Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System

The dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. Then, a first-order approximate solution was obtained by applying He’s variable...

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Main Authors: Shuang Song, Ning-ning Duan, An-jun Chen
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/385404
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author Shuang Song
Ning-ning Duan
An-jun Chen
author_facet Shuang Song
Ning-ning Duan
An-jun Chen
author_sort Shuang Song
collection DOAJ
description The dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. Then, a first-order approximate solution was obtained by applying He’s variable iteration method. Based on the results, a damage evaluation equation was derived, which reveals the main controlling physical parameters for damage potential of drop to packaged products concretely. Finally, the dropping damage boundary curves and surfaces for the system were discussed. It was found that decreasing the suspension angle can improve the safe region of the system.
format Article
id doaj-art-ee1754562de0424bb659b13a47316cd1
institution Kabale University
issn 1085-3375
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language English
publishDate 2014-01-01
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series Abstract and Applied Analysis
spelling doaj-art-ee1754562de0424bb659b13a47316cd12025-02-03T00:59:14ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/385404385404Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging SystemShuang Song0Ning-ning Duan1An-jun Chen2Department of Packaging Engineering, Jiangnan University, Wuxi 214122, ChinaDepartment of Packaging Engineering, Jiangnan University, Wuxi 214122, ChinaDepartment of Packaging Engineering, Jiangnan University, Wuxi 214122, ChinaThe dropping damage evaluation for packaging system is essential for safe transportation and storage. A dynamic model of nonlinear cubic-quintic Duffing oscillator for the suspension spring packaging system was proposed. Then, a first-order approximate solution was obtained by applying He’s variable iteration method. Based on the results, a damage evaluation equation was derived, which reveals the main controlling physical parameters for damage potential of drop to packaged products concretely. Finally, the dropping damage boundary curves and surfaces for the system were discussed. It was found that decreasing the suspension angle can improve the safe region of the system.http://dx.doi.org/10.1155/2014/385404
spellingShingle Shuang Song
Ning-ning Duan
An-jun Chen
Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
Abstract and Applied Analysis
title Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
title_full Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
title_fullStr Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
title_full_unstemmed Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
title_short Application of Variational Iteration Method for Dropping Damage Evaluation of the Suspension Spring Packaging System
title_sort application of variational iteration method for dropping damage evaluation of the suspension spring packaging system
url http://dx.doi.org/10.1155/2014/385404
work_keys_str_mv AT shuangsong applicationofvariationaliterationmethodfordroppingdamageevaluationofthesuspensionspringpackagingsystem
AT ningningduan applicationofvariationaliterationmethodfordroppingdamageevaluationofthesuspensionspringpackagingsystem
AT anjunchen applicationofvariationaliterationmethodfordroppingdamageevaluationofthesuspensionspringpackagingsystem