| 电机工程中一类非线性振动方程的渐近分析 |
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| 引用本文： | 程友良,戴世强. 电机工程中一类非线性振动方程的渐近分析[J]. 应用数学和力学, 1994, 0(1) |
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| 作者姓名： | 程友良 戴世强 |
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| 作者单位： | 华北电力学院基础部，上海工业大学，上海市应用数学和力学研究所 |
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| 摘 要： | 本文采用文［１］中提出的修正的方法，研究电机工程中一类非线性振动方程，定量地给出了存在极限环的参数范围以及极限环的振幅，并判定该极限环是不稳定的，这些结果与已知的定性分析结果完全一致，从而进一步证实了上述渐近方法的有效性。
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| 关 键 词： | 非线性振动，极限环，渐近分析，修正的方法 |
Ssymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering |
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| Cheng You-liang. Ssymptotic Analysis if a Class of Nonlinear Oscillation Equation in Electrical Engineering[J]. Applied Mathematics and Mechanics, 1994, 0(1) |
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| Authors: | Cheng You-liang |
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| Abstract: | In the present paper. we investigate a class of nonlinear oscillation equations in electrical engineering by using the modified Krylov-Bogolyubov method presented in[1].We obtain quantitatively the parameter range for the existence of a limit cycle and the amplitude of Hie limit cycle, and find that the limit cycle is unstable. All the results agree entirely with the known results given by qualitative analysis, hence confirm the effectiveness of the above-mentioned asymptotic method. |
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| Keywords: | nonlinear oscillation limit cycle asymptotic analysis modified Krylov-Boyolyuboy method |
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