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。
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 nondimensional 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.
出处
《机械工程学报》
EI
CAS
CSCD
北大核心
2005年第10期57-60,共4页
Journal of Mechanical Engineering
基金
陕西省教育厅专项科研计划资助项目(01JK202)。
关键词
动力稳定性
粘弹性输流管道
弹性地基
振荡流
Dynamic stability
Viscoelastic pipe conveying fluid
Elastic foundation
Pulsating fluid
