梁 峰, 金基铎, 杨晓东, 闻邦椿. 弹性地基上输流管道的静态和动态稳定性研究[J]. 工程力学, 2010, 27(11): 166-171.
引用本文: 梁 峰, 金基铎, 杨晓东, 闻邦椿. 弹性地基上输流管道的静态和动态稳定性研究[J]. 工程力学, 2010, 27(11): 166-171.
LIANG Feng, JIN Ji-duo, YANG Xiao-dong. STATIC AND DYNAMIC STABILITIES OF FLUID PIPES ON ELASTIC FOUNDATION[J]. Engineering Mechanics, 2010, 27(11): 166-171.
Citation: LIANG Feng, JIN Ji-duo, YANG Xiao-dong. STATIC AND DYNAMIC STABILITIES OF FLUID PIPES ON ELASTIC FOUNDATION[J]. Engineering Mechanics, 2010, 27(11): 166-171.

弹性地基上输流管道的静态和动态稳定性研究

STATIC AND DYNAMIC STABILITIES OF FLUID PIPES ON ELASTIC FOUNDATION

  • 摘要: 研究了Pasternak双参数弹性地基上两端固定输流管道的静态和动态稳定性问题。利用复模态方法计算了系统的固有频率和临界流速,并应用平均法得到了脉动内流作用时管道的前两阶主参数共振和组合共振区域,讨论了地基的线性刚度、剪切刚度及一些管道参数对系统稳定性的影响。结果表明:改变两个地基刚度均可以影响系统的静态和动态稳定性,但剪切刚度的作用更显著,不能忽略;同时管道预紧力、流体介质与管道质量比、粘弹性系数和管内介质平均流速等管道参数也会对系统的稳定性产生一定的影响。

     

    Abstract: Static and dynamic stabilities of clamped-clamped fluid pipes are investigated. The pipes rest on Pasternak-type two-parameter elastic foundations. Applying the complex mode method, the natural frequencies and critical flow velocity are calculated. For the case of pulsating inner flow, regions of principal parametric resonances for the first two modes and the combination resonance are obtained using the averaging method. The contributions of the linear and sheer foundation rigidities as well as some pipe parameters on the stabilities of the system are discussed. The results demonstrate that the variation of foundation rigidities can influence both the static and dynamic stabilities, and the effect of the sheer rigidity is much greater than that of the linear rigidity and can’t be neglected; moreover, some pipe parameters such as tension force, mass ratio of fluid to pipe, viscoelastic coefficient and mean flow velocity have some impacts on the stabilities of the system.

     

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