• CN:11-2187/TH
  • ISSN:0577-6686

›› 2005, Vol. 41 ›› Issue (10): 57-60.

• 论文 • 上一篇    下一篇

弹性地基上输送振荡流粘弹性管道的动力稳定性

王忠民;张战午;李会侠   

  1. 西安理工大学理学院
  • 发布日期:2005-10-15

DYNAMIC STABILITY OF VISCOELASTIC PIPES ONVEYING PULSATING FLUID ON THE ELASTIC FOUNDATION

Wang Zhongmin;Zhang Zhanwu;Li Huixia   

  1. Institute of Natural Science, Xi’an University of Technology
  • Published:2005-10-15

摘要: 基于线粘弹性理论,建立了弹性地基上输送振荡流粘弹性管道的运动微分方程,采用Galerkin法和解初值问题的Runge-Kutta法对含有周期系数的偏微分方程进行了求解。根据Floquet理论,研究了材料的量纲一延滞时间、量纲一流速以及量纲一刚度比对输送振荡流Kelvin-Voigt粘弹性管道动力不稳定区域的影响,给出了在这些参数变化时,频率比与激励参数平面上管道的动力稳定性区域和不稳定区域。

关键词: 弹性地基, 动力稳定性, 粘弹性输流管道, 振荡流

Abstract: Based on the linear viscoelastic theory, the differential equation of motion for viscoelastic pipe conveying pulsating fluid on the elastic foundation is derived. The partial differential equation with periodic coefficients is solved by the Galerkin method and Runge-Kutta method for solving the initial problems. Using the Floquet’s theory, the effect of non- dimensional delaying time of pipe material, non-dimensional fluid velocity and non-dimensional stiffness ratio of the elastic foundation coefficient to the flexural rigidity of the pipe on dynamic instability regions of Kelvin viscoelastic pipes conveying pulsating fluid on elastic foundation is analyzed. The dynamic stability regions and instability regions in parametric plane consisting of frequent ratio and exciting parameter are obtained for the variation of three parameters.

Key words: Dynamic stability, Elastic foundation, Pulsating fluid, Viscoelastic pipe conveying fluid

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