0
TECHNICAL PAPERS

Buckling and Sensitivity to Imperfection of Conical Shells Under Dynamic Step-Loading

[+] Author and Article Information
Mahmood Jabareen

Faculty of Civil and Environmental Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israelcvjmah@techunix.technion.ac.il

Izhak Sheinman

Faculty of Civil and Environmental Engineering, Technion—Israel Institute of Technology, Haifa 32000, Israelcvrnrsh@techunix.technion.ac.il

J. Appl. Mech 74(1), 74-80 (Dec 07, 2005) (7 pages) doi:10.1115/1.2178836 History: Received May 25, 2005; Revised December 07, 2005

A general nonlinear dynamic analysis, based on Donnell’s shell-type theory, is developed for an arbitrary imperfect isotropic conical shell. It is used for studying dynamic stability and imperfection sensitivity under dynamic step loading. The nonlinear dynamic time history and the sensitivity behavior are examined in parametric terms over a wide range of aspect ratios. A general symbolic code (using the MAPLE compiler) was programmed to create the differential operators. By this means the Newmark discretization, Galerkin procedure, Newton-Raphson iteration, and finite difference scheme are applied for automatic development of an efficient FORTRAN code for the parametric study, and for examining the correlation of the sensitivity behavior between two different dynamic stability criteria. An extensive parametric study of the effect of the cone semi-vertex angle on the stability and sensitivity to imperfection under dynamic step loading was carried out. It was found that the dynamic buckling can indeed be derived from the nonlinear static solution.

Copyright © 2007 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

(a) Geometry and sign convention, (b) step axial load, and (c) imperfection shape as the buckling mode

Grahic Jump Location
Figure 2

Convergence curve; normalized total energy versus time step Δt

Grahic Jump Location
Figure 3

Variation of average axial displacement at x=0 with time

Grahic Jump Location
Figure 4

Dynamic displacement pattern of conical shell with α=30deg under N¯xx=0.48N¯xx,bif; (a) at time 0.025s; (b) at time 0.075s

Grahic Jump Location
Figure 5

Variation of maximum average axial displacement with applied load

Grahic Jump Location
Figure 6

Effect of in-plane inertia on time history

Grahic Jump Location
Figure 7

Axial load versus average axial displacement

Grahic Jump Location
Figure 8

Axial load versus average axial displacement for different semi-vertex angles

Grahic Jump Location
Figure 9

Imperfection sensitivity of conical shell under static and dynamic step load

Grahic Jump Location
Figure 10

Effect of the imperfection shape on static and dynamic buckling load

Grahic Jump Location
Figure 11

Effect of aspect ratio L∕R1 on the (a) bifurcation point and (b) static and dynamic buckling load

Grahic Jump Location
Figure 12

Effect of in-plane boundary conditions on static and dynamic buckling load

Grahic Jump Location
Figure 13

Effect of in-plane boundary conditions on the (a) nonlinear static behavior and (b) dynamic behavior

Grahic Jump Location
Figure 14

Effect of vertex half-angle on static (limit-point) and dynamic buckling load

Grahic Jump Location
Figure 15

Dynamic sensitivity to imperfection for different values of semi-vertex angles

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In