TY - JOUR
T1 - Analytical approximate solutions to oscillation of a current-carrying wire in a magnetic field
AU - Sun, W. P.
AU - Lim, C. W.
AU - Wu, B. S.
AU - Wang, C.
PY - 2009/6
Y1 - 2009/6
N2 - 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. © 2008 Elsevier Ltd. All rights reserved.
AB - 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. © 2008 Elsevier Ltd. All rights reserved.
KW - Analytical approximation
KW - Current-carrying wire
KW - Restoring force of rational form
KW - Strongly nonlinear oscillation
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U2 - 10.1016/j.nonrwa.2008.02.028
DO - 10.1016/j.nonrwa.2008.02.028
M3 - RGC 21 - Publication in refereed journal
SN - 1468-1218
VL - 10
SP - 1882
EP - 1890
JO - Nonlinear Analysis: Real World Applications
JF - Nonlinear Analysis: Real World Applications
IS - 3
ER -