Geometric nonlinear analysis of thin elastic paraboloid of revolution shaped shells with radial waves
- 作者: Gil-oulbé M.1, Markovich A.S.1, Ngandu P.1, Anosova S.V.1
-
隶属关系:
- Peoples’ Friendship University of Russia (RUDN University)
- 期: 卷 21, 编号 3 (2020)
- 页面: 208-214
- 栏目: Civil Engineering (Construction)
- URL: https://journals.rcsi.science/2312-8143/article/view/327459
- DOI: https://doi.org/10.22363/2312-8143-2020-21-3-208-214
- ID: 327459
如何引用文章
全文:
详细
From the old ancient types of roof and dome construction, various forms of shells have been discovered which attract special attention. A shell is a structure composed of sheet material so that the curvature plays an important role in the structural behaviour, realizing its spatial form. There are different types of shells, namely thick and thin shells. G. Brankov, S.N. Krivoshapko, V.N. Ivanov, and V.A. Romanova made interesting researches of shells in the form of umbrella and umbrella-type surfaces. The term “nonlinear” refers to a given structure undergoing a change in stiffness in its loaded state. There are basically three different types of nonlinearities: geometric, physical and contact (boundary condition nonlinearity). For further analysis of the stress-strain state, a paraboloid with an inner radius of 4 m and an outer radius of 20 m and the number of waves equal to 6 was considered. The test shell is made of reinforced concrete. The minimum load parameter at which the shell loses stability indicates a more than three times the margin.
作者简介
Mathieu Gil-oulbé
Peoples’ Friendship University of Russia (RUDN University)
编辑信件的主要联系方式.
Email: markovich-as@rudn.ru
Associate Professor of the Department of Civil Engineering of the Academy of Engineering of the RUDN University; PhD in Civil Engineering
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationAleksey Markovich
Peoples’ Friendship University of Russia (RUDN University)
Email: markovich-as@rudn.ru
Associate Professor of the Department of Civil Engineering of the Academy of Engineering of the RUDN University; PhD in Civil Engineering
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationProsper Ngandu
Peoples’ Friendship University of Russia (RUDN University)
Email: markovich-as@rudn.ru
undergraduate student of the Department of Civil Engineering of the Academy of Engineering of the RUDN University
6 Miklukho-Maklaya St, Moscow, 117198, Russian FederationSvetlana Anosova
Peoples’ Friendship University of Russia (RUDN University)
Email: markovich-as@rudn.ru
undergraduate student of the Department of Civil Engineering of the Academy of Engineering of the RUDN University
6 Miklukho-Maklaya St, Moscow, 117198, Russian Federation参考
- Krivoshapko SN, Mamieva IA. Analiticheskie poverhnosti v arhitekture zdaniy, konstruktziy i izdeliy [Analytical Surfaces in Architecture of Buildings, Structures, and Products]. Moscow: Librocom Publ.; 2018
- Brankov G. Corrugated shell structures. Bulg. Academy of Science; 1961.
- Krivoshapko SN. New examples of surfaces of umbrella type and their coefficients of fundamental forms of surfaces. Structural Mechanics of Engineering Constructions and Buildings. 2005;(2):6-14.
- Krivoshapko SN. On application of parabolic shells of revolution in building in 2000-2017. Structural Mechanics of Engineering Constructions and Buildings. 2017;(4):4-14.
- Reddy JN. An introduction to nonlinear finite element analysis. New York: Oxford University Press; 2005.
- Krivoshapko SN. The opportunities of umbrella-type shells. Structural Mechanics of Engineering Constructions and Buildings. 2020;16(4):271-278. http://dx.doi.org/ 10.22363/1815-5235-2020-16-4-271-278
- Ivanov VN. Analyses of stress-strain state of roofing of trade center in the form of umbrella shell by difference variation method. Structural Mechanics of Engineering Constructions and Buildings. 2008;(4):86-89.
- Chepurnenko AS, Kochura VG, Saybel AV. Finite elemental analysis of the stress deformed condition of waveform shells. Construction and Industrial Safety. 2018;11(63):27-31.
- Romanova VA. Visualization of forming of umbrella-type and umbrella surfaces with radial damping waves in the central point. Structural Mechanics of Engineering Constructions and Buildings. 2015;(3):4-8.
- Ariarskyi O, Shagalova I, Kravchenko T, Kulakova E. Umbrella surfaces morphology and their application in the architecture and design. Pratzi TDATU. 2011;4(49):178-190.
- Mamieva IА. Large-span structures in diploma projects of students architects of RUDN University. Structural Mechanics of Engineering Constructions and Buildings. 2020;16(3):233-240.
- Krivoshapko SN. Geometrical investigations of surfaces of umbrella type. Structural Mechanics of Engineering Constructions and Buildings. 2005;(1):11-17.
- Bradshaw R, Campbell D, Gargari M, Mirmiran A, Tripeny P. Special structures. Past, present, and future. Journal of Structural Engineering. 2002(June):691-701.
- Adriaenssens S, Block Ph, Veenendaal D. Shell Structures for Architecture: Form Finding and Optimization. Routledge; 2014.
- Krivoshapko SN. Step into the III millennium: architecture of shells and strength analysis of thin-walled building and engineering structures of complex shape. Installation and special work in construction. 2001;(8-9):2-5.
补充文件
