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| 一类多自由度非线性振动系统的多频摄动法 | |
| 引用本文： | 黄赪彪. 一类多自由度非线性振动系统的多频摄动法[J]. 振动工程学报, 1993, 6(2): 135-142 |
| 作者姓名： | 黄赪彪 |
| 作者单位： | 中山大学应用力学与工程系 广州，510275 |
| 基金项目： | 国家自然科学基金，中山大学科研基金资助项目 |
| 摘 要： | 本文把Lindstedt的频率展开思想推广到高维系统,并通过引进自变量的非线性变换,给出一类多自由度非线性自治系统内共振锁相周期解的多频摄动法。最后给出该法的若干应用。 |
| 关 键 词： | 多自由度 非线性振动 锁相周期解 多频摄动法 |
A Multiple-Frequency Perturbation Approach of Many Degrees Freedom Non-Linear Vibration Systems |
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| Huang Chengbiao. A Multiple-Frequency Perturbation Approach of Many Degrees Freedom Non-Linear Vibration Systems[J]. Journal of Vibration Engineering, 1993, 6(2): 135-142 | |
| Authors: | Huang Chengbiao |
| Abstract: | This paper extends the idea of Lindstedt's frequencies expansion into the non-linear autonomous sys-tems with many degrees of freedom and describes a multiple-frequency perturbation approach of the phase-locked periodic solutions for the case of the internal resonance by way of the non-linear trasformation ofthe independent variable.Finally,two application examples of the present method are given. |
| Keywords: | many degrees freedom non-linear vibration system phase-locked periodic solution multiplefrequency perturbation approach |
| 本文献已被 CNKI 维普 等数据库收录！ | |