Preview

Building and Reconstruction

Advanced search

Grid and Reticulated Shell Structures in the 21st Century

https://doi.org/10.33979/2073-7416-2025-118-2-14-32

Abstract

Structurally organized space is the base for creation of structural design. In a paper, classification of structural erections on geometrical systems, lying in their base, and on purpose of grid shell systems. The history of the appearance of structural erections, the beginning of which was put by the erection of the Eiffel tower in Paris in 1889, is described briefly. Maybe it was earlier, when manufacturing of rolled products began in industrial scale in 1867. It is shown on concrete examples that net shell structures are used at the last years more often than reinforces concrete thin-walled shells. Special attention is given to grid, net, and net-and grid shell structures that were erected at the last 25 years. It is shown that at this time, grid and net shell structures were erected almost in all country except for single regions of the World. Brief information is presented on stress analysis of grid and net shell structures, their geometry, and materials. Now, intensive research of these structures in different directions are carried out. The main directions of research are directed at more accurate definition to the methods of strength analysis, to formation of optimal meshes, and to discovery of grid materials and covering materials.

About the Author

S. N. Krivoshapko
«The Peoples' Friendship University of Russia»
Russian Federation


References

1. Sysoyeva Ye.V. Nauchnyye podkhody k raschetu i proyektirovaniyu bolsheproletnykh konstruktsiy [Scientific approaches to the calculation and design of long-span structures]. Vestnik MGSU. 2017. Vol. 12. No. 2 (101). Pp. 131–141. DOI: 10.2222/1997-0935.2017.2.131-141. (rus).

2. Grinko Ye.A. Tipy prostranstvennykh krivolineynykh struktur i obolochek stroitelnogo naznacheniya [Types of spatial curvilinear structures and shells for construction purposes]. Regionalnaya arkhitektura i stroitelstvo. 2024. No. 4. Pp. 128–141. DOI: 10.54734/20722958_2024_4_128. (rus).

3. Krivoshapko S.N., Christian A. Bock Hyeng, Mamieva I.A. Chronology of erection of the earliest reinforced concrete shells. International Journal of Research and Reviews in Applied Sciences. 2014. Vol. 18. Iss. 2. Pp. 95–108. ISSN: 2076-734X.

4. Krivoshapko S.N. Sterzhnevyye, setchatye struktury i tselnometallicheskiye obolochki zdaniy vtoroy poloviny XX veka – nachala XXI veka [Rod, grid structures, and all-metal shells of buildings from the second half of the 20th to the early 21st century].Arkhitektura i stroitelstvo Rossii. 2014. No. 12 (204). Pp. 10–17. ISSN: 0235-7259. (rus).

5. Bondarenko I.A. Ob umestnosti i umerennosti arkhitekturnykh novatsiy [On the appropriateness and moderation of architectural innovations]. Academia. Arkhitektura i stroitelstvo. 2020. No. 1. Pp. 13–18. (rus).

6. Yermolenko Ye.V. Formy i postroeniya v arkhitekture sovetskogo avangarda i ikh interpretatsiya v sovremennoy zarubezhnoy praktike [Forms and constructions in Soviet avant-garde architecture and their interpretation in modern foreign practice]. Academia. Arkhitektura i stroitelstvo. 2020. No. 1. Pp. 39–48. DOI: 10.22337/2077-9038-2020-1-39-48. (rus).

7. Krivoshapko S.N. Vidy avariy i razrusheniy prostranstvennykh struktur i obolochek [Types of accidents and failures of spatial structures and shells]. Stroitelstvo i rekonstruktsiya. 2015. No. 1(57). Pp. 22–32. ISSN: 2073-7416. (rus).

8. Avanii zdaniy i sooruzheniy na territorii Rossiyskoy Federatsii v 2003 godu Accidents of buildings and structures in the Russian Federation in 2003]. Obshcherossiyskiy fond «Tsentr kachestva stroitelstva». Moscow, 2004. URL: stroyinf.ru. (rus).

9. Korotich A.V. Innovatsionnyye resheniya arkhitekturnykh obolochek: alternativa traditsionnomu stroitelstvu [Innovative solutions for architectural shells: an alternative to traditional construction]. Akademicheskiy Vestnik UralNIIproekt RAASN. 2015. No. 4. Pp. 70–75. eLIBRARY ID: 25105252. (rus).

10. Rodzyah Mohd Yunus. The influence of curvilinear architectural forms on environment behaviour. Procedia - Social and Behavioral Sciences. 2012. Vol. 49. Pp. 341–349. DOI: 10.1016/j.sbspro.2012.07.032.

11. Dushkevich K.N. Rol bolsheproletnykh obolochek v formoobrazovanii obshchestvennykh zdaniy [The role of long-span shells in the shaping of public buildings]. Architecture and Modern Information Technologies. 2017. No. 4(41). Pp. 163–178. (rus).

12. Krivoshapko S.N., Mamieva I.A. Sterzhnevyye sistemy v forme odnopolostnogo giperboloida vrashcheniya [Rod systems in the form of a single-sheet hyperboloid of revolution]. Montazhnyye i spetsialnyye raboty v stroitelstve. 2011. No. 11. Pp. 19–23. (rus).

13. Krivoshapko S.N., Galishnikova V.V. Arkhitekturno-stroitelnyye konstruktsii: uchebnik dlya vuzov [Architectural and construction structures: textbook for universities]. 2nd ed. Moscow: Yurait, 2024. 558 p. ISBN: 978-5-534-18958-2. (rus).

14. Ledenev V.V., Khudyakov A.V. Obolochechnyye konstruktsii v stroitelstve. Teoriya, proyektirovaniye, konstruktsii, primery rascheta [Shell structures in construction: theory, design, examples of calculation]. Tambov: TGTU, 2016. 272 p. ISBN: 978-5-8265-1647-8. (rus).

15. Lebed Ye.V. Kompyuternoye issledovaniye raboty karkasov bolsheproletnykh metallicheskikh kupolov pri razlichnykh sposobakh montazha [Computer study of the behavior of long-span metal dome frames under different installation methods]. Stroitelnaya mekhanika inzhenernykh konstruktsiy i sooruzheniy. 2018. Vol. 14. No. 4. Pp. 261–272. DOI: 10.22363/1815-5235-2018-14-4-261-272. (rus).

16. Semashkina D.O., Nazmeeva T.V. Diagonalno-setchatye obolochki v kachestve nesushchikh sistem zdaniy [Diagonal grid shells as load-bearing systems for buildings]. Alfabuild. 2019. No. 2(9). Pp. 40–61. EDN: FBZHTE. (rus).

17. SP 494.13258000.2020 «Konstruktsii pokrytiy prostranstvennykh metallicheskikh. Pravila proyektirovaniya» [Design rules for spatial metal roof structures]. Moscow: Minstroy Rossii, 2020. 115 p. (rus).

18. Aleksandrov S.Ye. Problemy proyektirovaniya zdaniy i sooruzheniy s primeneniyem setchatykh obolochek [Design challenges for buildings and structures using grid shells]. Sovremennyye nauchnyye issledovaniya i innovatsii. 2018. No. 12.. (rus).

19. Schober Hans, Justiz Stefan, Tamai Hiroki. Speed and grace. Civil Engineering. 2011. February. Pp. 54–59. DOI: 10.1061/ciegag.0000339.

20. Lo Yan. K istorii sozdaniya natsionalnogo tsentra ispolnitelskikh iskusstv [On the history of the creation of the National Center for Performing Arts]. Vestnik muzykalnoy nauki. 2024. Vol. 12. No. 3. Pp. 207–215. DOI: 10.24412/2308-1031-2024-3-207-215. (rus).

21. Ryabkova M.P., Genrikh R.A. Sovershenstvovaniye raboty kupolnykh konstruktsiy v usloviyakh Tsentralnogo Kazakhstana: monografiya [Improvement of dome structures in the conditions of Central Kazakhstan: monograph]. Karaganda: Sanat, 2020. 90 p. ISBN: 978-9965-38-454-7. (rus).

22. Helbig Thorsten, Kamp Florian, Schieber Roman, Oppe Matthias, Torsing Rob, Kieft Ralph. Double- layer curved steel-structure with bent glazing. New Departure Station Erasmusline, The Hague (NL). Challenging Glass. Conference on Architectural and Structural Applications of Glass. Ghent University, June 2016. 14 p.

23. Giuroiu Anton. Geodesic Dome: Architecture, history, sustainability, materials, and typical prices. Architecture lab Magazine. 07.06.2024.

24. Takva Çağatay, Takva Yenal. Tessellation configurations transforming from art to structural design of gridshell structures. Research & Reviews in Architecture, Planning and Design. December 2022. Pp. 1–18. ISBN: 978- 625-430-561-0.

25. Tang Gabriel, Chilton John, Beccarelli Paolo. Progressive development of timber gridshell design, analysis and construction. Proceedings of International Association for Shell and Spatial Structures (IASS) Symposium 2013. 23–27.09.2013, Wroclaw, Poland. Pp. 1–6.

26. Dianova-Klokova I.V., Metaniev D.A., Khrustalev A.A. Latinskaya Amerika XXI veka. Innovatsionnoye razvitiye i arkhitektura [Latin America of the XXI century. Innovative development and architecture]. Academia. Arkhitektura i stroitelstvo. 2017. No. 1. Pp. 47–59. ISSN: 2077-9038. (rus).

27. Dzwierzynska J., Labuda I. Modeling of curvilinear steel rod structures based on minimal surfaces. Materials. 2021. Vol. 14. Iss. 22. 17 p. DOI: 10.3390/ma14226826.

28. Engel Heino. Tpagsysteme. Stuttgart: Verlag Gerd Hatje, 1997. 344 p. ISBN: 3-7757-0706-9.

29. Petrenko F.I. Raschet setchatykh obolochek otritsatelnoy gaussovoy krivizny s uchetom geometricheskoy i fizicheskoy nelineynosti [Calculation of grid shells with negative Gaussian curvature considering geometric and physical nonlinearity]. Diss. kand. tekhn. nauk. Moscow: MGSU, 2017. (rus).

30. Kazakova I.S. Prostranstvennyye metallicheskiye konstruktsii pokrytiy zdaniy: uchebnoye posobiye [Spatial metal roof structures of buildings: textbook]. Vologda: VoGU, 2017. 127 p. ISBN: 978-5-87851-763- 8. (rus).

31. Loza L.V. Raschet setchatykh i podkreplennykh obolochek vrashcheniya s uchetom poperechnogo sdviga [Calculation of grid and reinforced shells of revolution considering transverse shear]. Diss. kand. tekhn. nauk. Volgograd: VGASA, 2000. 210 p. (rus).

32. Naboni Roberto. Form-finding to fabrication of super-thin anisotropic gridshell. SIGraDi 2016. XX Congress of the Iberoamerican Society of Digital Graphics. 09–11.11.2016, Buenos Aires, Argentina. Pp. 418–425. DOI: 10.5151/despro-sigradi2016-807.

33. Avelino Ricardo M., Baverel Olivier. Structural analysis of gridshells designed from singularities. Proceedings of the IASS Annual Symposium 2017. 25–28.09.2017, Hamburg, Germany. Pp. 1–10.

34. Shen Yuhang, Lin Li, Tang Pengxiao, Xu Tianli. Impact dynamic response of spherical net shells: finite element-based computational analysis investigating the influence of dynamic constitutive models. Buildings. 2023. Vol. 13. Iss. 7. 28 p. DOI: 10.3390/buildings13071849.

35. Lebed Ye.V. Vliyaniye uzlovykh sopryazheniy na usiliya v elementakh metallicheskogo karkasa rebristo-koltsevogo kupola s uchetom umensheniya kolichestva podderzhivayushchikh yego kolonn [The influence of nodal joints on stresses in elements of a ribbed-ring dome metal frame with a reduced number of supporting columns]. Stroitelnaya mekhanika inzhenernykh konstruktsiy i sooruzheniy. 2025. No. 2. (rus).

36. Pathade Sanket G., Nikhar Milind R., Kalmegh Vaibhav A. A review paper on behavior of gridshell structure. International Research Journal of Engineering and Technology (IRJET). 2022. Vol. 09. Iss. 04. Pp. 1042–1044. ISSN: 2395-0072.

37. Tang Gabriel, Chilton John, Beccarelli Paolo. Progressive Development of Timber Gridshell Design, Analysis and Construction. Proceedings of International Association for Shell and Spatial Structures (IASS) Symposium 2013. 23–27.09.2013, Wroclaw, Poland. 6 p. URL: https://shura.shu.ac.uk/23434/.

38. Zefirova A.D., Khabidullauuly Erkezhan, Bystrova D.V., Mironova E.A. Praktika primeneniya setchatykh obolochek v arkhitekture [Practice of grid shells application in architecture]. Nauchnyy zhurnal. 2019. No.5 (39). URL: https://cyberleninka.ru/article/n/praktika-primeneniya-setchatyh-obolochek-v-arhitekture. (rus).

39. Parfenov Egor, Konovalov Evgeny. Setchatye obolochki – konstruktsii XXI veka [Grid shells – structures of the XXI century]. Inzhenernaya zashchita. 2015. No. 4(9). Pp. 98–105. EDN: UIPQRN. (rus).

40. Knippers Jan, Helbig Thorsten. Recent developments in the design of glazed grid shells. International Journal of Space Structures. 2009. Vol. 24. No. 2. Pp. 111–126. DOI: 10.1260/026635109789043205.

41. Halbfas Ansgar, vom Hagen Yolanda, Siefke Jan. The German Pavilion. Planning, Construction, Usage and Recycling – Germany at the World Exposition 2010 in Shanghai, China. Liaoning: LST Publishing House, 2010. 192 p.


Review

For citations:


Krivoshapko S.N. Grid and Reticulated Shell Structures in the 21st Century. Building and Reconstruction. 2025;(2):14-32. (In Russ.) https://doi.org/10.33979/2073-7416-2025-118-2-14-32

Views: 96


Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.


ISSN 2073-7416 (Print)