Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System
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 drop...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Shock and Vibration |
| Online Access: | http://dx.doi.org/10.1155/2015/408674 |
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| _version_ | 1832559499310792704 |
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| author | Shuang Song An-Jun Chen |
| author_facet | Shuang Song An-Jun Chen |
| author_sort | Shuang Song |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-8c0781794fde4057a1fd9aa4259f5e75 |
| institution | Kabale University |
| issn | 1070-9622 1875-9203 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Shock and Vibration |
| spelling | doaj-art-8c0781794fde4057a1fd9aa4259f5e752025-02-03T01:29:57ZengWileyShock and Vibration1070-96221875-92032015-01-01201510.1155/2015/408674408674Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging SystemShuang Song0An-Jun Chen1Department of Packaging Engineering, Jiangnan University, Lihu Road, Wuxi 214122, ChinaDepartment of Packaging Engineering, Jiangnan University, Lihu Road, Wuxi 214122, ChinaIn 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.http://dx.doi.org/10.1155/2015/408674 |
| spellingShingle | Shuang Song An-Jun Chen Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System Shock and Vibration |
| title | Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System |
| title_full | Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System |
| title_fullStr | Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System |
| title_full_unstemmed | Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System |
| title_short | Variational Iteration Method of Dropping Shock Response for the Suspension Spring Packaging System |
| title_sort | variational iteration method of dropping shock response for the suspension spring packaging system |
| url | http://dx.doi.org/10.1155/2015/408674 |
| work_keys_str_mv | AT shuangsong variationaliterationmethodofdroppingshockresponseforthesuspensionspringpackagingsystem AT anjunchen variationaliterationmethodofdroppingshockresponseforthesuspensionspringpackagingsystem |