Analytical approximate solutions to oscillation of a current-carrying wire in a magnetic field |
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| Authors: | WP Sun CW Lim BS Wu C Wang |
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| Institution: | 1. Department of Mechanics and Engineering Science, School of Mathematics, Jilin University, Changchun 130012, PR China;2. Department of Building and Construction, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong, China;3. Executive Vice President’s Office, Huazhong University of Science and Technology, Wuhan 430074, PR China |
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| Abstract: | This paper is concerned with analytical approximate solutions to dynamic oscillation of a current-carrying wire in a magnetic field generated by a fixed current-carrying conductor parallel to the wire. The wire is restrained to a fixed wall by linear elastic springs. The periodic oscillation solutions are obtained by generalizing the Newton-harmonic balance method. The procedure yields rapid convergence with respect to the “exact” solution obtained by numerical integration. In general, the results are valid for small as well as large oscillation amplitude. The method presented in this paper can be applied to other strongly nonlinear oscillators with more general restoring forces of rational form. |
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