Sheng Hongyu, Fan Jiarang. Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load[J]. Applied Mathematics and Mechanics, 2000, (1): 87-93.
Citation: Sheng Hongyu, Fan Jiarang. Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load[J]. Applied Mathematics and Mechanics, 2000, (1): 87-93.

Axisymmetric Bending for Thick Laminated Circular Plate Under a Concentrated Load

  • Received Date: 1998-06-02
  • Rev Recd Date: 1999-08-16
  • Publish Date: 2000-01-15
  • Based upon the fundamental equations of three dimensional elasticity,the state equation for axisymmetric bending of laminated transversely isotropic circular plate is established and the concentrated force on plate surface is expanded into Fourier-Bessel's series,therefore,an analytical solution for the problem is presented.Every fundamental equation of three dimensional elasticity can be exactly satisfied by the solution and all the independent elastic constants can be taken into account fully,furthermore,the continuity conditions between plies can also be satisfied.
  • loading
  • [1]
    Timoshenko S,Woinowsky-Krieger S.Theory of Plates and Shells[M].Second edition,NewYork:Mc Graw-Hill Book Company,Inc,1959.
    [2]
    Reissner E.The effect of transverse shear deformation on the bending of elastic plates[J].JApplMech,1945,12(1):69~77.
    [3]
    Reddy JN.Asimple higher-ordertheory forlaminated composite plates[J].JAppl Mech,1984,51(4):745~752.
    [4]
    Yeh Kaiyuan,Zhang Xiaojing,Zhou Youhe.An analytical formula of the exact solution to VonKarman's equations of a circular plate under a concentrated load[J].IntJNon-Linear Mech,1989,24(6):551~560.
    [5]
    Nath Y.Large amplitude response of circular plates on elastic foundations[J].Int J Non-LinearMech,1982,17(4):285~296.
    [6]
    Prathap G,Varadan T K.Axisym metric vibrations of polar or thotropic circular plates[J].AIAA J,1976,14(11):1639~1646.
    [7]
    Reddy JN,Huang CL,Singh IR.Large deflections and large amplitude vibrations of axisym metriccircular plates[J].Int J Numer Methods Engrg,1981,17(4):527~541.
    [8]
    范家让.强厚度叠层板壳的精确理论[M].北京:科学出版社,1996.
    [9]
    盛宏玉,范家让.非平面应变状态下的叠层厚壁筒[J].应用力学学报,1997,14(2):64~71.
  • 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 (2134) PDF downloads(892) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return