输流粘弹性曲管的稳定性分析

王忠民; 张战午; 赵凤群

输流粘弹性曲管的稳定性分析

西安理工大学理学院,西安 710048

基金项目: 陕西省教育厅专项科研计划资助项目(03JK069)

详细信息

作者简介:
王忠民(1957- ),男,陕西华县人,教授,博士生导师,博士(联系人.E-mail:wangzhongm@xaut.edu.cn).

中图分类号: O353
计量
- 文章访问数: 2403
- HTML全文浏览量: 133
- PDF下载量: 477
- 被引次数: 0
出版历程
- 收稿日期: 2003-11-21
- 修回日期: 2005-02-22
- 刊出日期: 2005-06-15

Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid

School of Sciences, Xi'an University of Technology, Xi'an 710048, P. R. China

摘要

摘要: 根据变质量弹性系统Hamilton原理，用变分法建立了输流粘弹性曲管的运动微分方程，并用归一化幂级数法导出了输流粘弹性曲管的复特征方程组．以两端固支Kelvin-Voigt模型粘弹性输流圆管为例，分析了无量纲延滞时间和质量比对输流管道无量纲复频率和无量纲流速之间的变化关系的影响．在无量纲延滞时间较大时，粘弹性输流圆管的特点是它的第1、2、3阶模态不再耦合，而是在第1、第2阶上先发散失稳，然后在1阶模态上再发生单一模态颤振．
- 动力稳定性 /
- 输流曲管 /
- Kelvin-Voigt模型 /
- 幂级数法
Abstract: Based on the Hamilton's principle for elastic systems of changing mass,a differential equation of motion for viscoelastic curved pipes conveying fluid was derived using variational method,and the complex characteristic equation for the viscoelastic circular pipe conveying fluid was obtained by normalized power series method.The effects of dimensionless delay time on the variation relationship between dimensionless complex frequency of the clamped-clamped viscoelastic circular pipe conveying fluid with the Kelvin-Voigt model and dimensionless flow velocity were analyzed.For greater dimensionless delay time,the behavior of the viscoelastic pipe is that the first,second and third mode does not couple,while the pipe behaves divergent instability in the first and second order mode,then single-mode flutter takes place in the first order mode.
- dynamic stability /
- viscoelastic circular pipe conveying fluid /
- Kelvin-Voigt model /
- power series method

HTML全文

参考文献(10)

[1]	Chen S S. Flow induced in-plane instabilities of curved pipes[J].Nuclear Engineering and Design,1972,23(1): 29—38. doi: 10.1016/0029-5493(72)90189-6
[2]	Chen S S. Out-of-plane vibration and stability of curved tubes conveying fluid[J].Journal of Applied Mechanics, ASME,1973,40(2):362—368. doi: 10.1115/1.3422988
[3]	Misra A K, Paidoussis M P, Van K S. On the dynamics of curved pipes transporting fluid—PartⅠ:Inextensible theory[J].Journal of Fluids and Structures,1988,2(3):221—244. doi: 10.1016/S0889-9746(88)80009-4
[4]	Aithal R, Steven Gipson G. Instability of damped curved pipes[J].Journal of Applied Mechanics, ASME,1993,116(1):77—90.
[5]	魏发远,黄玉盈,任志良,等.分析输液曲管临界流速的迁移矩阵法[J].固体力学学报, 2000,21(1)：33—39.
[6]	倪樵, 张惠兰, 黄玉盈,等.DQ法用于具有弹性支承半圆形输液曲管的稳定性分析[J].工程力学,2000,17(6)：59—64.
[7]	WANG Zhong-min,ZHAO Feng-qun,FENG Zhen-yu,et al.The dynamic behaviors of viscoelastic pipes conveying fluid with the Kelvin model[J].Acta Mechanica Solid Sinica,2000,13(3):262—270.
[8]	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.
[9]	Mclver D B. Hamilton's principle for systems of changing mass[J].Journal of Engineering Mathematics,1973,7(3)：249—261. doi: 10.1007/BF01535286
[10]	杨挺青.粘弹性力学[M].武汉: 华中理工大学出版社, 1990:12—27.