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Shock and Vibration
Volume 18 (2011), Issue 3, Pages 437-445

Three-Dimensional Shock Spectrum of Critical Component for Nonlinear Packaging System

Jun Wang,1,2 Zhi-Wei Wang,3 Li-Xin Lu,1,2 Yong Zhu,3 and Yong-Guang Wang1

1Department of Packaging Engineering, Jiangnan University, Wuxi, China
2Key laboratory of food packaging techniques & safety of China national packaging corporation, Wuxi, China
3Packaging Engineering Institute, Jinan University, Zhuhai, China

Received 22 July 2008; Revised 6 July 2009

Copyright © 2011 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


To evaluate the shock characteristics of critical component for a nonlinear packaging system, a new concept of three-dimensional shock spectrum was proposed. Three key coordinate parameters, such as the nondimensional pulse duration, the frequency parameter ratio and the ratio of the maximum response acceleration to the peak pulse acceleration, were governed in a novel dynamical mathematical model. It is shown that the shock response of critical component is weakened owning to the decrease in the defined system parameter. Furthermore, at low frequency parameter ratio, the enhancement of the damping ratio of the critical component leads to the decrease in the peak of the shock response, which can also be reduced by the increase in damping ratio of cushioning pad at both lower and higher frequency parameter ratios. The discussion and analysis provide some insights into the design of cushioning packaging as well.