| 三参量固体模型粘弹性输流管道的动力特性分析 |
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| 引用本文： | 赵凤群,王忠民,冯振宇.三参量固体模型粘弹性输流管道的动力特性分析[J].固体力学学报,2002,23(4):483-489. |
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| 作者姓名： | 赵凤群 王忠民 冯振宇 |
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| 作者单位： | 1. 西安理工大学理学院,西安,710048
2. 长安大学基础部,西安,710064 |
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| 基金项目： | 陕西省自然科学基金 (99SL0 7)，陕西省教育厅专项科研计划项目 (0 0JK2 0 6 )资助 |
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| 摘 要： | 推导了三参量固体模型粘弹性输流管道的振动微分方程 ,计算了在不同无量纲松弛系数和弹性常数比下管道的无量纲临界流速和无量纲自振复频率 ,并给出了前三阶复频率与流速的关系 .计算结果表明 ,质量比、无量纲松弛系数及无量纲弹性常数比对输流管道的动力特性均有影响 .
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| 关 键 词： | 粘弹性输流管道 动力稳定性 无量纲弹性常数比 无量纲松弛系数 |
| 修稿时间： | 2001年2月21日 |
ANALYSIS OF THE DYNAMIC BEHAVIORS OF VISCOELASTIC PIPE CONVEYING FLUID WITH THREE-PARAMETER SOLID MODEL |
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| Zhao Fengqun,Wang Zhongmin,Feng Zhenyu.ANALYSIS OF THE DYNAMIC BEHAVIORS OF VISCOELASTIC PIPE CONVEYING FLUID WITH THREE-PARAMETER SOLID MODEL[J].Acta Mechnica Solida Sinica,2002,23(4):483-489. |
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| Authors: | Zhao Fengqun Wang Zhongmin Feng Zhenyu |
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| Institution: | Zhao Fengqun 1 Wang Zhongmin 1 Feng Zhenyu 2 |
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| Abstract: | The governing equation of viscoelastic pipe conveying fluid with three-parameter solid model was derived. The dimensionless critical flow velocities and dimensionless critical self-excited complex frequencies of the pipe for the different dimensionless relaxation coefficients and the dimensionless elastic constant ratios were calculated. The curves between the complex frequencies of the first, second and third mode and the flow velocity of liquid were plotted. The numerical results show that mass ratio, dimensionless relaxation coefficient and dimensionless elastic constant ratio all have influence on the dynamic characteristics and stability of the viscoelastic pipe conveying fluid. |
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| Keywords: | viscoelastic pipe conveying fluid dynamic stability dimensionless elastic constant ratio dimensionless relaxation coefficient |
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