留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名
邮箱
手机号码
标题
留言内容
验证码

粘弹层合板的自由振动和横向应力

胡明勇 王安稳

胡明勇, 王安稳. 粘弹层合板的自由振动和横向应力[J]. 应用数学和力学, 2009, 30(1): 101-108.
引用本文: 胡明勇, 王安稳. 粘弹层合板的自由振动和横向应力[J]. 应用数学和力学, 2009, 30(1): 101-108.
HU Ming-yong, WANG An-wen. Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates[J]. Applied Mathematics and Mechanics, 2009, 30(1): 101-108.
Citation: HU Ming-yong, WANG An-wen. Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates[J]. Applied Mathematics and Mechanics, 2009, 30(1): 101-108.

粘弹层合板的自由振动和横向应力

基金项目: 国家自然科学基金资助项目(10572150)
详细信息
    作者简介:

    胡明勇(1977- ),男,博士生(联系人.E-mail:shuai.humingyong@163.com).

  • 中图分类号: O661.44

Free Vibration and Transverse Stresses of Viscoelastic Laminated Plates

  • 摘要: 基于Reddy分层理论并在板厚方向取二次位移插值函数来推导出粘弹层合板的动力学方程,得到了简支粘弹夹层层合板的振动频率,其数值与已知文献数据吻合较好,且能够计算出协调的横向应力.在低频自由振动时,横向剪应力是造成粘弹层合板脱层的主要原因;高频时,横向正应力在脱层破坏中起主要作用.分析了粘弹材料模量对层合板横向应力的影响以及横向应力最大值与面内应力最大值的比值.结果表明所采用的算法、算式及所编写的程序是可靠的.
  • [1] Bose P,Reddy J N.Analysis of composite plate using various plate theories, Part 1-Formulation and analytical solution[J].Structural Engineering and Mechanics,1998,6(6):583-612.
    [2] Reissner E.The effect of transverse shear deformations on the bending of elastic plates[J].Journal of Applied Mechanics,1945,12(2):69-77.
    [3] Mindlin R D.Influence of rotatory inertia and shear on flexural motion of isotropic elastic plates[J].Journal of Applied Mechanics,1951,18(1):31-38.
    [4] Awrejcewicz J,Krysko V A.3-D theory versus 2-D approximate theory of free orthotropic (isotropic) plate and shell vibrations,part1:derivation of governing equations[J].Journal of Sound and Vibration,1999,226(5):807-829. doi: 10.1006/jsvi.1999.2321
    [5] Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews,1994,47(6):147-169. doi: 10.1115/1.3111076
    [6] Reddy J N.A simple higher-order theory for laminated composite shells[J].Journal of Applied Mechanics,1984,51(12):745-752. doi: 10.1115/1.3167719
    [7] Reddy J N.A refined nonlinear theory of plates with transverse shear deformation[J].International Journal of Solids and Structures,1984,20(9):881-896. doi: 10.1016/0020-7683(84)90056-8
    [8] Reddy J N.A general non-linear third-order theory of plates with moderate thickness[J].International Journal of Non-Linear Mechanics,1990,25(4):677-686. doi: 10.1016/0020-7462(90)90006-U
    [9] Reddy J N.Mechanices of Laminated Composite Plates[M].New York:CRC-Press,1997.
    [10] Yand H T Y,Saigal S,Masud A,et al.A survey of recent shell finite elements[J].International Journal of Numerical Method in Engineering,2000,47(1):101-127. doi: 10.1002/(SICI)1097-0207(20000110/30)47:1/3<101::AID-NME763>3.0.CO;2-C
    [11] Hughes T J R,Tezduyar T E.Finite elements based upon mindlin plate theory with particular reference to the four node bilinear isoparametric element[J].Journal of Applied Mechanics,1981,48(10):587-596. doi: 10.1115/1.3157679
    [12] Xiao C Z,Lin D X,Ju F.Finite element analysis of modal parameters on anisotropic laminated plates[J].Journal of Vibration, Acoustics Stress and Reliability in Design,1988,110(4):473-477. doi: 10.1115/1.3269553
    [13] Reddy J N.Theories and computational models for composite laminate[J].Applied Mechanics Reviews,1994,47(6):147-169. doi: 10.1115/1.3111076
    [14] Cupial P,Niziol J.Vibration and damping analysis of a three-layered composite plate with a viscoelastic mid-layer[J].Journal of Sound and Vibration,1995,183(1):99-114. doi: 10.1006/jsvi.1995.0241
  • 加载中
计量
  • 文章访问数:  2910
  • HTML全文浏览量:  149
  • PDF下载量:  437
  • 被引次数: 0
出版历程
  • 收稿日期:  2007-11-21
  • 修回日期:  2008-10-31
  • 刊出日期:  2009-01-15

目录

    /

    返回文章
    返回