粘弹性厚板的动力方程

杨正文; 杨挺青

粘弹性厚板的动力方程

华中理工大学力学系

基金项目: * 国家自然科学基金资助项目

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出版历程
- 收稿日期: 1991-05-11
- 刊出日期: 1992-05-15

An Equation of Motion for a Thick Viscoelastic Plate

Huazhong University of Science and Technology, Wuhan

摘要

摘要: 本文导出了一般粘弹性厚板含剪切、挤压和转动惯性效应的动力方程,它是弹性厚板动力方程的推广.据此方程还可退化得到若干种类型的中厚度粘弹性板的动力方程.
- 粘弹性 /
- 厚板 /
- 动力方程
Abstract: 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.
- viscoelastic /
- thick plate /
- equation of motion

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参考文献(16)

[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