Vibration Analysis of a Current-Carrying Wire in a Magnetic Field Apllying Variational Iteration Method

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 dierent 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.