带有分支输流管道控制方程的参数变换

Parameters Transformation of Equation of Pipes Conveying Fluid with Branch Line

输流管道的非线性振动问题研究为当前学术界的热点课题,本文在研究带有分支管路输流管道并推导出其控制微分方程的基础上,进一步分析了与控制微分方程相关的各项参数之间的关系,为了更加方便地采用数学方法进行研究,对该方程应用无量纲化的方法进行了参数变换,从而将该物理方程的研究转换为计算数学问题,为后续Galerkin离散化及数值计算的进行提供了可能。

Non-linear vibration of pipes conveying fluid is a current hot topic in academia. In this paper, on the basis of derive the differential equations of pipes conveying fluid, relationship between the parameters governing differential equations was analyzed. In order to using mathematical methods easily, parameter transformation of the equation was done by non-dimensional method. Then the study of the physical equations was transferred to calculating mathematical problems and the Galerkin discretizatian and methods of numerical calculations was carried.