两端支承输流管道内共振条件分析  

Internal resonance conditions of supported pipes conveying fluid

作　　者：马斌[1] 金基铎[1] 张艳雷[1] 

机构地区：[1]沈阳航空工业学院航空宇航工程学院,辽宁沈阳110136

出　　处：《沈阳航空工业学院学报》2009年第3期22-25,36,共5页Journal of Shenyang Institute of Aeronautical Engineering

摘　　要：讨论了两端支承输流管道发生内共振的条件。考虑管道变形的非线性因素,建立了两端简支的输流管道,当简支端简谐运动时的非线性运动方程。通过对其线性部分系数矩阵的分析,发现系统发生几种内共振时流速uo与质量比mt的关系。从理论上解释了流速诱发两端支承输流管道内共振的机理。In this paper we discuss the conditions of an internal resonance occurred in supported pipes conveying fluid. Considering the additional axial force due to pipe＇s lateral motion , we derive the system motion nonlinear differential equation. And we can create a matrix of the equation＇s linear part. After matrix analysis , we find the relationship between flow velocity and ratio of mass . The mechanism of flow - induced internal resonances in the pipe is explained theoretically.

关 键 词：输流管道 线性矩阵 模态频率 内共振 

分 类 号：O322[理学—一般力学与力学基础]