The ability to predict crashworthiness is helpful for the cushion design. This is to minimize the impact loading on packaged products, such as drop impact loading occurring during shipment or transportation. In addition, the nonlinear characteristic of cushion system would affect the crashworthiness of the packaged goods. Therefore, an accurate analysis for the nonlinear cushion system is crucial in reliability design. However if nonlinear analysis is performed, a large computation load is required for numerical approaches; on the other hand, there is a need to include higher transcendent functions within the analytical approaches. In this paper, an analytical linearization method is applied to obtain quantitative solution in the nonlinear analysis. This method is not a numerical method, meanwhile, no high transcendent functions are considered. Therefore, the crashworthiness for nonlinear drop-impact systems can be quickly evaluated. In practical application, this method also shows good efficiency and good agreement with the experimental results.

1.
M. Barker and D. Eckroth. The Wiley Encyclopedia of Packaging Technology. John Wiley and Sons, New York, 1986.
2.
ASTMD 1596. Standard Test Methods for Dynamic Shock Cushioning Characteristics of Packaging Material. American Society of Testing and Materials, Philadelphia, Pa., 1998.
3.
Avalle
M.
,
Belingardi
G.
and
Montanini
R.
.
Characterization of polymeric structural foams under compressive impact loading by means of energy-absorption diagram
.
International Journal of Impact Engineering
,
25
:
455
472
,
2001
.
4.
Chen
S. H.
,
Yang
X. M.
and
Cheung
Y. K.
.
Periodic solutions of strongly quadratic nonlinear oscillators by the elliptic lindstedt-poincare method
.
Journal of Sound and Vibration
,
227
:
1109
1118
,
1999
.
5.
D. F. Lawden. Elliptic Functions and Applications. Springer-Verlag, New York, 1989.
6.
Ravindra
B.
and
Mallik
A. K.
.
Perfomance of nonlinear vibration isolators under harmonic excitation
.
Journal of Sound and Vibration
,
170
:
325
337
,
1994
.
7.
El-Asir
B.
,
Mansour
A.
,
Abu-Mowis
A.
and
Kassab
N.
.
A new approximate analytical analysis of the response of nonlinear damped systems subjected to step function excitation
.
Journal of Sound and Vibration
,
174
:
115
121
,
1994
.
8.
Yuqi Wang and K. H. Low. Damped response analysis of nonlinear cushion systems by a linearization method. Computers and Structures, 2005, in press.
9.
Styropor, expandable polystyrene (EPS), packaging with styropor. Technical report, BASF, 2003.
10.
H.T. Davis. Introduction to Nonlinear Differential and Integral Equations. Dover Publications, New York, 1962.
11.
M. Cartmell. Introduction to Linear, Parametric and Nonlinear Vibrations. Chapman and Hall, 1990.
12.
M. L. James, G. M. Smith, J. C. Wolford and P. W. Whaley. Vibration of Mechanical and Structural Systems. Harper Collins College Publisher, New York, 1994.
This content is only available via PDF.
You do not currently have access to this content.