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Mathematical Problems in Engineering
Volume 2013 (2013), Article ID 379068, 5 pages
Research Article

Drop Impact Analysis of Cushioning System with an Elastic Critical Component of Cantilever Beam Type

1Ningbo Institute of Technology, Zhejiang University, Ningbo 315100, China
2School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027, China

Received 25 March 2013; Revised 16 April 2013; Accepted 17 April 2013

Academic Editor: Jun Wang

Copyright © 2013 De Gao et al. 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 some electronic products and sculpture crafts, there are possibly vulnerable elements that can be idealized as cantilever beam type, failure of which will certainly lead the whole product to lose function. Based on the critical component of cantilever beam type, a nonlinear coupling dynamics model between the critical component and the item was established. The computing procedure of the model was designed using finite difference scheme. A numerical example shows that the acceleration changes notably with the length of the critical component, and the cantilevered end of the critical component is liable to be damaged, because the dynamic stress there is the largest. In this case, the maximum acceleration just cannot serve as the damaged criterion of the packaged goods, only with the maximum stress value. In order to avoid making a mistake, it is necessary to consider the critical component as an elastic element. The maximum stress of the cantilever beam surpasses the proportional limit of elastic components or is not an effective structural strength to determine whether the product loses its functions.