载流导线的横向非线性振动

LATERAL NONUNEAR VIBRATION OF CONDUCTING WIRE CARRYING ELECTRIC CURRENT

研究二长直电流间载流导线的横向非线性振动,采用广义加权残值法将偏微运动方程简化。导线载直流时得到Duffing方程,求出解和频率的精确形式和近似形式。导线载交流时得到非线性Mathieu方程,共振解用摄动法得到。交直载流的频幅流形都反应出二长直电流间载流导线横向振动典型的非线性。

This paper gives studies of the lateral vibration of two long straight conducting wires carrying electric current. The generalized weighted residual method is employed to simplify the partial differential e-quation of motion. In the case that the current in the wire is direct, the Buffing's equation is obtained, from which the exact and also the approximate forms of the solution and the frequency are obtained. In the case that the wire carrying alternating current the nonlinear Mathieu equation is obtained. To obtain the resonance solution, the perturbation method is used. In both cases, all show up the typical nonlin-earities of the lateral vibration of the conducting wire carrying electric current.