Shells in the form of algebraic ruled surfaces on a rhombic base
- Authors: Tupikova E.M.1
-
Affiliations:
- RUDN University
- Issue: Vol 19, No 5 (2023)
- Pages: 510-519
- Section: Analysis of thin elastic shells
- URL: https://journals.rudn.ru/structural-mechanics/article/view/37223
- DOI: https://doi.org/10.22363/1815-5235-2023-19-5-510-519
- EDN: https://elibrary.ru/INGGHL
Cite item
Full Text
Abstract
One of the promising objects for application in architectural and construction practice are analytically determined structural shapes in the form of thin elastic shells with a median surface in the form of algebraic ruled surfaces on a rhombic plan on the basis of various curves. In particular, this study considers three surfaces with identical framework forming lines of superellipses using framework curves that have the appearance of waterline, midships section, and main buttock lines - lines that have been initially generated and used in shipbuilding. The shapes of structures on a rhombic base were considered. The study contains geometric modeling of such structures, creation of finite element models and their computation. A comparison of the values characterizing the stress-strain state for three different shapes with the same span and lifting arm (variant designing with optimized choice) has been carried out. From the theoretical point of view, the possibility of generating three different surfaces on the same frame seems to be an interesting result. From the viewpoint of strength analysis, one of the three obtained shells was chosen as it has the most uniform stress distribution, which is the most economical in terms of material cost.
About the authors
Evgenia M. Tupikova
RUDN University
Author for correspondence.
Email: emelian-off@yandex.ru
ORCID iD: 0000-0001-8742-3521
PhD, Associate Professor of the Department of Civil Engineering, Academy of Engineering
Moscow, Russian FederationReferences
- Mamieva I.А. Ruled algebraic surfaces with main frame from three superellipses. Structural Mechanics of Engineering Constructions and Buildings. 2022;18(4):387–395. (In Russ.) https://doi.org/10.22363/1815-5235-2022-18-4387-395
- Weisstein E.W. Superellipse. From MathWorld. A Wolfram Web Resource. Available from: https://mathworld. wolfram.com/Superellipse.html (accessed: 22.01.2023)
- Krivoshapko S.N. Tent Architecture. Building and reconstruction. 2015;3(59):100–109. EDN: TQTUPZ
- Karnevich V.V. Generating hydrodynamic surfaces by families of Lame curves for modelling submarine hulls. RUDN Journal of Engineering Research. 2022;23(1):30–37. https://doi.org/10.22363/2312-8143-2022-23-1-30-37
- Krivoshapko S.N. Tangential developable and hydrodynamic surfaces for early stage of ship shape design. Ships and Offshore Structures. 2022:18(5):660–668 https://doi.org/10.1080/17445302.2022.2062165
- Mamieva I.А., Gbaguidi-Aisse G.L. Influence of the geometrical researches of rare type surfaces on design of new and unique structures. Building and Reconstruction. 2019;5(85):23–34. https://doi.org/10.33979/2073-7416-2019-85-5 23-34
- Korotich A.V. New architectural forms of ruled quasipolyhedrons. Architecton: Proceedings of higher education. June 2015;50:31–46. (In Russ.) EDN: TZXCOB
- Mamieva I.A. Analytical surfaces for parametric architecture in contemporary buildings and structures. Academia. Archiecture and Construction. 2020;1:150–165. (In Russ.) EDN: KNYKTY
- Shelden D.R. Digital surface representation and the constructability of Gehry’s architecture. Thesis (PhD). Massachusetts Institute of Technology, Dept. of Architecture, 2002. Available from: http://hdl.handle.net/1721.1/16899 (accessed: 22.01.2023)
- Volichenko O.V. Conceptions of nob-linear architecture. Architecton: Proceedings of higher education. 2013; 44:21–39 (In Russ.) EDN: RRZMFX
- Hecker Z. The cube and the dodecahedron in my polyhedric architecture. Leonardo. 1980;13:272–275. Available from: https://muse.jhu.edu/article/599543/pdf (accessed: 22.01.2023)
- Bondarenko I.A. On the appropriateness and moderation of architectural innovation. Academia. Architecture and construction. 2020;1:13–18. (In Russ.) EDN: PCRPPG
- Krivoshapko S.N. Hydrodynamic surfaces. Sudostroeniye. 2021;(3):64–67. (In Russ.) http://doi.org/10.54068/00394580_2021_3_64
- Krivoshapko S.N. Classification of ruled surfaces. Structural Mechanics of Engineering Constructions and Buildings. 2006;1:10–20.
- Krivoshapko S.N. The application of conoid and cylindroid in forming of buildings and structures of shell type. Building and Reconstruction. 2017;5(73):34–44. EDN: ZUCUTX
- Tupikova E.M., Ershov M.E. Trial design of umbrella type shell. Structural Mechanics of Engineering Constructions and Buildings. 2021;17(4):414–424. http://doi.org/10.22363/1815-5235-2021-17-4-414-424
- Tupikova E.M. Optimization study of shape of translational shell of square plan. Structural Mechanics of Engineering Constructions and Buildings. 2019;15(5):367–373. (In Russ.) http://doi.org/10.22363/1815-5235-2019-15-5-367-373
- Aleshina O.O., Ivanov V.N., Cajamarca-Zuniga D. Stress state analysis of an equal slope shell under uniformly distributed tangential load by different methods. Structural Mechanics of Engineering Constructions and Buildings. 2021;17(1):51–62. (In Russ.) http://doi.org/10.22363/1815-5235-2021-17-1-51-62
- Krivoshapko S.N., Mamieva I.A. The outstanding spatial erections of the last 20 years. Montazhnye i Spetsial’nye Raboty v Stroitel’stve [Installation and special works in construction]. 2012;12:8–14. (In Russ.) EDN: UDJITZ
- Korotich A.V. Architectonics of densest modules filling space with linear surfaces. Dizain i Techologii [Design and Technologies]. 2021;83-84(125–126):6–12 (In Russ.) EDN: HPYTEX
- Kwang H.K. A survey: application of geometric modeling techniques to ship modeling and design. International Journal of Naval Architecture and Ocean Engineering. 2010;2:177–184. http://doi.org/10.2478/IJNAOE-2013-0034 2
- Janson C., Larsson L. A method for the optimization of ship hulls from a resistance point of view. Twenty-First Symposium on Naval Hydrodynamic. Washington: The National Academies Press. 1997;680–696 https://doi.org/10.17226/5870
- Tober H. Evaluation of drag estimation methods for ship hulls. Stockholm: KTH Royal Institute of Technology, School of Engineering Sciences, 2020.
- Oetter R., Barry C.D., Duffty B., Welter J. Block construction of small ships and boats through use of developable panels. Journal of Ship Production. 2002;18(2):65–72. http://doi.org/10.5957/jsp.2002.18.2.65
- Perez-Arribas F., Fernandez-Jambrina L. Computer-aided design of developable surfaces: Designing with developable surfaces. Journal of Computers. 2018;13(10):1171–1176. http://doi.org/10.17706/jcp.13.10 1171–1176