| 非线性大挠度矩形板中内共振导致的分叉 |
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| 引用本文： | 韩强, 杨桂通. 非线性大挠度矩形板中内共振导致的分叉[J]. 固体力学学报, 2001, 22(2): 199-204. doi: 10.3969/j.issn.0254-7805.2001.02.011 |
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| 作者姓名： | 韩强 杨桂通 |
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| 作者单位： | 华南理工大学交通学院力学系,; 太原理工大学应用力学研究所, |
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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 内共振 分叉Galerkin原理 分叉 |
| 修稿时间： | 1999-06-28 |
BIFURCATION ANALYSIS OF A NONLINEAR RECTANGULAR PLATE WITH LARGE DEFLECTION |
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| Han Qiang, Yang Guitong. BIFURCATION ANALYSIS OF A NONLINEAR RECTANGULAR PLATE WITH LARGE DEFLECTION[J]. Chinese Journal of Solid Mechanics, 2001, 22(2): 199-204. doi: 10.3969/j.issn.0254-7805.2001.02.011 |
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| Authors: | Han Qiang Yang Guitong |
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| Abstract: | The dynamic behavior of a nonlinear plate subjected to simple harmonic excitation is studied. Using the Galerkin principle, the double mode model is presented. 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 analysis are numerically verified. |
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| Keywords: | the Galerkin principle the averaging method internal response bifurcation |
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