Yang Zheng-wen, Yang Ting-qing. An Equation of Motion for a Thick Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 1992, 13(5): 459-467.
Citation: Yang Zheng-wen, Yang Ting-qing. An Equation of Motion for a Thick Viscoelastic Plate[J]. Applied Mathematics and Mechanics, 1992, 13(5): 459-467.

An Equation of Motion for a Thick Viscoelastic Plate

  • Received Date: 1991-05-11
  • Publish Date: 1992-05-15
  • In this paper an equation of motion is presented for a general thick viscoelastic plate, including the effects of shear deformation, extrusion deformation and rotatory inertia.This equation is the generalization of equations of motion for the corresponding thick elastic plate, and it can be degenerated into several types of equations for various special cases.
  • loading
  • [1]
    Reissner,E.,The effect of transverse shear deformation on the bending of elastic plates,J.Appl.Mech.,12 (1945),69-77.
    [2]
    Mindlin,R.D.,Influence ofrotatory inertia and shear on flexural motions of isotropic elastic plates,J.Appl.Mech.,18 (1951),31-38.
    [3]
    胡海昌,各向同性夹层板反对称小挠度的若干问题,力学学报,(6)(1963),53-60
    [4]
    曹志远、杨异田,《厚板动力学理论及其应用》,科学出版社(1983).
    [5]
    Radovskii,B.S.,Application of the calculation scheme for a layered viscoelastic medium to the estimation of the stressed state of highways and airport pavements with moving loads,Soviet Appl.Mech.,15,10 (1979),940-946.
    [6]
    Hewitt,J.S.and J.Mazumdar,Vibration of viscoelastic plates under transverse load by the method of constant deflection contours,J.Sound Vib.,33,3 (1974),319-333.
    [7]
    Robertson,S.R.,Solving the problem of forced motion of viscoelastic plates by Valanis' method with an application to a circular plate,J.Sound Vib.,14,3 (1971),263-278.
    [8]
    杨挺青等,粘弹性基支薄板的准静态弯曲,华中工学院学报,15(1987),1-6
    [9]
    Mase,G.E.,Behavior of viscoelastic plates inbending,J.Engng Mech.Div.ASCE,86,EM3 (1960),25-39.
    [10]
    Pan,H,H.,Vibration of viscoelastic plates,J.de Mecanique,5,3 (1966),355-374.
    [11]
    Nagaya,K.,Dynamics of viscoelastic plate with curved boundaries of arbitrary shape,J.Appl.Mech.,45 (1978),629-635.
    [12]
    Pister,K.S.,Viscoelastic plate on a viscoelastic foundation,J.Engng.Mech.Div.ASCE,87,EM1(1961),43-54.
    [13]
    Srinivas,S.and A.K.Rao,Flexure of thick rectangular viscoelastic plates,J.Engng Mech.Div.ASCE,98,EM3,(1972),771-776.
    [14]
    Kobayashi,H.and K.Sonoda,Thick circular plates on linear viscoelastic foundations,Proc.31rd Japan National Congress for Appl.Mech.,Tokyo,Theo.& Appl.Mech.,81,Nov.(1981),153-164.
    [15]
    Gurtin,M.E.and E.Sternberg,On the linear theory of viscoelasticity,Arch.Rational Mech.Anal.,11 (1962),291-356.
    [16]
    Власов Б.Ф.,Об уравнениях теории изгиба пластинок,Изэ.АН СССР.ОТН,12(1957),57-60
  • 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 (1772) PDF downloads(509) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return