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Lagrange-Maxwell equation and magnetic saturation parametric resonance of generator set 总被引:1,自引:0,他引:1
Lagrange-Maxwell's equation is extended firstly.With the theory of elec- tromechanical analytical dynamics,the magnetic complement energy in air gap of gener- ator is acquired.The torsional vibration differential equations with periodic coefficients of rotor shafting of generator which is in the state of magnetic saturation are established. It is shown that the magnetic saturation may cause double frequency electromagnetic moment.By means of the averaging method,the first approximate solution and corre- sponding solution of the primary parametric resonance is obtained.The characteristics and laws of the primary parametric resonance excited by the electromagnetism are ana- lyzed and some of new phenomena are revealed. 相似文献
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研究受简谐激励的二长直电流间载流导线的三次超谐共振问题,应用动力学方法建立载流导线受外部激励和安培力的Duffing方程.根据非线性振动的多尺度解法,得到系统满足三次超谐共振情况的一次近似解以及对应的定常解,并对其进行数值计算.分析直流、交流、调谐值、张力、激励等对系统的影响. 相似文献
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