| 用MLP法求强非线性保守系统的次谐共振周期解 |
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| 引用本文： | 彭献,盛国刚,钱长照. 用MLP法求强非线性保守系统的次谐共振周期解[J]. 振动与冲击, 2004, 23(3): 21-23 |
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| 作者姓名： | 彭献 盛国刚 钱长照 |
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| 作者单位： | 1. 湖南大学工程力学系,长沙,410082
2. 长沙理工大学桥梁与结构工程系,长沙,410076 |
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| 基金项目： | 湖南省自然科学基金资助项目 (0 1JJY2 0 0 7) |
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| 摘 要： | 在两种改进的LP解法的基础上，将它们结合起来，用于求强非线性保守系统的次谐共振周期解。研究了Dufling方程的1／3亚谐共振周期解和2次超谐共振周期解，结果表明本方法既可求得一类强非线性保守系统的次谐共振周期解又能提高解的计算精度。
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| 关 键 词： | 强非线性 保守系统 周期解 超谐共振 亚谐共振 计算精度 方程 解法 基础 方法 |
| 修稿时间： | 2003-02-18 |
Solving Subharmonic and Ultraharmonic Resonance Periodic Solutions of Strongly Nonlinear Conservative systems with the MLP Method |
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| Peng Xian Sheng Guogang Qian Changzhao. Solving Subharmonic and Ultraharmonic Resonance Periodic Solutions of Strongly Nonlinear Conservative systems with the MLP Method[J]. Journal of Vibration and Shock, 2004, 23(3): 21-23 |
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| Authors: | Peng Xian Sheng Guogang Qian Changzhao |
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| Affiliation: | Peng Xian 1 Sheng Guogang 2 Qian Changzhao 1 |
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| Abstract: | Two imlroved LP methods are combined to solve subharmonic and ultraharmonic resonance periodic solutions of strongly nonlinear conservative systems.The 1/3 subharmonic and 2 ultraharmonic resonance periodic solutions of the Duffing equation are studied.The results show that this method can be used not only to solve a series of subharmonic and ultrarharmonic resonance periodic solutions,but also to improve their accuracies. |
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| Keywords: | nonlinear system resonance parameter transformation undetermined constant |
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