0
Research Papers

Dynamic Stability of an Isotropic Metal Foam Cylindrical Shell Subjected to External Pressure and Axial Compression

[+] Author and Article Information
Tomasz Belica

Institute of Mechanical Engineering and Machine Operation, University of Zielona Gora, Szafrana 4, 65-246 Zielona Gora, Polandt.belica@ibem.uz.zgora.pl

Marek Malinowski

Institute of Mechanical Engineering and Machine Operation, University of Zielona Gora, Szafrana 4, 65-246 Zielona Gora, Polandm.malinowski@ibem.uz.zgora.pl

Krzysztof Magnucki

Institute of Applied Mechanics, Poznan University of Technology, Piotrowo 3, 60-965 Poznan, Poland; Institute of Rail Vehicles, Tabor, Warszawska 181, 61-055 Poznan, Polandkrzysztof.magnucki@put.poznan.pl

J. Appl. Mech 78(4), 041003 (Apr 12, 2011) (8 pages) doi:10.1115/1.4003768 History: Received May 14, 2010; Revised February 03, 2011; Posted March 08, 2011; Published April 12, 2011; Online April 12, 2011

This paper presents a nonlinear approach with regard to the dynamic stability of an isotropic metal foam circular cylindrical shell subjected to combined loads. The mechanical properties of metal foam vary in the thickness direction. Combinations of external pressure and axial load are taken into account. A nonlinear hypothesis of deformation of a plane cross section is formulated. The system of partial differential equations of motion for a shell is derived on the basis of Hamilton’s principle. The system of equations is analytically solved by Galerkin’s method. Numerical investigations of dynamic stability for the family of cylindrical shells with regard to analytical solution are carried out. Moreover, finite element model analysis is presented, and the results of the numerical calculations are shown in figures.

Copyright © 2011 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

Metal foam circular cylindrical shell

Grahic Jump Location
Figure 2

Scheme of a porous-cellular shell structure

Grahic Jump Location
Figure 3

Deformation of plane cross section scheme

Grahic Jump Location
Figure 4

Static and dynamic deflection of the shell

Grahic Jump Location
Figure 5

Dynamic deflection of the shell; k0=0.1

Grahic Jump Location
Figure 6

Dynamic deflection of the shell; k0=0.9

Grahic Jump Location
Figure 7

The influence of the load rate on dimensional time; k0=0.1

Grahic Jump Location
Figure 8

The influence of the load rate on dimensional time; k0=0.9

Grahic Jump Location
Figure 9

Discretization of constant material through the thickness of the shell (SHELL99)

Grahic Jump Location
Figure 10

The influence of the number of layers NL on the starting time of buckling: k0=0.9; e0=0.9

Grahic Jump Location
Figure 11

Example of FEA; k0=0.9

Grahic Jump Location
Figure 12

Dynamic displacement w of the shell versus time τ; k0=0.9

Grahic Jump Location
Figure 13

Dynamic deformation of the shell after τ=0.167 s; k0=0.9

Grahic Jump Location
Figure 14

Dynamic displacement w1 of the shell versus time τ; k0=0.1

Grahic Jump Location
Figure 15

Dynamic deformation of the shell after τ=0.15 s; k0=0.1

Grahic Jump Location
Figure 16

Comparison of dimensionless time values obtained with help of FEM-SHELL63 and computed values (A-N)

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