Optimization study of shape of translational shell of square plan
- Authors: Tupikova E.M.1
-
Affiliations:
- Peoples’ Friendship University of Russia (RUDN University)
- Issue: Vol 15, No 5 (2019)
- Pages: 367-373
- Section: Theory of thin elastic shells
- URL: https://journals.rudn.ru/structural-mechanics/article/view/22360
- DOI: https://doi.org/10.22363/1815-5235-2019-15-5-367-373
Cite item
Full Text
Abstract
The aim of the work. The static analysis and comparison of the results for translational shells under equally distributed load of dead weight are provided. The shells of the similar general dimensions in plan and rise of four different types: translation of catenary along catenary, circle along circle, ellipse along ellipse and sinusoid along sinusoid are investigated. Methods. The finite element method was applied for the analysis. The research was conducted for the shells of material of
reinforced concrete characteristics. Results. The comparison has shown that shells of catenary and circle translation surface demonstrate the most advantageous behavior under loading; the worst results for reinforced concrete were got for ellipse along ellipse translation shell. The peculiarities of each type behavior were revealed, that is of interest for their prospective reduction to practice of structural design.
About the authors
Evgeniya M. Tupikova
Peoples’ Friendship University of Russia (RUDN University)
Author for correspondence.
Email: tupikova-em@rudn.ru
SPIN-code: 5501-6984
PhD Civil Engineering, Assistant Professor of Department of Civil Engineering, Engineering Academy.
6 Miklukho-Maklaya St., Moscow, 117198, Russian FederationReferences
- Novozhilov V.V., Chernyh K.F., Mihajlovskij E.I. (1991). Linejnaya teoriya tonkih obolochek [Linear theory of thin shells]. Leningrad: Politekhnika Publ. (In Russ.)
- Ram Ranjan Sahu, Pramod Kumar Gupta. (2015). Blast Diffusion by Different Shapes of Domes. Defense Science Journal, 65(1), 77–82.
- Nick B. (2017). Search for dome. 3D Warehouse. The Netherlands, Trimble Inc. https://extensions.sketchup.com/
- Gmirach K.M., Kozlov A.V. (2017). Podbor optimal'nyh parametrov ellipsoidnoj zhelezobetonnoj obolochki vrashcheniya [Selection of optimal parameters of an ellipsoid reinforced concrete shell of revolution]. Mezhdunarodnyj nauchno-issledovatel'skij zhurnal [International Research Journal], 2(56), part 3, 100–104. (In Russ.)
- Prabhavati P., Vankudre S.B., Varur Veeresh. (2014). Optimization of RCC Dome. International Journal of Engineering Research & Technology (IJERT), 3(6), 1515–1519.
- Zingoni A. (2002). Parametric stress distribution in shell-of-revolution sludge digesters of parabolic ogival form. Thin-Walled Structures, 40, 691–702.
- Krivoshapko S.N., Ivanov V.N. (2018). Pseudospherical shells in building industry. Building and Reconstruction, 2(76), 32–40. (In Russ.)
- Krivoshapko S.N., Ivanov V.N. (2018). Catenoidal shells. Promyshlennoe i grazhdanskoe stroitel'stvo [Industrial and Civil Engineering], 12, 7–13. (In Russ.)
- Krivoshapko S.N. (2018). Shells of revolution of nontrivial forms. Izvestiya Vuzov. Stroitelstvo, 7(715), 66–79. (In Russ.)
- Krivoshapko S.N. (2019). Optimal shells of revolution and main optimizations. Structural Mechanics of Engineering Constructions and Buildings, 15(3), 201–209. (In Russ.)
- Encyclopédie Des Formes Mathematiques Remarquables Surfaces. http://mathcurve.com/surfaces/surfaces.shtml
- Krivoshapko S.N., Ivanov V.N. (2015). Encyclopaedia of Analytical Surfaces. Springer International Publishing, Switzerland.
- Kohnke P. (1999). ANSYS: Theory Reference. Release 5.6. ANSYS Inc.
- Adriaenssens Sigrid, Veenendaal Diederik, Williams Chris J.K. (2014). Shell Structures for Architecture: Form Finding and Optimization. Routledge.
- Jasion P., Magnucki K. (2016). Buckling and postbuckling analysis of untypical shells of revolution. Insights and Innovations in Structural Engineering, Mechanics and Computation: Proc. of the 6th International Conference on Structural Engineering, Mechanics and Computation, SEMC-2016 (pp. 766–771).
- Gbaguidi Aïssè G.L. (2019). Influence of the geometrical researches of surfaces of revolution and translation surfaces on design of unique structures. Structural Mechanics of Engineering Constructions and Buildings, 15(4), 308–314. http://dx.doi.org/10.22363/1815-5235-2019- 15-4-308-314