On exact analysis of free vibrations of embedded transversely isotropic cylindrical shells

被引：14
|
作者：
Chen, WQ [1 ]
Ding, HJ [1 ]
Xu, RQ [1 ]
机构：
[1] Zhejiang Univ, Dept Civil Engn, Hangzhou 310027, Peoples R China
来源：
INTERNATIONAL JOURNAL OF PRESSURE VESSELS AND PIPING | 1998年 / 75卷 / 13期
关键词：
transversely isotropic elasticity; cylindrical shell; Pasternak model; free vibration;
D O I：
10.1016/S0308-0161(98)00060-X
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
This paper exactly studies the coupled free vibration of a transversely isotropic cylindrical shell embedded in an elastic medium. Response of the elastic medium is represented by Winkler/Pasternak models while the behavior of the cylindrical shell is analyzed based on the three dimensional elasticity. Three displacement functions are chosen to represent three displacement components to decouple the three-dimensional equations of motion of a transversely isotropic body. After expanding these functions with orthogonal series, the coupled free vibration problem of an embedded transversely isotropic shell with ends simply-supported can be readily dealt with. In particular, Bessel function solution which includes complex arguments is directly used for the case of complex eigenvalues. Numerical examples are presented and compared to the results of existent papers. (C) 1998 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：961 / 966
页数：6
相关论文
共 50 条
  • [41] Thermoelastic vibrations of inhomogeneous anisotropic cylindrical shells
    M. M. Nykolyshyn
    U. V. Zhydyk
    Materials Science, 2008, 44 : 183 - 193
  • [42] An experimental study of the vibrations of cylindrical shells with holes
    Kairov A.S.
    Journal of Mathematical Sciences, 1998, 90 (1) : 1879 - 1882
  • [43] Thermoelastic vibrations of inhomogeneous anisotropic cylindrical shells
    Nykolyshyn, M. M.
    Zhydyk, U. V.
    MATERIALS SCIENCE, 2008, 44 (02) : 183 - 193
  • [44] On Multimode Nonlinear Vibrations of Filled Cylindrical Shells
    V. D. Kubenko
    P. S. Koval'chuk
    L. A. Kruk
    International Applied Mechanics, 2003, 39 : 85 - 92
  • [45] An exact analytical approach for in-plane and out-of-plane free vibration analysis of thick laminated transversely isotropic plates
    Sh. Hosseini Hashemi
    S. R. Atashipour
    M. Fadaee
    Archive of Applied Mechanics, 2012, 82 : 677 - 698
  • [46] On multimode nonlinear vibrations of filled cylindrical shells
    Kubenko, VD
    Koval'chuk, PS
    Kruk, LA
    INTERNATIONAL APPLIED MECHANICS, 2003, 39 (01) : 85 - 92
  • [47] On free nonlinear vibrations of fluid-filled cylindrical shells with multiple natural frequencies
    Kubenko, VD
    Koval'chuk, PS
    Kruk, LA
    INTERNATIONAL APPLIED MECHANICS, 2005, 41 (10) : 1193 - 1203
  • [48] On the free vibrations of joined grid-stiffened composite conical-cylindrical shells
    Zarei, M.
    Rahimi, G. H.
    Hemmatnezhad, M.
    THIN-WALLED STRUCTURES, 2021, 161
  • [49] On Free Nonlinear Vibrations of Fluid-Filled Cylindrical Shells with Multiple Natural Frequencies
    V. D. Kubenko
    P. S. Koval'chuk
    L. A. Kruk
    International Applied Mechanics, 2005, 41 : 1193 - 1203
  • [50] On one approach to studying free vibrations of cylindrical shells of variable thickness in the circumferential direction within a refined statement
    Grigorenko A.Y.
    Efimova T.L.
    Sokolova L.V.
    Journal of Mathematical Sciences, 2010, 171 (4) : 548 - 563
12345