Engineering Transactions, 42, 1-2, pp. 61-74, 1994

Stability of the Cylindrical Panel. Experimental Investigations and Numerical Analysis

J. Marcinowski
Wrocław University of Technology, Wrocław
Poland

D. Antoniak
Wrocław University of Technology, Wrocław
Poland

The steel shallow cylindrical shell subjected to the action of a concentrated force applied at its center is the subject of the experimental test and-numerical analysis. Both investigations were performed within the large deformation range. At the same time strains and stresses remained small enough to ensure purely elastic material changes within the shell. Special attention was focussed on the stability phenomena. The fundamental equi­librium paths with all critical points as well as the postbuckling path were determined numerically. This solution was compared with the equilibrium path obtained in the experiment. Satisfactory agreement of the obtained solutions confirmed the correctness and versatility of the program used in the numerical analysis. The conclusions drawn from the comparative analysis performed are presented in the paper.

Full Text: PDF
Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).

References

M.A. CRISFIELD, A fast incremental iterative solution procedure that handles "snap-through", Comp. Struct., 13, 55-62, 1981.

T. MATSUI, O. MATSUOKA, A new finite element scheme for instability analysis of thin shells, Int. J. Num. Meth. Engng,, 10, 145-170, 1976.

J. MARCINOWSKI, Calculation of the nonlinear equilibrium paths of the structures [in Polish], Arch. Inż. Ląd. 35, 3-4, 283-297, 1989.

M. RADWAŃSKA, Large deformations and stability analysis of space structures by FEM [in Polish], Wyd. Politechniki Krakowskiej, 1990.

W.B. KRATZIG, Y. BASAR, U. WITTEK, Nonlinear behaviour and elastic stability of shells. Theoritical concepts. Numerical computations. Results, [in:] Buckling of Shells, [Ed.] E. RAMM, Proc, State Art Colloq., Universit3.t Stuttgart, Germany, May 6-7 1982, Springer-Verlag, 1982.

C.T. TSAI, A.N. PALAZOTTO, Nonlinear and multiple snapping responses of cylin­drical panels comparing displacements control and Riks method, Comp. and Struc., 41, 4, 605-610, 1991.

S. AHMAD, B.M. IRONS, O.C. ZIENKIEWICZ, Analysis of thick and thin shell structures by curved finite elements, Int. J. Num. Meth. Engng., 2, 419-451, 1970.

S.F. PAWSEY, R.W. CLOUGH, Improved numerical integration of thick shell finite elements, Int. J. Num. Meth. Engng., 3, 575-586, 1971.

O.C. ZIENKIEWICZ, R.L. TAYLOR, J.M. TOO, Reduced integration technique in general analysis of plates and shells, Int. J. Num. Meth. Engng., 3, 275-290, 1971.

J.L. BATOZ, G. DHATT, Incremental displacement algorithms for nonlinear problems, Int. J. Num. Meth. Engng., 14, 1262-1267, 1979.

K. HUSEYIN, Nonlinear theory of elastic stability, Noordhoff Inter. Publ., Leyden 1975.

J.M.T. THOMSON, G.W. HUNT, A general theory of elastic stability, J. Wiley and Sons, 1973.