| 斜拉索主参数共振的稳定性分析 |
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| 引用本文： | 赵跃宇,王涛,康厚军.斜拉索主参数共振的稳定性分析[J].动力学与控制学报,2008,6(2):112-117. |
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| 作者姓名： | 赵跃宇 王涛 康厚军 |
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| 作者单位： | 湖南大学力学与航空航天学院,长沙,410082;湖南大学土木工程学院,长沙,410082;湖南大学力学与航空航天学院,长沙,410082 |
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| 摘 要： | 研究轴向激励下斜拉索的主参数共振的稳定性问题．考虑拉索垂度和几何非线性的影响，导出了拉索在轴向激励下的非线性参数振动方程．利用多尺度方法研究了斜拉索的主参数共振问题，并对其稳态解的稳定性作了较详细的分析．对斜拉索的主参数共振进行了数值模拟，得到了不同阻尼、初始条件及激励幅值作用下拉索的时程曲线．结果表明：斜拉索的固有频率与外激励参数对斜拉索稳态解的个数及其稳定性都存在直接影响，从而对斜拉索的参数设计起到了指导作用．
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| 关 键 词： | 多尺度法 参数共振 稳定性 分叉 |
| 收稿时间： | 2008/4/15 0:00:00 |
| 修稿时间： | 2008/5/22 0:00:00 |
Analysis of the stability of principal parametric resonance of stayed-cable |
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| Wang Jingxiang,Wang Zaihua.Analysis of the stability of principal parametric resonance of stayed-cable[J].Journal of Dynamics and Control,2008,6(2):112-117. |
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| Authors: | Wang Jingxiang Wang Zaihua |
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| Affiliation: | 1.College of Mechanics and Aerospace;Hunan University;Changsha 410082;China;2.College of Civil Engineering;China |
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| Abstract: | The stability of principal parametric resonance of stayed-cable caused by axial excitation is investigated.Non-linear equations of vibration,in which the static sag as well as the geometric no-linearity is considered,are firstly derived.Then,the method of multiple scales is applied to the differential equation to analyze the principal parametric resonance of stayed-cable and the stability of the steady solutions is also investigated in detail.Finally,numerical simulation is used to study the principal param... |
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| Keywords: | multiple scales method parametric resonance stability bifurcation |
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