance, Serbian Archit. J., 13, 202, 10.5937/SAJ1302202T · DOI
  48. Thomsen, M., Tamke, M., Ayres, P., and Nicholas, P. (2015). CITA Works, Riverside Archiectural Press.
  49. Thomsen, M.R. (2021). CITA Complex Modelling, Riverside Architectural Press.
  50. Carpo, 2016, Parametric Notations: The Birth of the Non-Standard, Archit. Des., 86, 24
  51. Fatah gen Schieck, A., and Hanna, S. (2007). Embedded, Embodied, Adaptive: Architecture and Computation, Emergent Architecture Press (UCL).
  52. Sheine, J., Fretz, M., O’Halloran, S., Gershfeld, M., and Stenson, J. (2023). Mass Timber Panelized Workforce Housing in Oregon, U.S., Institute for Health in the Built Environment, University of Oregon. · DOI
  53. Heikkinen, P., and Tidwell, P. (2017). Liina Shelter, Wood Program. The Design-Build Studio, Routledge. · DOI
  54. Heikkinen, P. (October, January 5). Wood Program 30 Years. Proceedings of the Aalto ARTS Student Show, Espoo, Finland.
  55. Pedersen, J. (2023). Parawood: Framework for on-Site Robotic Timber Fabrication. [Ph.D. Thesis, Aarhus School of Architecture].
  56. Ramage, 2024, Ephemeral Walls for Natural, Flexible Living, Proceedings of the IOP Conference Series: Earth and Environmental Science, Volume 1402, 012035
  57. Reynolds, T., Feldmann, A., Ramage, M., Chang, W.-S., Harris, R., and Dietsch, P. (2016, January 16–19). Design Parameters for Lateral Vibration of Multi-Storey Timber Buildings. Proceedings of the International Network on Timber Engineering Research Meeting 49, Graz, Austria.
  58. Robeller, 2020, Recycleshell: Wood-Only Shell Structures Made from Cross-Laminated Timber (CLT) Production Waste, J. Int. Assoc. Shell Spat. Struct., 61, 125
  59. Block, P., Knippers, J., Mitra, N.J., and Wang, W. (2015). Biomimetic Lightweight Timber Plate Shells: Computational Integration of Robotic Fabrication, Architectural Geometry and Structural Design. Advances in Architectural Geometry 2014, Springer International Publishing. · DOI
  60. Redkin, 2016, Steel and Composite Structural Shells in the Construction of High-Rise Building, MATEC Web Conf., 53, 01002, 10.1051/matecconf/20165301002 · DOI
  61. Scholzen, 2015, Thin-walled Shell Structures Made of Textile-reinforced Concrete: Part I: Structural Design and Construction, Struct. Concr., 16, 106, 10.1002/suco.201300071 · DOI
  62. Hawkins, W., Orr, J., Shepherd, P., Tim, I., and Bregulla, J. (2017, January 25–28). Thin-Shell Textile-Reinforced Concrete Floors for Sustainable Buildings. Proceedings of the IASS Annual Symposia, Hamburg, Germany.
  63. Veltkamp, M. (2007). Free Form Structural Design: Schemes, Systems & Prototypes of Structures for Irregular Shaped Buildings, IOS Press.
  64. Veltkamp, M. (October, January 28). Structural Optimization of Free Form Framed Structures in Early Stages of Design. Proceedings of the Symposium of the International Association for Shell and Spatial Structures, Valencia, Spain,. Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings.
  65. Misztal, B. (2018). Wooden Domes, Springer. · DOI
  66. Misztal, B. (2017). Gridshell, Ribbed–Shell Domes. Wooden Domes: History and Modern Times, Springer. · DOI
  67. Misztal, B. (2017). Multi-Shell Domes. Wooden Domes: History and Modern Times, Springer. · DOI
  68. Misztal, B. (2017). Ribbed Domes. Wooden Domes: History and Modern Times, Springer. · DOI
  69. Misztal, B. (2017). Selected Elements of the Dome Building History. Wooden Domes: History and Modern Times, Springer. · DOI
  70. Misztal, B. (2017). Selected Examples of Domes from Glued Laminated Timber. Wooden Domes: History and Modern Times, Springer. · DOI
  71. Misztal, 2025, On the Variability in Time of the Longitudinal Modulus of Elasticity E and the Traverse Modulus of Elasticity G and Their Impact on the Rigidity of Timber Structures, Architectus, 83, 115
  72. Misztal, B. (2017). Shell Domes. Wooden Domes: History and Modern Times, Springer. · DOI
  73. Januszkiewicz, 2017, Free-Form Wooden Architectural Envelopes in Terms of Energy Efficiency, Int. Multidiscip. Sci. GeoConf. SGEM, 17, 555
  74. Januszkiewicz, 2017, Nonlinear Shaping Architecture Designed with Using Evolutionary Structural Optimization Tools, Proceedings of the IOP Conference Series: Materials Science and Engineering, Volume 245, 082042, 10.1088/1757-899X/245/8/082042 · DOI
  75. Mouchart, M., and Orsi, R. (2016). Building a Structural Model: Parameterization and Structurality. Econometrics, 4. · DOI
  76. Tarczewski, 2013, Natural and Geometrical Prototypes of Organic Forms in Architecture, Proceedings of the IASS Annual Symposia, Volume 2013, 1
  77. Chilton, J., and Tang, G. (2016). Timber Gridshells: Architecture, Structure and Craft, Routledge. · DOI
  78. Kermani, 2015, Timber Gridshells: Numerical Simulation, Design and Construction of a Full Scale Structure, Structures, 3, 227, 10.1016/j.istruc.2015.05.002 · DOI
  79. Schling, E., Wan, Z., Wang, H., and D’Acunto, P. (2023). Asymptotic Geodesic Hybrid Timber Gridshell. Advances in Architectural Geometry 2023, De Gruyter. · DOI
  80. Green, M., and Taggart, J. (2025). Tall Wood Buildings: Design, Birkhäuser. · DOI
  81. Dickson, M., and Parker, D. (2014). Sustainable Timber Design, Routledge. · DOI
  82. Armpriest, D., and Manrique, C. (2019). Structures and Architecture Integration in a Best Use of Wood Design Competition Studio. Structures and Architecture-Bridging the Gap and Crossing Borders, CRC Press. · DOI
  83. Adelzadeh, A., Karimian, H., and Robeller, C. (2024, January 20–26). ReciproFrame Timber Gridshell: From CAM Data Interface Modeling to Operating Industrial Joinery Machine for Scaling up Reusable Timber Structures. Proceedings of the CAADRIA 2024—Accelerated Design, Singapore. · DOI
  84. Adelzadeh, A., Karimian-Aliabadi, H., Åhlund, K., and Robeller, C. (2023, January 20–22). ReciprocalShell: A Hybrid Timber System for Robotically-Fabricated Lightweight Shell Structures. Proceedings of the 41st Conference on Education and Research in Computer Aided Architectural Design in Europe, Graz, Austria. · DOI
  85. Lehmann, 2024, Multihalle Pavilion: The Renovation of an Innovative, Experimental Structure From the 1970s, Mass Timber Constr. J., 7, 1
  86. Mertens, 2020, Der Gestrandete Wal: Das Baudenkmal Multihalle, Denkmalpfl. Baden-Württ. Landesdenkmalpflege, 49, 9
  87. Dyvik, S.H., Manum, B., and Rønnquist, A. (2021). Gridshells in Recent Research—A Systematic Mapping Study. Appl. Sci., 11. · DOI
  88. Soti, 2021, Structural Performance Characterization of Mass Plywood Panels, J. Mater. Civ. Eng., 33, 04021275, 10.1061/(ASCE)MT.1943-5533.0003902 · DOI
  89. Wang, 2022, In-Plane Mechanical Properties of Birch Plywood, Constr. Build. Mater., 340, 127852, 10.1016/j.conbuildmat.2022.127852 · DOI
  90. Dasari, 2022, Computational Approach for Form-Finding Optimal Design, Archit. Struct. Constr., 2, 323, 10.1007/s44150-022-00077-2 · DOI
  91. Teschemacher, 2022, Concepts of Data Collection for the CAD-Integrated Isogeometric Analysis, Eng. Comput., 38, 5675, 10.1007/s00366-022-01732-4 · DOI
  92. Berdos, 2020, Architectural Hybrid Material Composites: Computationally Enabled Techniques to Control Form Generation, Archit. Sci. Rev., 63, 154, 10.1080/00038628.2019.1666357 · DOI
  93. Hua, 2020, Optimization and Prefabrication of Timber Voronoi Shells, Struct. Multidiscip. Optim., 61, 1897, 10.1007/s00158-019-02445-x · DOI
  94. Schling, E., Wan, Z., and D’Acunto, P. (2023, January 2–4). Design and Construction of an Asymptotic Geodesic Timber Gridshell. Proceedings of the XI Textile Composites and Inflatable Structures, Valencia, Spain. · DOI
  95. Fairclough, H.E., Bolbotowski, K., He, L., Liew, A., and Gilbert, M. (2025). Topology and Geometry Optimization of Grid-Shells under Self-Weight Loading. arXiv. · DOI
  96. Wan, 2024, Structural Behaviour of Asymptotic Geodesic Hybrid Timber Gridshells, Eng. Struct., 308, 117918, 10.1016/j.engstruct.2024.117918 · DOI
  97. Bakalarz, M.M. (2024). Mechanical Properties of Full-Scale Wooden Beams Strengthened with Carbon-Fibre-Reinforced Polymer Sheets. Materials, 17. · DOI
  98. Kuda, 2021, Modular Timber Gridshells, J. Sustain. Archit. Civ. Eng., 28, 72
  99. Starzyk, A., Rybak-Niedziółka, K., Nowysz, A., Marchwiński, J., Kozarzewska, A., Koszewska, J., Piętocha, A., Vietrova, P., Łacek, P., and Donderewicz, M. (2024). New Zero-Carbon Wooden Building Concepts: A Review of Selected Criteria. Energies, 17. · DOI
  100. 2012, Wybór Materiałów Budowlanych w Kontekście Efektywności Energetycznej i Wpływu Środowiskowego, Bud. Inżynieria Sr., 3, 39
  101. Starzyk, 2024, Environmental and Architectural Aspects of Wooden Construction: A Comparative Analysis of Selected Issues of Single-Family Housing in Poland and Portugal, Acta Sci. Pol. Archit., 23, 304

Metadata

Authors
Golański, M., Juchimiuk, J., Ogrodnik, P., Szulej, J., & Starzyk, A.
Affiliations
  • Warsaw University of Life Sciences (PL)
  • Lublin University of Technology (PL)
Corresponding author
Ogrodnik, Paweł
Venue
Materials
Publisher
MDPI AG
Published
2026-01-15
Volume
19
Issue
2
Pages
341
ISSN
1996-1944 (ISSN-L)
OpenAlex
W7124257463
Cited by
2
References
62
Citations by year
2026: 2
FWCI
26.24
Type
journal article
Language
en
Open access
Locations
  • Materials (publishedVersion, cc-by)
  • PubMed (publishedVersion)
  • PubMed Central (publishedVersion, cc-by)
Topics
  • Physical Sciences › Engineering › Architecture › Architecture and Computational Design
  • Physical Sciences › Engineering › Civil and Structural Engineering › Structural Analysis and Optimization
  • Physical Sciences › Engineering › Civil and Structural Engineering › Topology Optimization in Engineering
Keywords
engineered wood products, thin shells, gridshells, ribbed shells, hybrid timber structures, material optimization, material intensity, stiffness-to-weight ratio, parametric design, digital fabrication, lightweight structures, life cycle assessment

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