Title of the article

ON BIFURCATION OF THIN CORRUGATED SHELL WITH AN ELASTIC FILLER UNDER ACTION OF NON-UNIFORM HYDROSTATIC PRESSURE

Authors

Nikonova T.V., the Vitebsk State Technological University, Vitebsk, the Republik of Belarus

Kuntsevich S.P., the Vitebsk State Technological University, Vitebsk, the Republik of Belarus

Mikhasev G.I., the Belarusian State University, Minsk, the Republik of Belarus

In the section MECHANICS OF DEFORMED SOLIDS
Year 2008 Issue 3 Pages 48-51
Type of article RAR Index UDK 539.3:534.1 Index BBK  
Abstract

The problem of buckling of a thin corrugated shell with elastic filler under action of the non-uniform hydrostatic pressure is considered. The influence of the elastic filler is taken into account as the additional pressure within the framework of Winkler's model. The semi-moment equations of the thin elastic shell theory are assumed as the governing ones. The rigid clamped conditions are considered at the edges of the shell. Assuming that the hydrostatic pressure depends upon the circumferential co-ordinate, solutions of the governing equations are constructed in the form of functions decaying far from some generator on the shell surface. Using the complex WKB-method, the boundary-value problem is reduced to the sequence of the one-dimensional boundary-value problems. The equation for the critical normal pressure has been obtained. The influence of parameters of corrugation of the shell on the critical pressure has been analyzed.

Keywords

buckling, thin corrugated shell, hydrostatic pressure, elastic filler, complex WKB-method

  You can access full text
Bibliography
  • Volmir A.S. Ustojchivost' deformiruemyh system [The stability of deformable systems]. Moscow, Nauka, 1967. 984 p.
  • Grigolyuk E.I. Kabanov, V.V. Ustojchivost' obolochek [Shells resistance], Moscow, Nauka, 1978. 360 p.
  • Tovstik P.E. Ustojchivost' tonkih obolochek [The stability of thin shells]. Moscow, Nauka, 1995. 320 p.
  • Ilgamov M.A., Ivanov V.A., Gulin B.V. Prochnost', ustojchivost' i dinamika obolochek s uprugim zapolnitelem [The strength, stability and dynamics of shells with elastic filler]. Moscow, Nauka, 1977. 332 p.
  • Tovstik P.E. Lokal'naja ustojchivost' plastin i pologih obolochek na uprugom osnovanii [Local stability of plates and shallow shells on an elastic foundation]. Izv. RAN. Mehanika tverdogo tela [News of Russian Academy of Sciences. Mechanics of Solids], 2005, no. 1, pp. 147-160.
  • Mikhasev G.I., Nikonova T.V. Ustojchivost' tonkih gofrirovannyh cilindricheskih obolochek, lezhashhih na uprugom osnovanii pod dejstviem odnorodnogo gidrostaticheskogo davlenija [Stability of thin corrugated cylindrical shells lying on an elastic foundation under the action of a uniform hydrostatic pressure]. Vestn. Viteb. gos. Un-ta [Bulletin of Vitebsk State University], 2007, no. 3, pp. 112-117.
  • Korbut B.A., Nagornyy Yu.N. Ob odnoj modeli zapolnitelja v zadachah ustojchivosti cilindricheskih obolochek [On an aggregate models in problems of stability of cylindrical shells]. Izv. vuzov. Mashinostroenie [News of universities. Mechanical Engineering], 1971, no. 6, pp. 16-21.
  • Korenev B.G. Voprosy rascheta balok i plit na uprugom osnovanii [Issues of calculation of beams and plates on elastic foundation]. Moscow, Gosstrojizdat, 1954. 232 p.
  • Mikhasev G.I., Nikonova T.V. Ocenka usilij v tonkostennoj gofrirovannoj trube s uprugim zapolnitelem pod dejstviem peremennogo davlenija [Evaluation of efforts in thin-walled corrugated pipe with elastic filler under the influence of alternating pressure]. Ves. Nac. akad. navuk Belarusi. Ser. fiz.-tjeh.navuk [Bulletin of the NAS of Belarus. An edition of physical and engineering sciences], 2005, no. 4, pp. 55-60.