弹性支承管道在脉动内流下的稳定性分析  

Stability of elastically supported pipes conveying pulsating fluid

作　　者：齐忠华[1] 杨天智[2] 

机构地区：[1]鞍山师范学院高等职业技术学院,辽宁鞍山114016 [2]哈尔滨工业大学航天学院,黑龙江哈尔滨150001

出　　处：《辽宁工程技术大学学报（自然科学版）》2008年第3期362-364,共3页Journal of Liaoning Technical University (Natural Science)

基　　金：辽宁省教育厅基金资助项目(1-08)

摘　　要：为研究工程实际中的管道动力特性,考虑了一端固定、一端弹性支承的管道在脉动内流下的稳定性问题。依据牛顿第二定律,建立了管道的横向振动方程,并对其进行无量钢化处理.在确定了边界条件以后,用多尺度法进行了稳定性分析。推导出了该种弹性支承边界的复模态函数并得到了可解性条件,利用该条件推导了组合共振的失稳区域的解析表达式。用数值方法验证了理论分析分析的正确性。结果表明,管道系统的固有频率随液体流速的平均值的增加而下降,液体脉动幅值的增加使失稳区域扩大。In this paper, the dynamic character of pipes conveying fluid with elastic supported boundary condition in engineering is investigated. The motion equation governing the transverse vibration of the pipes is derived from the Newton＇s Second Law. After taking the dimensionless procedure, the stability is investigated using multi-scale method for pulsating flows. The mode and solvability conditions under this boundary condition are derived. According to the conditions, the combination resonance is investigated in detail. Numerical results show that the nature frequencies decrease by increasing the mean velocity of fluid. The increase of fluctuating amplitude enlarges the instability regions.

关 键 词：弹性支承 管道 脉动流 稳定性 多尺度法 

分 类 号：O322[理学—一般力学与力学基础]