具有弹性支承输流管路的流体诱发振动分析

发布时间：2018-01-14 13:40

本文关键词：具有弹性支承输流管路的流体诱发振动分析　出处：《东北大学学报(自然科学版)》2016年08期 　论文类型：期刊论文

【摘要】：利用微分变换法分析具有弹性支承的悬臂式输流管路的流体诱发振动问题.首先对振动微分方程无量纲化,其次采用微分变换法获得各阶微分的递推关系,进而求解得到不计流速时的前四阶固有频率及振型函数的通用表达式.在此基础上,计算并得到了计及流速时固有频率随流速和弹性系数的变化,同时研究了不同弹性系数及质量比下的临界流速及稳定性.通过对比和分析,证实了微分变换法具有较高的精度和实用性.微分变换法可作为设计管路支承形式的参考.
[Abstract]:The differential transformation method is used to analyze the fluid-induced vibration of cantilever pipeline with elastic support. Firstly, the vibration differential equation is dimensionless, and then the recursion relation of each order differential is obtained by using the differential transformation method. Then the general expressions of the first four natural frequencies and mode functions without considering the velocity of velocity are obtained. On this basis, the variation of the natural frequency with the velocity of velocity and the elastic coefficient is calculated and obtained. At the same time, the critical velocity and stability under different elastic coefficient and mass ratio are studied. It is proved that the differential transformation method has high accuracy and practicability, and the differential transformation method can be used as a reference for designing the support form of pipes.
【作者单位】：东北大学机械工程与自动化学院;
【基金】：国家科技重大专项(2013ZX04011-011)
【分类号】：O302
【正文快照】： 输流管路在世界上的应用范围之广,历史之久使得与其相关的流固耦合振动问题在近百年来吸引了大量的科研工作者并发表了大量研究成果[1-3].具有弹性支承的悬臂式管路可作为许多实际应用场合(如车辆内部大部分管路系统)的近似模型,对这类模型的振动特性进行分析可以帮助设计人员

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