| 强非线性对称振子周期振动的一种解法 |
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| 引用本文： | 黄赬彪,靳祥鹏,邬华东. 强非线性对称振子周期振动的一种解法[J]. 中山大学学报(自然科学版), 2002, 41(1): 12-14 |
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| 作者姓名： | 黄赬彪 靳祥鹏 邬华东 |
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| 作者单位： | 1. 中山大学应用力学与工程系,广东,广州,510275
2. 中山大学管理学院,,广东,广州,510275 |
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| 摘 要： | 给出一类强非线性对称振子周期振动的一种解法。此法先将常微分方程的求解问题化为积分方程的求解 ;再利用增量法的思想及谐波平衡原理 ,将积分问题化为求解谐波项系数的线性代数方程 ;最后给出本法的应用
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| 关 键 词： | 强非线性对称振子 周期振动 增量法 谐波平衡 |
| 文章编号： | 0529-6579(2002)01-0012-03 |
| 修稿时间： | 2001-03-28 |
A Solution to the Periodic Vibration of Strongly Nonlinear Symmetric Oscillators |
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| HUANG Cheng-biao ,JIN Xiang-peng ,WU Hua-dong. A Solution to the Periodic Vibration of Strongly Nonlinear Symmetric Oscillators[J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2002, 41(1): 12-14 |
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| Authors: | HUANG Cheng-biao JIN Xiang-peng WU Hua-dong |
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| Affiliation: | HUANG Cheng-biao 1,JIN Xiang-peng 2,WU Hua-dong 1 |
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| Abstract: | A solution to the periodic vibration of strongly nonlinear symmetric oscillators is given. First the ordinary differential equation is transformed into the integral equation. And then the integration equation is transformed into linear algebraic eguation,employing the idea of the incremental method and the principle of the harmonic balance. Finally,an application of the present method is given. |
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| Keywords: | strongly nonliear symmetric oscillator periodic vibration incremental method harmonic balance |
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