The internal shock loading of cylindrical shells can be represented as a step load advancing at constant speed. Several analytical models are available to calculate the structural response of shells to this type of loading. These models show that the speed of the shock wave is an important parameter. In fact, for a linear model of a shell of infinite length, the amplitude of the radial deflection becomes unbounded when the speed of the shock wave is equal to a critical velocity. It is evident that simple (static) design formulas are no longer accurate in this case. The present paper deals with a numerical and experimental study on the structural response of a thin aluminum cylindrical shell to shock loading. Transient finite element calculations were carried out for a range of shock speeds. The results were compared to experimental results obtained with the GALCIT 6-in. shock tube facility. Both the experimental and the numerical results show an increase in amplitude near the critical velocity, as predicted by simple steady-state models for shells of infinite length. However, the finite length of the shell results in some transient phenomena. These phenomena are related to the reflection of structural waves and the development of the deflection profile when the shock wave enters the shell.

Issue Section:
Research Papers
Topics:
Pipes, Shock (Mechanics), Shells, Shock waves, Deflection, Transients (Dynamics), Aluminum, Design, Finite element analysis, Reflection, Shock tubes, Steady state, Stress, Waves
1.
de Malherbe
M.
,
Wing
R.
,
Laderman
A.
, and
Oppenheim
A.
,
1966
, “
Response of a Cylindrical Shell to Internal Blast Loading
,”
Journal of Mechanical Engineering Science
, Vol.
8
(
1
), pp.
91
–
98
.
2.
Dieterman
H.
, and
Metrikine
A.
,
1996
, “
The Equivalent Stiffness of a Half-Space Interacting With a Beam. Critical Velocities of a Moving Load Along the Beam
,”
European Journal of Mechanics, A/Solids
, Vol.
15
(
1
), pp.
67
–
90
.
3.
Dieterman
H.
, and
Metrikine
A.
,
1997
, “
Steady-State Displacements of a Beam on an Elastic Half-Space Due to a Uniformly Moving Constant Load
,”
European Journal of Mechanics, A/Solids
, Vol.
16
(
2
), pp.
295
–
306
.
4.
Felszeghy
S.
,
1996
a, “
The Timoshenko Beam on an Elastic Foundation and Subject to a Moving Step Load—Part I: Steady-State Response
,”
ASME Journal of Vibration and Acoustics
, Vol.
118
, pp.
277
–
284
.
5.
Felszeghy
S.
,
1996
b, “
The Timoshenko Beam on an Elastic Foundation and Subject to a Moving Step Load—Part II: Transient Response
,”
ASME Journal of Vibration and Acoustics
, Vol.
118
, pp.
285
–
291
.
6.
Mackerle
J.
,
1996
, “
Structural Response to Impact, Blast and Shock Loadings. A FE/BE Bibliography (1993–1995)
,”
Finite Elements in Analysis and Design
, Vol.
24
, pp.
95
–
110
.
7.
Pan
G.
,
Okada
H.
, and
Atluri
S.
,
1994
, “
Nonlinear Transient Dynamic Analysis of Soil-Pavement Interaction Under Moving Load: A Coupled BEM-FEM Approach
,”
Engineering Analysis with Boundary Elements
, Vol.
14
, pp.
99
–
112
.
8.
Reismann, H., 1965, “Response of a Pre-Stressed Cylindrical Shell to Moving Pressure Load,” S. Ostrach and R. Scanlon, eds., Eighth Midwest Mechanics Conference, Pergamon Press, pp. 349–363.
9.
Simkins, T., 1987, “Resonance of Flexural Waves in Gun Tubes,” Technical Report ARCCB-TR-87008, US Army Armament Research, Development and Engineering Center, Watervliet, NY, July.
10.
Tang
S.
,
1965
, “
Dynamic Response of a Tube Under Moving Pressure
,”
Proceedings, American Society of Civil Engineers
, Vol.
5
, Engineering Mechanics Division, Oct, pp.
97
–
122
.
This content is only available via PDF.
Copyright © 1999
 by The American Society of Mechanical Engineers
You do not currently have access to this content.