摘要
为了解决带有分支输流管道非线性振动状态的数字化描述问题,本文在建立输流管道无量纲运动微分方程的基础上,采用Galerkin离散化方法对管道运动微分方程进行了降阶离散化处理。该方法以n阶试函数为基础并进行加权消残后得到了其振型函数,由于充分考虑到了振型函数的正交性,复杂的高阶运动微分方程得以降阶并保持了足够的精确度,从而为应用计算机软件求解控制方程进而描述输流管道的非线性振动状态提供了必要的前提条件。
Abstract： To solve the problem in digital description of nonlinear vibration for the pipes conveying fluid with vertical branch, Galerkin discretization method was used to discretize and reduce the order of the differential equation for the pipes conveying fluid based on the established dimensionless motion differential equation of the pipeline. The Galerkin method was based on the N order trial function. Its vibration mode functions were obtained by weighted residual elimination. The order of complex differential equation was reduced to keep sufficient accuracy by full consideration of orthogonality. The necessary prerequisite was provided for the application of computer software to solve the equations and describe the nonlinear vibration state of the pipeline conveying fluid. Key words： pipes conveying fluid; vertical branch; discretization; nonlinear vibration
出处
《北华航天工业学院学报》
CAS
2013年第3期11-12,共2页
Journal of North China Institute of Aerospace Engineering
基金
北华航天工业学院科研基金项目(KY-2011-13)
关键词
输流管道
分支
离散化
非线性振动
pipes conveying fluid
vertical branch
discretization
nonlinear vibration
