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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Language: | English |
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Wiley
2014-01-01
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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 1687-0409 |
language | English |
publishDate | 2014-01-01 |
publisher | Wiley |
record_format | Article |
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 |