The transport of hazardous materials in truck cargo tanks can cause severe environmental damage as a result of the tank’s failure during a collision. Impact due to collision involves the transient dynamic response of the tank, fluid and their interaction. This paper develops a design oriented computational approach to predict the dynamic transient response of the tank shell structure subjected to impact loads during crash accidents. In order to compute the fluid and structural interaction, the finite element formulations for the added mass to the structure are developed and integrated with DYNA3D, a nonlinear dynamic structural finite element code, and they are validated by pendulum impact experiment. This paper presents the lumping process required by the added mass approach for cargo tanks under impact conditions. Thus, due to its efficiency the computer based approach provides a design tool for fluid filled thin walled structures in general and cargo tanks subjected to an impact situation. The structural performance of cargo tank shell construction is investigated. This research will contribute to improvement in design, modeling, and analysis techniques for crashworthiness and integrity of liquid mechanical structure systems which are subjected to impulsive loads like those found in vehicle collisions.

Issue Section:
Research Papers
Topics:
Collisions (Physics), Fuels, Nonlinear dynamics, Shells, Simulation, Tankers, Design, Fluids, Finite element analysis, Stress, Transients (Dynamics), Accidents, Computers, Construction, Crashworthiness, Damage, Dynamic response, Failure, Hazardous substances, Mechanical structures, Modeling, Pendulums, Traffic accidents, Trucks, Vehicular collisions
1.
Ahmad
S.
,
Irons
B. M.
, and
Zienkiewicz
O. C.
, “
Analysis of Thick and Thin Shell Structures by Curved Elements
,”
Int. J. Num. Methods in Eng.
, Vol.
2
, pp.
419
–
451
,
1970
.
2.
Bathe
K. J.
,
Ramm
E.
, and
Wilson
E.
, “
Finite Element Formulations for Large Deformation Dynamic Analysis
,”
Int. J. Num. Meth. in Eng.
, Vol.
9
, pp.
353
–
386
,
1975
.
3.
Buth, C., “Guidelines for Structural Evaluation of Cargo Tanks,” Interim Report, FHWA, U.S. D.O.T., 1993.
4.
Chen
S. S.
,
Wambsganss
M. W.
, and
Jendrzejczyk
J. A.
, “
Added Mass and Damping of a Vibrating Rod in Confined Viscous Fluid
,”
ASME JOURNAL OF APPLIED MECHANICS
, Vol.
43
,
325
–
329
, 1976.
5.
Chung
H.
, and
Chen
S. S.
, “
Hydrodynamic Mass
,”
ASME
, PVP-Vol.
157
, pp.
1
–
11
,
1989
.
6.
Dvrokin, E. N., and Bathe, K. J., “A Continuum Mechanics Based Four-Node Shell Element for General Nonlinear Analysis,” Engineering Computations, No. 1, pp. 77–88, 1984.
7.
Goudreau
G. L.
, and
Hallquist
J. O.
, “
Selection and Optimization of Nonlinear Material Models for Lagrangian Continuum Computation
,”
ASME
, AMD-Vol.
54
, pp.
65
–
73
,
1983
.
8.
Hinton
E.
,
Rock
T.
, and
Zienkiewicz
O. C.
, “
A Note on Mass Lumping and Related Processed in the Finite Element Method
,”
Earthquake Eng. Struct. Dyn.
, Vol.
4
, pp.
246
–
249
,
1976
.
9.
Huang
H.
, and
Hinton
E.
, “
A Nine-Node Lagrange Mindlin Plate Element With Enhanced Shear Interpolation
,”
Engineering Computations
, Vol.
1
, pp.
369
–
379
,
1984
.
10.
Hughes
T. J.
, and
Tezduyar
T. E.
, “
Finite Elements Based on Mindlin Plate Theory With Particular Reference to the Four-Node Isoparametric Element
,”
ASME Journal of Applied Mechanics
, Vol.
48
, pp.
587
–
596
,
1981
.
11.
Hughes
T. J.
, and
Liu
W. K.
, “
Nonlinear Finite Element Analysis of Shells, Three Dimensional Shells
,”
Comp. Meths. Appl. Mechs.
, Vol.
27
, pp.
331
–
362
,
1981
.
12.
Kondo
H.
, “
Seismic Response of a Reactor Vessel Subjected To Horizontal Excitations
,”
ASME
, PVP-Vol.
157
, pp.
55
–
59
,
1989
.
13.
Liu
W. K.
, and
Chang
H.
, “
On a Numerical Method of Liquid Filled System
,”
Computer and Structure J.
, Vol.
34
, No.
2
, pp.
303
–
311
,
1990
.
14.
Muller
W. C.
, “
Simplified Analysis of Fluid-Structure Interaction
,”
Int. Jou. for Num. Meth. in Eng.
, Vol.
17
, pp.
113
–
121
,
1981
.
15.
Park, S., “Simulation and Experiment of Nonlinear Dynamics of Liquid-Filled Shell Structure Subjected to Low-Speed Impulsive Loading,” Ph.D. Dissertation, The Pennsylvania State University, 1996.
16.
Ramm, E., and Buchter, N., “Comparision of Shell Theory and Degeneration,” Udine, pp. 24–28, 1991.
17.
Samuels, M., and Hunt, H. K., “Finite Element Stress Analysis of a MC331 Cargo Transport,” Final Report, HLA-R84105, FHWA, U.S.D.O.T., 1986.
18.
Surana
K. S.
, “
Lumped Mass Matrices With Non-Zero Inertia for General Shell and Axisymmetric Shell Elements
,”
Int. J. Num. Meth. Engng.
, Vol.
4
, pp.
5
–
10
,
1972
.
19.
Wilson
E. L.
, and
Khavalti
M.
, “
Finite Elements for the Dynamic Analysis of Fluid-Solid Systems
,”
Int. J. Num. Methods in Eng.
, Vol.
19
, pp.
1657
–
1668
,
1983
.
20.
University of California Lawrence Livermore Lab., “DYNA3D (Nonlinear Dynamic Analysis of Structures in Three Dimensions),” 1994.
21.
U.S. D.O.T., “Cargo Tank Incident Report,” Hazardous Material Incident Report 1983.
22.
Zienkiwicz
O. C.
, and
Bettess
P.
, “
Fluid-Structure Dynamic Interaction and Wave Forces, An Introduction to Numerical Treatment
,”
Int. Jou. for Num. Meth. in Eng.
, Vol.
13
, pp.
1
–
16
,
1978
.
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