Jin Bo. Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space[J]. Applied Mathematics and Mechanics, 1998, 19(2): 145-150.
Citation: Jin Bo. Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space[J]. Applied Mathematics and Mechanics, 1998, 19(2): 145-150.

Using Fredholm Integral Equation of the Second Kind to Solve the Vertical Vibration of Elastic Plate on an Elastic Half Space

  • Received Date: 1996-04-26
  • Publish Date: 1998-02-15
  • The dual integral equations of vertical forced vibration of elastic plate on an elastic half space subject to harmonic uniform distribution loading are established according to the mixed boundary-value condition.By applying Abel transformation the dual integral equations are reduced to Fredholm integral equation of the second kind which is solved numerically.
  • loading
  • [1]
    I.A.Robertson.Forced vertical vibration of a rigid circular disk on a semi-infinite elastic solid.Proc.Camb.Phil.Soc.,62.3(1966).547-533.
    [2]
    Y.J.Lin.Dynamic response of circular plates resting on viscoelastic halt space,ASME,J.Appl.Meth.45.2(1978),379-384.
    [3]
    M.Iguchi and J.E.Luco,Vibration of flexible plate on viseoelastic medium.ASCE,J.Eng.Mech.108.6(1982),1103-1120.
    [4]
    金波,层状地基及其动力基础的计算,浙江大学博士学位论文(1994).50-52.(in Chinese).
    [5]
    G.M.L.Gladwell.著,范天佑译,经典弹性理论中的接触问题,北京: 北京理工大学出版社(1991),186-194.
  • 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 (2330) PDF downloads(638) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return