Email this article 
INFLUENCE OF PHYSICAL NONLINEARITY ON THE CALCULATED INDICATORS OF STABILITY OF RETICULATED ONE-SHEET HYPERBOLOID OF REVOLUTION WITH DIFFERENT FORMS OF GENERATRICES
- Authors: TRUSHIN S.I.1, PETRENKO P.I.1
-
Affiliations:
- National Research Moscow State University of Civil Engineering (NRU MGSU), Moscow
- Issue: No 4 (2017)
- Pages: 50-56
- Section: Articles
- URL: https://journals.rudn.ru/structural-mechanics/article/view/16297
- DOI: https://doi.org/10.22363/1815-5235-2017-4-50-56
Cite item
Full Text
Abstract
The article contains a comparative stability analysis of initial equilibrium forms of reticulated one-sheet hyperboloids of revolution. The calculations are performed taking into account the geometric and the dual (geometric and material) nonlinearities. The influence of the shape of generatrix one-sheet hyperboloid of rotation on shells stability in these formulations of the problem is considered. The equilibrium curves of shells with load acting on the upper base are shown.
About the authors
SERGEY IVANOVICH TRUSHIN
National Research Moscow State University of Civil Engineering (NRU MGSU), Moscow
Author for correspondence.
Email: trushin2006@yandex.ru
TRUSHIN SERGEY IVANOVICH, was born in 1951, graduated from Saratov Polytechnic Institute in 1974. Doctor of Technical Sciences, Professor of the Department of Structural and Theoretical Mechanics in National Research Moscow State University of Civil Engineering (NRU MGSU). He is the author of over 130 publications, including research articles, manuals and monographs. The main research areas are: numerical methods in structural mechanics, finite element method, nonlinear analysis of spatial structures, theory of plates and shells, static and dynamic stability of structures
129337, г. Москва, Ярославское шоссе, д. 26PHILIP IGOREVICH PETRENKO
National Research Moscow State University of Civil Engineering (NRU MGSU), Moscow
Email: igif_philip@mail.ru
PETRENKO PHILIP IGOREVICH was born in 1991, graduated from Moscow State Open University in 2013. Since 2013 he has been a post-graduate student of the Department of Structural and Theoretical Mechanics in National Research Moscow State University of Civil Engineering (NRU MGSU). The main research areas are: formation of reticulated shells, finite element method, nonlinear analysis of spatial structures, stability of reticulated shells
129337, г. Москва, Ярославское шоссе, д. 26References
- Krivoshapko, S.N., Ivanov, V.N. (2010). Encyclopedia of analytical surfaces. M: Knizhnyi dom “LIBROKOM”, 560 p.
- Krivoshapko, S.N. (2002). Static, vibration and buckling analysis and applications to one-sheet hyperboloidal shells of revolution. Applied Mechanics Reviews, Vol. 55, No.3, p. 241 — 270
- Postnikov, M.M. (1973). Analytic Geometry. M: Nauka, 754 p.
- Trushin, S.I. (2016). Structural Mechanics: Finite Element Method. M: INFRA-M, 305 p.
- Reddy, J.N. (2005). An Introduction to Nonlinear Finite Element Analysis. New York: Oxford Univercity Press, 463 p.
- Bangerth, W., Rannacher, R. (2003). Adaptive Finite Element Methods for Differential Equations. Berlin: Birkhauser Verlag, 207 p.
- Liu, G.R., Quek, S.S. (2003). The Finite Element Method. A Practical course. Oxford: Elsevier Science, 348 p.
- Chen, Z.(2005) Finite Element Methods and Their Applications. Berlin: Springer-Verlag, 410p.
- Chaskalovic, J. (2008) Finite Element Methods for Engineering Sciences. Berlin: Springer-Verlag, 267 p.
- Trushin, S.I., Petrenko, Ph.I. (2014). The influence of the morphology of reticulated hyperboloid on its stress-strain state, stability and fundamental frequencies. Structural Mechanics and Analysis of Constructions, (4), p. 59 — 64.
- Trushin, S.I., Petrenko, Ph.I. (2016). Analysis of the stability of flexible reticulated shells in the form of hyperboloid of revolution, Science Review, (6), p. 95 — 99.
