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Strength and Stability of a Double Curvature Vaulted Shell

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Proceedings of MPCPE 2022 (MPCPE 2022)

Part of the book series: Lecture Notes in Civil Engineering ((LNCE,volume 335))

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Abstract

In the course of the study, an analysis of the basics and the beginning of the operation of the shells was carried out; the calculation of the structure was carried out taking into account the dimensions of the section due to deformations. During the review of the literature, it was found that the principle of operation of the United Nations depends on their Gaussian curvature, since the size differs significantly from the bearing capacity of the system; They actively begin to work as structural elements around the world, they begin to act as a shaping element of a building fence or protection of its cover; the double curvature configuration is exceptional as its shape is close to a parabola or pressure curve consumed as a result of loading; lattice shells of double curvature are self-supporting and allow covering a large area without the use of additional non-existent structures. In the shell of double curvature, there is a uniform distribution of loads on all elements, which virtually eliminates brittle fracture, and also helps to optimize the mass of the coating and increase the efficiency of the structure for payloads. As part of the work, the stress–strain state of a shell with double curvature was studied. Based on the data obtained, it can be concluded that the operation of the shell is limited due to corrosion of the elements. When replacing the lost elements, the shell is able to perceive the required standard load. The margin of safety and stability, taking into account the flexibility of the elements, is 35%. The reliability of the data obtained for the analysis of the model under study is ensured by the accuracy of the finite element method. The practical significance of the work lies in the development of a methodology for calculating and building a model of a unique structure.

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Acknowledgements

The study was carried out using the equipment of the interregional multispecialty and interdisciplinary center for the collective usage of promising and competitive technologies in the areas of development and application in industry/mechanical engineering of domestic achievements in the field of nanotechnology (Agreement No. 075-15-2021-692 of August 5, 2021).

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Authors and Affiliations

  1. Vladimir State University named after Alexander and Nikolay Stoletovs, Gorky Street, 87, 600000, Vladimir, Russian Federation

    Marina Popova & Dmitry Reva

  2. Wuhan Textile University, Wuhan, China

    Mei Shunqi

Authors
  1. Marina Popova
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  2. Mei Shunqi
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  3. Dmitry Reva
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Correspondence to Marina Popova .

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Editors and Affiliations

  1. Peter the Great St. Petersburg Polytechnic University, Saint-Petersburg, Russia

    Nikolai Vatin

  2. Department of Building Constructions, Vladimir State University, Vladimir, Russia

    Svetlana Roshchina

  3. Faculty of Civil Engineering, Riga Technical University, Riga, Latvia

    Dmitrijs Serdjuks

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Popova, M., Shunqi, M., Reva, D. (2024). Strength and Stability of a Double Curvature Vaulted Shell. In: Vatin, N., Roshchina, S., Serdjuks, D. (eds) Proceedings of MPCPE 2022. MPCPE 2022. Lecture Notes in Civil Engineering, vol 335. Springer, Cham. https://doi.org/10.1007/978-3-031-30570-2_27

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  • DOI: https://doi.org/10.1007/978-3-031-30570-2_27

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-031-30569-6

  • Online ISBN: 978-3-031-30570-2

  • eBook Packages: EngineeringEngineering (R0)

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