Modeling of building frames as spatial rod structures with geometric and physical nonlinearities

Authors

  • Yuriy Mikhailovich Vetyukov Johannes Kepler University Linz
  • Vladimir Vasil'evich Eliseev Saint-Petersburg State Polytechnic University

DOI:

https://doi.org/10.7242/1999-6691/2010.3.3.25

Keywords:

rod mechanics, nonlinear elasticity, steel concrete, finite element method

Abstract

We consider the stress-strain state of steel concrete rods, which comprise the frames of high multi-storey buildings under various static loadings: weight, wind, etc. The emphasis is put on geometric and physical nonlinearities in three-dimensional problems for the systems of multiple rods. Investigation is performed using the nonlinear theory of rods, physically nonlinear three-dimensional continuum mechanics in application to steel concrete, and the algorithms of computational mechanics.

Downloads

Download data is not yet available.

References

Berdicevskij V.L. Variacionnye principy mehaniki splosnoj sredy. - M.: Nauka, 1983. - 448 s.
Eliseev V.V. Mehanika uprugih tel. - Izd-vo SPbGPU, 2003. - 336 s.
Eliseev V.V. K nelinejnoj dinamike uprugih sterznej // PMM. 1988.T52. Vyp.4. S. 635 - 641.
Eliseev V.V., Orlov S.G. Asimptoticeskoe rasseplenie v prostranstvennoj zadace linejnoj prugosti dla udlinennyh tel so strukturoj // PMM. - 1999. - T.63, Vyp. 1. - S. 93-101.
Popov E.P. Teoria i rascet gibkih uprugih sterznej. - M.: Nauka, 1986. - 296 s.
Sul’kin U.B. Teoria uprugih sterznevyh konstrukcij. - M.: Nauka, 1984. - 272 s.
Antman St. Nonlinear problems of elasticity. - Springer, 1995. - 751 p.
Antman St. The theory of rods // Handbuch Physik, Springer. - 1972. - B. 6a. - P. 641-703.
Green A.E., Naghdi P.M., Wenner M.L. On the theory of rods // Proc. Roy. Soc. - 1974. - A. 337, N. 1611. - P. 451-507.
Rabotnov U.N. Mehanika deformiruemogo tverdogo tela. - M.: Nauka, 1988. - 711 s.
Bajkov V.N., Hampe E.H., Raue E. Proektirovanie zelezobetonnyh tonkostennyh prostranstvennyh konstrukcij. - M.: Strojizdat, 1990. - 232 s.
Karpenko N.I. Obsie modeli mehaniki zelezobetona. - M.: Strojizdat, 1996. - 416 s.
Lin T.I. Proektirovanie predvaritel’no naprazennyh zelezobetonnyh konstrukcij. - M.: Gosstrojizdat, 1960. - 438 s.
Krommer M., Vetyukov Yu. Adaptive sensing of kinematic entities in the vicinity of a time-dependent geometrically nonlinear pre-deformed state // Int. J. of Solids and Structures - 2009. - V. 46, N. 17. - P. 3313-3320. DOI

Published

2010-10-01

Issue

Section

Articles

How to Cite

Vetyukov, Y. M., & Eliseev, V. V. (2010). Modeling of building frames as spatial rod structures with geometric and physical nonlinearities. Computational Continuum Mechanics, 3(3), 32-45. https://doi.org/10.7242/1999-6691/2010.3.3.25