| 黄建红,郭长青,许锋.双参数地基上分布随从力作用下输流管道的稳定性[J].南华大学学报(自然科学版),2014,28(2):103~108.[HUANG Jian-hong,GUO Chang-qing,XU Feng.Stability of Pipes Conveying Fluid with Distributed Follower Force on Two-parameter Foundation[J].Journal of University of South China(Science and Technology),2014,28(2):103~108.] |
| 双参数地基上分布随从力作用下输流管道的稳定性 |
| Stability of Pipes Conveying Fluid with Distributed Follower Force on Two-parameter Foundation |
| 投稿时间：2013-11-04 |
| DOI： |
| 中文关键词: 双参数地基 分布随从力 输流管道 稳定性 |
| 英文关键词:two-parameter elastic foundation distributed follower force fluid-conveying pipe stability |
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| 中文摘要: |
| 研究了Pasternak双参数地基模型基础上分布随从力作用下的两端固支输流管道的稳定性.建立了管道运动微分方程,并采用传递矩阵法对无量纲方程进行求解.通过研究双参数地基上输流管道的临界流速和复频率变化,分析了在四种不同地基刚度组合下,分布随从力、流速等对系统稳定性的影响.数值计算表明:地基刚度不变时,不同分布随从力和流速作用下系统的稳定性有很大的差别;在随从力和流速相同的情况下,地基刚度对系统稳定性有很大影响,且其中的剪切刚度比线性刚度的影响更加显著. |
| 英文摘要: |
| Stability of clamped pipes conveying fluid with distributed follower force on Pasternak two- parameter foundation is studied.The differential equation of the pipe movement is established,and transfer matrix method is employed for solving the dimensionless equation.Based on the critical flow velocity and the variation of the complex frequency,the influences of the distributed follower force and the flow velocity on the stability of pipes conveying fluid on two-parameter foundation are analyzed for four foundation stiffness combinations.Numerical calculation shows that:the stability of the system with the same foundation stiffness varies greatly for different distributed follower forces and different flow velocities;the foundation stiffness has great effects on the stability of the system with the same fluid velocity and the same distributed follower force,and the effects of the shear stiffness is greater than the linear stiffness. |
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