Cheng Shui-li, Tan Zhi-min. Defect and Improvement of Two-Time Expansion Method in Nonlinear Oscillations[J]. Applied Mathematics and Mechanics, 1989, 10(10): 871-880.
Citation: Cheng Shui-li, Tan Zhi-min. Defect and Improvement of Two-Time Expansion Method in Nonlinear Oscillations[J]. Applied Mathematics and Mechanics, 1989, 10(10): 871-880.

Defect and Improvement of Two-Time Expansion Method in Nonlinear Oscillations

  • Received Date: 1985-02-04
  • Publish Date: 1989-10-15
  • In this paper,the defect of the Two-Time Expansion method is indicated and an improvement of this method is suggested.Certain examples.in which the present method is used,are given.Moreover,the paper shows the equivalence of the improved Two-Time Expansion Method and the method of КВМ(Крылов-Воголюбов-Мигроцолъский)
  • loading
  • [1]
    包戈留包夫,Н.Н.Ю.А.米特罗波尔斯基,《非线性振动理论中的渐近方法》,金福监等译,上海科学出版社(1963).
    [2]
    Mickens,Ronald Elbert,An Introduction to Nonlinear Oscillation,Cambridge University Press,Cambridge(1981).
    [3]
    Nayfeh,A.H.and D.T.Mook,Nonlinear Oscillations,Wiley,New York(1979).
    [4]
    吴福光,蔡承武、徐兆,《振动理论》,下册,中山大学(1983).
    [5]
    郑兆昌主编,《机械振动》,机械工业出版社(1986).
    [6]
    江福汝,奇异摄动理论概述,《奇异摄动理论及其在力学中的应用》(钱伟长主编),科学出版社(1981).
    [7]
    Cole,J.D.and J.Kevorkian,Uniformly valid asymptotic approximations for certain nonlinear differential equations,Nonlinear Differential Equations and Nonlinear Mechanics,ed.by P.Joseph,La Salle and Solomon Lefschetz,Academic Press Inc.,New York(1963),113-120.
  • 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 (1607) PDF downloads(515) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return