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Application of Variational Iteration Method with Energy Method for Nonlinear Equation Arisen from Packaging System
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-11
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
The variational iteration method (VIM) is widely applied for solving various kinds of nonlinear equations.
Despite its simplicity and effectiveness, the accuracy of the method may depend on the iteration steps.
However, the more iteration steps one makes, the more complex the results may become.
To overcome this shortcoming, a new method combining the VIM with energy method (EM) is proposed and applied to study the nonlinear response of cubic packaging system.
The analytical expressions of the important parameters such as the maximum displacement response, the maximum acceleration response of the system, the extended period of the shock, and the conditions for inner resonance of system were obtained.
The results show that the maximum of the acceleration and the displacement and the extended period of the shock got by this method are very similar to the ones got by Runge-Kutta method.
The result provides the new method for the dropping shock problem of nonlinear packaging system.
American Psychological Association (APA)
Chen, An-Jun. 2013. Application of Variational Iteration Method with Energy Method for Nonlinear Equation Arisen from Packaging System. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009056
Modern Language Association (MLA)
Chen, An-Jun. Application of Variational Iteration Method with Energy Method for Nonlinear Equation Arisen from Packaging System. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1009056
American Medical Association (AMA)
Chen, An-Jun. Application of Variational Iteration Method with Energy Method for Nonlinear Equation Arisen from Packaging System. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009056
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009056