Engineering Transactions, 30, 3-4, pp. 355-367, 1982

Some Results in the Numerical Analysis of Structural Instabilities Part II. Dynamics

M. Kleiber
Institute of Fundamental Technological Research, Warszawa
Poland

The paper is a direct continuation of the first part, [1], in which the application of the finite element technique to static stability problems was described and illustrated by a number of numerical examples. In this part of the paper some indications on how impulsive loading problems can be numerically analyzed with respect to the stability characteristics of motion are given. A step-­by-step algorithm for the time integration of the nonlinear equations of motion is described and applied to different buckling prone structures subjected to uniform step loading of infinite duration.

Full Text: PDF

References

M. KLEIBER, Some results in the numerical analysis of structural instabilities, Part I. Static, Rozpr. Inż., 30, 327-353, 1982.

B. BUDIANSKY, R. S. ROTH, Axisymmetric dynamic buckling of clamped shallow spherical shells, NASA Langley Research Center, TN D-1510, 1962.

N. C. HUANG, Axisymmetric dynamic snap-through of elastic clamped shallow spherical shells, AIAA J., 7, 215-220, 1969.

W. B. STEPHENS, R. E. FULTON, Axisymmetric static and dynamic buckling of spherical caps due to centrally distributed pressures, AIAA J., 7, 2120-2126, 1969.

J. A. STRICLIN, J. E. MARTINEZ, Dynamic buckling of clamped spherical caps under step pressure loadings, AIAA J., 7, 1212-1213, 1969.

N. AKKAS, Bifurcation and snap-through phenomena in asymmetric dynamic analysis of shallow spherical shells, Comp. Struct., 6, 241-251, 1976.

R. E. BALL, J. A. BURT, Dynamic buckling of shallow spherical shells, J. Appl. Mech., 40, 411- 416, 1973.

R. KAO, N. PERRONE, Dynamic buckling of axisymmetric spherical caps with initial imperfections Comp. Struct., 9, 463-473, 1978.

M. H. LOCK, S. OKUBO, J. S. WHITTIER, Experiments on the snaping of a shallow dome under a step pressure load, AIAA J., 6, 1320-1326, 1968.




Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland