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.
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
关键词
输流管道
线性矩阵
模态频率
内共振
pipes conveying fluid
linear matrix
mode frequency
internal resonance