Numerical analysis of the stability of a multi-element rod structure under disproportionate loading

Authors

  • Mariya Leonidovna Bartolomey Perm State National Research Polytechnical University
  • Nikolay Alexandrovich Тrufanov Perm State National Research Polytechnical University
  • Igor Nikolayevich Shardakov Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2012.5.1.4

Keywords:

finite element method, stability, multi-element rod structure, critical impact

Abstract

We study the stress-strain state and the process of stability loss for a multi-element rod structure supported by pillars, whose subsidence is prescribed. A numerical model is developed to reveal structure elements with lost stability. The calculated results corresponding to the stability loss process are compared with the data on stability loss obtained by engineering methods. Critical impacts that cause complete and local stability loss in the structure are determined.

Downloads

Download data is not yet available.

References

Gajdzurov P.P. Rascet sterznevyh sistem na ustojcivost’ i kolebania: Uceb. posobie dla vuzov. - Novocerkassk: URGTU, 2009. - 195 s.
Smirnov A.F., Aleksandrov A.V., Lasenikov B.A., Saposnikov N.N. Stroitel’naa mehanika. Dinamika i ustojcivost’ sooruzenij. - M: Strojizdat, 1984. - 413s.
Bazenov V.A., Dasenko A.F., Orobej V.F., Sur’aninov N.G. Cislennye metody v mehanike: Uceb. posobie. - 2004. - 564 s. (URL: http://www.ph4s.ru/book_pc_chisl.html).
Popov E.P. Teoria i rascet gibkih uprugih sterznej. - M.: Nauka, 1986. - 296 s.
Kuznecov V.V., Levakov S.V. O vtoricnoj potere ustojcivosti Ejlerova sterzna // PMTF. - 1999. - T. 40, No 6. - S. 184-185.
Levakov S.V. Formy ravnovesia i vtoricnaa potera ustojcivosti pramogo sterzna, nagruzennogo prodol’noj siloj // PMTF. - 2001. - T. 42, No 2. - S. 153-159.
Perel’muter A.V., Slivker V.I. Rascetnye modeli sooruzenij i vozmoznost’ ih analiza. - Kiev: Stal’, 2002. - 600 s.
Azyev C.B. Ustojcivost’ sterznej pri polzucesti s ucetom nacal’nyh nesoversenstv / Avtoref. dis. kand. teh. nauk: 05.23.17. - Rostov-na-Donu, 2010. - 21 s.
Gemmerling I.G. Razvitie metodov optimizacii i rasceta na ustojcivost’ uprugih sterznevyh sistem / Avtoref. dis. kand. fiz.-mat. nauk. - M., 1996. - 15 s.
Vetukov M.U., Eliseev V.V. Modelirovanie karkasov zdanij kak prostranstvennyh sterznevyh sistem s geometriceskoj i fiziceskoj nelinejnost’u // Vycisl. meh. splos. sred. - 2010. - T. 3, No 3. - S. 32-45.
Lee H.P. Damping effects on the dynamic stability of a rod subjected to intermediate follower loads // Comput. Methods Appl. Mech. Eng. - 1996. - V. 131, N 1-2. - P. 147-157. DOI
Majumdar A., Prior C., Goriely A. Stability estimates for a twisted rod under terminal loads: a three-dimensional study (URL: http://eprints.maths.ox.ac.uk/1450/1/finalOR64.pdf)
Rascety masinostroitel’nyh konstrukcij metodom konecnyh elementov: Spravocnik / Pod obs. red. V.I Macenkova. - M.: Masinostroenie, 1989. - 520 s.
Rabotnov U.N. Mehanika deformiruemogo tverdogo tela. - M.: Nauka, 1988. - 712s.
Zenkevic O. Metod konecnyh elementov v tehnike - M.: Mir, 1975. - 541 s.
SNiP II-23-81 Stal’nye konstrukcii.
Basov K.A. ANSYS. Spravocnik pol’zovatela. - M.: DMK Press, 2005. - 640 s.

Published

2012-05-01

Issue

Section

Articles

How to Cite

Bartolomey, M. L., Тrufanov N. A., & Shardakov, I. N. (2012). Numerical analysis of the stability of a multi-element rod structure under disproportionate loading. Computational Continuum Mechanics, 5(1), 25-32. https://doi.org/10.7242/1999-6691/2012.5.1.4