| 非线性振动系统的规范形与平均法 |
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| 引用本文： | 韩景龙 朱德懋. 非线性振动系统的规范形与平均法[J]. 振动工程学报, 1996, 9(4): 371-377 |
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| 作者姓名： | 韩景龙 朱德懋 |
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| 作者单位： | 南京航空航天大学振动工程研究所 |
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| 基金项目： | 国家自然科学基金,航空科学基金 |
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| 摘 要： | 对经典平均法提出一种改进方案。并在ｎ维一般情况下，证明平均方程恒满足规范形定义，从而可将其视为规范形理论在小参数振动方程中的推广。此外，还对规范形的极坐标形式进行了讨论，得到一些很有意义的结果。
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| 关 键 词： | 非线性振动；周期解；规范形；平均法 |
Normal Form and Averaging Method for Nonlinear Vibration Systems |
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| Han Jinglong Zhu Demao. Normal Form and Averaging Method for Nonlinear Vibration Systems[J]. Journal of Vibration Engineering, 1996, 9(4): 371-377 |
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| Authors: | Han Jinglong Zhu Demao |
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| Abstract: | Proposed in this paper is an improved averaging method,which always yields the unified definition of normal forms for n dimensional systems so that it can be considered as an extension of the normal forms for nonlinear vibration systems with small parameters.Moreover,the normal forms described by the pole coordinates are discussed and a number of interesting conclusions are drawn. |
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| Keywords: | nolinear vibration periodic solution normal form averaging method |
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