具有弹性支承输流管路的振动分析  

Vibration Analysis of Fluid Conveying Pipe with Elastic Support

作　　者：赵千里[1] 孙志礼[1] 柴小冬[1] 

机构地区：[1]东北大学机械工程与自动化学院,沈阳110819

出　　处：《振动．测试与诊断》2017年第6期1222-1226,共5页Journal of Vibration,Measurement & Diagnosis

基　　金：国家科技重大专项课题资助项目(2013ZX04011-011)

摘　　要：为研究截面内流速不均以及弹性支承对输流管路振动问题的影响,利用伽辽金法对考虑了流动模型修正因子的具有弹性支承的两端固定式输流管路的振动微分方程进行了推导,得到了一般形式下输流管路强迫振动稳态响应的表达式。结果发现:流动形式为层流时管路的固有频率和临界流速均小于理想流动模型(平推流模型)的值;前者的发散临界流速比后者小约13.4%,与理论结果一致;固有频率随弹簧安置位置的增加而呈现振荡的变化,但始终大于无弹性支承时的值。该方法可作为设计支承形式的基础,可以推广用来研究其他类型管路的振动问题,并为设计人员提供精确的计算结果。To study the effects of modification factor and elastic support on the vibration problem,Galerkin′s method is utilized to derive the governing equation of the modified clamped-clamped pipe with elastic support,and a general expression for forced vibration is obtained finally.It is found that natural frequency under laminar flow model is less than that under ideal model(plug flow);critical divergence velocity of the former model is lower of 13.4 percent than that of the latter one,according well with theory;natural frequency oscillates as the implementation position of the spring,but will never exceed that without spring.The proposed method can be treated as the basis when designing supports,it can be radiated to study vibration problems of other types of pipes and provide accurate results for designers.

关 键 词：伽辽金法 自由振动 强迫振动 输流管路 流动模型修正因子 

分 类 号：TH137[机械工程—机械制造及自动化] O327[理学—一般力学与力学基础]