东北大学学报（自然科学版）

东北大学学报:自然科学版 ›› 2016, Vol. 37 ›› Issue (8): 1122-1126.DOI: 10.12068/j.issn.1005-3026.2016.08.013

• 机械工程 • 上一篇    下一篇

具有弹性支承输流管路的流体诱发振动分析

赵千里， 孙志礼， 柴小冬， 佟操   

  1. (东北大学 机械工程与自动化学院， 辽宁 沈阳110819)
  • 收稿日期:2015-05-12 修回日期:2015-05-12 出版日期:2016-08-15 发布日期:2016-08-12
  • 通讯作者: 赵千里
  • 作者简介:赵千里(1989-)，男，江苏常州人，东北大学博士研究生； 孙志礼(1957-)，男，山东巨野人，东北大学教授，博士生导师.
  • 基金资助:
    国家科技重大专项(2013ZX04011-011).

Analysis of Flow-induced Vibration of Fluid Conveying Pipe with Elastic Support

ZHAO Qian-li， SUN Zhi-li， CHAI Xiao-dong， TONG Cao   

  1. School of Mechanical Engineering & Automation， Northeastern University， Shenyang 110819， China.
  • Received:2015-05-12 Revised:2015-05-12 Online:2016-08-15 Published:2016-08-12
  • Contact: ZHAO Qian-li
  • About author:-
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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.

关键词: 输流管路, 流固耦合振动, 微分变换法, 弹性支承, 稳定性

Abstract: The flow-induced vibration of cantilevered fluid-conveying pipes with elastic support was analyzed by differential transformation method (DTM). Firstly， the motion equation was non-dimensionalized， then， the recurrence relation among each derivative was derived by DTM. Furthermore， the former four dimensionless frequencies and the general expression for mode shapes were obtained without consideration of fluid flow. On this basis， the relationship between frequency and flow velocity， elastic coefficient was worked out， and the critical velocity and stability condition were investigated simultaneously. DTM was verified to be of high accuracy and practicability by comparison and analysis. Besides， DTM could be referred when support format for pipes are designed.

Key words: fluid conveying pipe, fluid-structure interaction vibration, differential transformation method, elastic support, stability

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