移动磁场作用下的通电导线的非线性动力学分析

Primary Resonance of Wire Subjected to Harmonic Excitation in Magnetic Field

研究输电线在磁场中谐扰力作用下的主共振问题,应用动力学方法建立磁场中受谐扰力作用输电线的非线性振动。根据非线性振动的多尺度解法,得到了系统满足主共振情况的近似解,并对其进行数值计算。分析磁场变化、外部激励、调谐值、阻尼等对系统的响应。得到系统失稳的临界磁场强度,指出力幅响应曲线存在跳跃现象。

Primary resonance of wire subjected to harmonic excitation in magnetic field is studied.The nonlinear vibration equation of wire subjected to harmonic excitation in magnetic field is established by means of dynamics theory.According to the method of multiple scales for nonlinear vibration analysis,the approximation solution of primary resonance of the system is obtained.Numerical analysis on the influence of magnetic,excitation,detuning,and damping on the system is carried out.Critical broken magnetic value is acquired.It pointed out that the system exists jump phenomena.