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

正交各向异性旋转扁壳的非线性振动*

李东

李东. 正交各向异性旋转扁壳的非线性振动*[J]. 应用数学和力学, 1992, 13(4): 313-325.
引用本文: 李东. 正交各向异性旋转扁壳的非线性振动*[J]. 应用数学和力学, 1992, 13(4): 313-325.
Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325.
Citation: Li Dong. Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution[J]. Applied Mathematics and Mechanics, 1992, 13(4): 313-325.

正交各向异性旋转扁壳的非线性振动*

基金项目: * 国家自然科学基金资助的课题

Nonlinear Vibrations of Orthotropic Shallow Shells of Revolution

  • 摘要: 本文提出一种时间模态假设,由此导出描述圆柱正交各向异性薄扁球壳和锥壳非线性轴对称自由振动的非线性耦合的代数和微分特征值方程组.我们求出了该方程组的近似解析解,并获得壳体振动的幅频响应关系的渐近展开式.文中还讨论了壳体的几何及材料参量对其振动性态的影响.
  • [1] Reissner,E.,On the vibrations of shallow spherical shells,J.Appl.Phys.,17(1946),1038.
    [2] Reissner,E.,On axisymmetrical vibrations of shallow spherical shells,Q.Appl.Math.,13(1955),279.
    [3] Evensen,H.A.,et al.,Dynamic response and stability of shallow spherical shells subject to time-dependent loading,AIAA J.,5(1967),969.
    [4] Singh,P.N.,et al.,Large amplitude axisymmetric vibrations of moderately thick spherical caps,J.Sound Vib.,20,3(1972),269.
    [5] Ramachandran,J.,Vibration of shallow spherical shells at large amplitudes,J.Appl.Mech.,41(1974),811.
    [6] Berger,H.M.,A new approach to the analysis of large deflection of plates,J.Appl.Mech.,22(1955),465.
    [7] Ramachandran,J.,Large amplitude vibrations of shallow spherical shell with concentrated mass,J.Appi.,Mech.,43(1976),363.
    [8] Bucco,D.,et al.,The dynamic analysis of shallow spherical shells,J.Appl.Mech.,45(1978),690.
    [9] Yasude,K.,et al.,Nonlinear forced oscillations of a shallow spherical shell,Bull.JSME,27(1985),2233.
    [10] Dumir,P.C.,Nonlinear axisymmetric response of orthotropic thin truncated conical and spherical caps,Acta Mechanica,6O(1986),121.
    [11] Sinharay,G.C.,et al.,Large amplitude free vibrations of shallow spherical shell and cylindrical shell-a new approach,Int.J.Non-Linear Mech.,20(1985),69.
    [12] Nayfeh,A.H.and D.T.Mook,Nonlinear Oscillations,John Wiley & Sons Inc.,New York(1979),3.
    [13] Li,D.and R.H.Liu,Nonlinear vibration of thin circular plates,Adv.Appl.Math.Mech.China,Ed.by Prof.,W.Z.Chien,Internationai Academic Publishers,3(1990).
    [14] 李东,刘人怀,修正迭代法在波纹圆板非线性振动问题中的应用,应用数学和力学,11(1)(1990),73.
    [15] 李东,环形薄板的大幅度振动,应用数学和力学.12(6)(1991),547-556.
    [16] 李东.波纹环形板的非线性振动,上海工业大学学报,12(1991);On the nonlinear vibration of corrugated annular plates,Int,J,Non-Linear Mech,26(1991).
  • 加载中
计量
  • 文章访问数:  1824
  • HTML全文浏览量:  22
  • PDF下载量:  645
  • 被引次数: 0
出版历程
  • 收稿日期:  1991-03-04
  • 刊出日期:  1992-04-15

目录

    /

    返回文章
    返回