Vibration Analysis of a Current-Carrying Wire in a Magnetic Field Apllying Variational Iteration Method
محورهای موضوعی : مجله بین المللی ریاضیات صنعتی
M. Hosseini
1
(Department of Mathematics, Islamic Azad University, Qhemshahr Branch, Qhaemshahr, Iran.)
کلید واژه: Current-carrying wire, Non-linear equation, linear elastic springs, Variational Iteration Method,
چکیده مقاله :
In the present investigation, Variational Iteration Method (VIM) is applied to solve the dynamic oscillation of a current-carrying wire in a magnetic field which is generated by a fixed current-carrying conductor parallel to the wire. Two linear springs are considered to restrict the wire to a rigid wall. In a special case, the periodic solution of the problem is obtained by VIM and compared with numerical solutions for different parameters. Results indicate high accuracy of this method which can be easily extended to solve other non-linear vibration equations, therefore can be applicable in other engineering problems.
In the present investigation, Variational Iteration Method (VIM) is applied to solve the dynamic oscillation of a current-carrying wire in a magnetic field which is generated by a fixed current-carrying conductor parallel to the wire. Two linear springs are considered to restrict the wire to a rigid wall. In a special case, the periodic solution of the problem is obtained by VIM and compared with numerical solutions for different parameters. Results indicate high accuracy of this method which can be easily extended to solve other non-linear vibration equations, therefore can be applicable in other engineering problems.
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