| 小垂度粘弹性索动力稳定性 |
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| 引用本文： | 李映辉,高庆,殷学纲.小垂度粘弹性索动力稳定性[J].西南交通大学学报,2001,36(6):609-611. |
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| 作者姓名： | 李映辉 高庆 殷学纲 |
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| 作者单位： | 1. 西南交通大学应用力学与工程系,四川成都,610031
2. 重庆大学工程力学系,重庆,400044 |
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| 摘 要： | 基于Revlon材料本构定律及索的运动方程导出了用模态坐标表示的受周期轴力的粘弹性索系统方程。使用分离变量法得到用模态坐标表示的线性周期系数常微分方程，给出了粘弹性索在周期轴力下的动力稳定性条件。数值结果给出了索在不同垂度比下的稳定域与不稳定域。
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| 关 键 词： | 粘弹性索 Revlon材料 动力稳定性 谐波平衡法 分离变量法 周期轴力 |
| 文章编号： | 0258-2724(2001)06-0609-03 |
Dynamic Stability Analysis of Viscoelastic Cables with Small Sag |
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| LI Ying hui ,GAO Qing ,YIN Xue gang.Dynamic Stability Analysis of Viscoelastic Cables with Small Sag[J].Journal of Southwest Jiaotong University,2001,36(6):609-611. |
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| Authors: | LI Ying hui GAO Qing YIN Xue gang |
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| Institution: | LI Ying hui 1,GAO Qing 1,YIN Xue gang 2 |
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| Abstract: | Based on the one dimensional constitutive equation of Relvon materials and the motion equation of cables, the governing equations of the viscoelastic cables in the vertical plane are derived. By using the variable separation method, a linear ordinary equation is obtained, which is expressed by modal coordinates and has periodic coefficients. The dynamic stability criteria of the viscoelastic cables subjected to periodic axial loads are obtained. The regions of stability and instability are plotted for various sag to span ratios. |
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| Keywords: | viscoelastity cable Revlon material dynamic stability harmonic balance method |
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