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Shock and Vibration
Volume 2015, Article ID 408674, 6 pages
Research Article

Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System

1Department of Packaging Engineering, Jiangnan University, Lihu Road, Wuxi 214122, China
2China National Light Industry Package Quality Supervising & Testing Center, Lihu Road, Wuxi 214122, China

Received 23 November 2014; Accepted 6 April 2015

Academic Editor: Katsuhiko Saito

Copyright © 2015 Shuang Song and An-Jun Chen. 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.


In accordance with dropping shock dimensionless cubic nonlinear dynamic equation of suspension spring system, by variational iteration method, a first-order approximate solution of the system was obtained. The nondimensional peak of displacement, the nondimensional peak of acceleration, and the dropping shock extended period were compared with the results of the Runge-Kutta method, at which relative errors were less than 4%. The influence of suspension angle on peaks of response were discussed. It shows that the maximum response nondimensional acceleration decreases with decrease of the suspension angle under condition of the same nondimensional dropping shock velocity. Conditions for resonance were obtained by applying the variational iteration method, which should be avoided in the packaging design. The results provide reference for suspension spring system design.