| 强非线性自治系统的频率展开法 |
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| 引用本文： | 胡敏. 强非线性自治系统的频率展开法[J]. 暨南大学学报(自然科学与医学版), 1999, 20(1): 123-127 |
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| 作者姓名： | 胡敏 |
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| 作者单位： | 中山大学应用力学与工程系!广东广州，510275，中山大学计算机科学系!广东广州，510275 |
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| 摘 要： | 给出强非线性自治系统周期振动的频率展开法．该法将动力系统的非线性恢复力表示为线性主部和非线性辅部；将系统的瞬时频率展开为幂级数，使系统的位移、速度和频率等一阶近似解由相位显式表示．
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| 关 键 词： | 强非线性自治系统 周期振动 频率展开法 |
An Expansion Frequency Method For Strongly Nonlinear Autonomous Systems |
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| Huang Chengbiao, Hu Ming. An Expansion Frequency Method For Strongly Nonlinear Autonomous Systems[J]. Journal of Jinan University(Natural Science & Medicine Edition), 1999, 20(1): 123-127 |
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| Authors: | Huang Chengbiao Hu Ming |
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| Abstract: | An expansion frequency method for strongly nonlinear autonomous systems is given. The nonlinear restoring force is expressed as both the linear mainbody and nonlinear secondary. The instaneous frequency is indicated as power series. The first order solutions is shown as explicit expressions in terms of the phase angle. |
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| Keywords: | strongly nonlinear autonomous system periodic vibration expansion frequency method |
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