Gu Qing-fang, Tang Da-qing. The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration[J]. Applied Mathematics and Mechanics, 1994, 15(3): 273-282.
Citation: Gu Qing-fang, Tang Da-qing. The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration[J]. Applied Mathematics and Mechanics, 1994, 15(3): 273-282.

The Existnece of Periodic Solution of the Fourth Ordinary Non-Linear Differential Equation Caused by Flow-induced Vibration

  • Received Date: 1992-05-04
  • Publish Date: 1994-03-15
  • The vortex-induced vibration is a well-known problem in mechanics,In this paper,with the help fixed point principle, we study. this problem and find the existencecondition of the periodic solution as well as the region of parameters.
  • loading
  • [1]
    李正元、钱敏,向量场的旋转度理论及其应用,北京大学出版社(1982).
    [2]
    赵晓强,非自治系统的周期解,应用数学学报,11(1)(1988),30-39.
    [3]
    Lazer,A,C,On Schauder's fined point theorem and freed second-order nonlinear oscillations,J,Math Anal Appl.,21,421-425.
    [4]
    Robert D,Bleoins,Flow-induced vibration,van Nostrand Reinhoid company.
    [5]
    秦元勋,一个关于周期轨道存在的定理,北京大学学报(自然科学)1,(1979),1-20.
    [6]
    Smith,R,A,Existence of Pericdic orbits of autonomous ordinary differential eqvaticns,Proc R,Soc,Edinb,85A(1980),153-172,
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views (1459) PDF downloads(550) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return