WANG Qi-shen, WANG Da-jun. Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J]. Applied Mathematics and Mechanics, 2006, 27(3): 351-356.
Citation: WANG Qi-shen, WANG Da-jun. Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices[J]. Applied Mathematics and Mechanics, 2006, 27(3): 351-356.

Difference Discrete System of the Euler-Beam With Arbitrary Supports and Sign-Oscillatory Property of Stiffness Matrices

  • Received Date: 2004-03-26
  • Rev Recd Date: 2005-09-12
  • Publish Date: 2006-03-15
  • The difference discrete system of Euler beam with arbitrary supports was constructed by using the two order central difference formulas.This system is equivalent to the spring-mass point-rigid rod model.By using the theory about oscillatory matrix,the sign-oscillatory property of stiffness matrices of this system was proved,and necessary and sufficient condition for the system to be positive is obtained completely.
  • loading
  • [1]
    Гантмахер Ф Р,Крейн М Г.Осцилляцонные Матрицы и Ядра и Малые Колебания Механических Систем[M].Москва: Государственное Издательство Технико-Теоретической Литературы,1950,90—170.
    [2]
    Gladwell G M L.Inverse Problems in Vibrating[M].Boston: Martinus Nijhoff Publishers,1986,23—26,219—225.
    [3]
    Gladwell G M L.Qualitative properties of vibration systems[J].Proc Roy Soc London,Ser A,1985,401:299—315. doi: 10.1098/rspa.1985.0100
    [4]
    何北昌,王大钧,王其申. Euler梁有限差分模型的振动逆问题[J].振动工程学报,1989,2(2):1—9.
    [5]
    王其申,何北昌,王大钧.Euler梁的模态和频谱的一些定性性质[J].振动工程学报,1990,3(4):58—66.
    [6]
    WANG Da-jun,Chon C S,WANG Qi-shen.Qualitative properties of frequencies and modes of beams modeled by discrete systems[J].The Chinese J of Mechanics,Series A,2003,19(1):169—175.
  • 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 (3013) PDF downloads(675) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return