| 关于Duffing方程的受迫振动问题 |
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| 引用本文： | 冯黎波,万星火.关于Duffing方程的受迫振动问题[J].河北科技大学学报,1997(3). |
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| 作者姓名： | 冯黎波 万星火 |
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| 作者单位： | 河北科技大学（中校区）基础课部 |
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| 摘 要： | 用奇异摄动理论中的推广平均法，讨论了非自治系统Ｄｕｆｉｎｇ方程的受迫振动问题。给出了其在硬激励和软激励情况下的一阶近似解和共振情况下的频率响应方程。
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| 关 键 词： | 奇异摄动 受迫振动 Duffing方程 共振 |
About the Problems of Forced Vibration of Duffing Equation |
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| Institution: | Middle District |
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| Abstract: | The problems of forced vibration of duffing equation of non-autonomous system are discussed by use of the generalized average method in singular perturbation theorem.And the first order approximate solution in the cases of hard excitation and soft excitation and the frequency resonance equation in the case of resonance are given. |
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| Keywords: | singular perturbation forced vibration Duffing equation resonance |
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