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Dynamic elastic buckling of a slender beam with geometric imperfections subject to an axial impulse.pdf

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Dynamic elastic buckling of a slender beam with geometric imperfections subject to an axial impulse

*Corresponding author. E-mail address: farid.taheri@dal.ca (F. Taheri) Finite Elements in Analysis and Design 35 (2000) 227}246 Dynamic elastic buckling of a slender beam with geometric imperfections subject to an axial impulse S. Kenny!, N. Pegg, F. Taheri!,* !Department of Civil Engineering, DalTech, Dalhousie University, P.O. Box 1000, Halifax, NS, Canada B3J 2X4 Structural Acoustics and Strength, Defence Research Establishment Atlantic, P.O. Box 1012, Dartmouth, NS, Canada B2Y 3Z7 Abstract Results from a numerical investigation of the dynamic buckling of an elastic slender beam, with initial geometric imperfections, subjected to an intense axial impulse are presented. The pulse buckling response was numerically modelled via the nite di!erence and nite element methods. Three commercially available software packages were utilized during the investigations: ADINA (Users Manual, ADINA RD, Inc., 71 Elton Avenue, Watertown, MA, 02172, USA, September 1990 (/adina/).) ANSYS (Users Manual, Ver. 5.3, Troy Technology Park, 1960 Ring Drive, Troy, MI, 48083, USA, SAS IP Inc., 1997 ().) and NISA (Users Manual, Ver. 7, Engineering Mechanics Research Corporation, P.O. box 696, Troy, MI 48099, USA, 1997 ().). The analysis demonstrated that only random geometric imperfections would initiate the characteristic exponential growth of transverse buckling displacements. Accurate modelling of the peak buckling amplitude and modal response required aspect ratios in the order of 1 : 1. The nite di!erence models were consistent with theory. The performance of quadratic, plane strain nite element models was superior to that using beam elements. This was related to the inherent curvature restrictions dened through the Euler}Bernoulli beam element formulation. A buck- ling criterion based on critical load intensity was investigated. Details on the numerical models, computa- tions and analyses are presented. ( 2000 Elsevier Science B.V. All rights reserved. 1. Introduction Elastic stability h