| 非线性大挠度矩形板中的分叉 |
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| 引用本文： | 王京,韩强. 非线性大挠度矩形板中的分叉[J]. 华南理工大学学报(自然科学版), 2001, 29(3): 18-21 |
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| 作者姓名： | 王京 韩强 |
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| 作者单位： | 1. 华南理工大学 制图教研室,
2. 华南理工大学 交通学院, |
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| 摘 要： | 研究了一个非线性大挠度矩形板在简谐激励作用下的动力学行为。利用Galerkin原理和平均法建立了这一非线性系统的双模态模型，讨论了由于内共振导致的分叉行为，最后利用数值分析证实了理论分析得到的结论。
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| 关 键 词： | Galerkin原理 平均法 分叉 非线性大挠度矩形板 简谐激励 共振 双模态模型 动力学行为 |
Bifurcation Analysis of a Nonlinear Large Deflection Plate |
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| Wang Jing Han Qiang. Bifurcation Analysis of a Nonlinear Large Deflection Plate[J]. Journal of South China University of Technology(Natural Science Edition), 2001, 29(3): 18-21 |
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| Authors: | Wang Jing Han Qiang |
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| Affiliation: | Wang Jing 1 Han Qiang 2 |
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| Abstract: | The dynamic behavior of a nonlinear large deflection plate subjected to simple harmonic excitation is studied. Using the Galerkin principle, the double mode model is presented in this paper. The bifurcation behavior of the plate is examined in detail in the case of internal response. The method of averaging is used to derive a set of autonomous equations. The averaged differential equations are then examined to determine their bifurcation behavior. Finally, the results of theoretical analyses are numerically verified. |
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| Keywords: | Galerkin principle method of averaging bifurcation |
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