Ye Kai-yuan, Ji Zhen-yi. Free Vibration of Nonlinear Deformation Ring-and Stringer Stiffened Nonuniform Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1988, 9(11): 963-974.
Citation: Ye Kai-yuan, Ji Zhen-yi. Free Vibration of Nonlinear Deformation Ring-and Stringer Stiffened Nonuniform Cylindrical Shell[J]. Applied Mathematics and Mechanics, 1988, 9(11): 963-974.

Free Vibration of Nonlinear Deformation Ring-and Stringer Stiffened Nonuniform Cylindrical Shell

  • Received Date: 1987-10-15
  • Publish Date: 1988-11-15
  • Cylindrical shells stiffened with rings and stringers are used in many structural application with as pipes conveying fluids or gases and aerospace.In this paper, the eral solulin is obtained for free vibration of nonlinear deformation ring-and stringer-stiffened cylindrical shell with arbitrary boundary condition by step reduction method, Finally, it is only necessary to solve a nonlinearl gebraic equation.This equation is expressed as an analytic form.Its convergence is proved.Three numerical examples are given at the end of the paper which indicate that satisfactory results can he obtained by step reduction method.
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  • [1]
    叶开沅,非均匀变厚度弹性力学若干问题的一般解,非均匀变厚度梁的弯曲,稳定和自由振动,兰州大学学报力学专号,1(1979),133-157.
    [2]
    Bleich H.H.,Approximate determination of the frequencies of ring stiffened cylindrical shell.sterreichisches Ingenieur-Archiv.,15(1961)1-4.
    [3]
    Baron,M.L.,Circular symmetric vibrations of infinitely long cylindrical shells with equidistant stiffeners,Journal of Applied Mechanics,23(1958),316-318.
    [4]
    Wah,T.,Circular symmetric vibrations of ring-stiffened cylindrical shells,Journal of Society of Industrial and Applied Mathemaths.12(1964),649-662.
    [5]
    Wah,T.,Flexural vibration of ring-stiffened cylindrical shells,Jonural of Sound and Vibration,3(1966),242-251.
    [6]
    Wah,T,and W.C.L Hu,Vibration analysis of stiffened cylinders including inter-ring motion,Journal of the Acousttcal Sociey of America,43(1968),1005-1016.
    [7]
    Forsberg,K.,Exact solution for natural frequencies of ring-stiffened cylinders,AIAA/ASME 10th Structures,Structural Dynamics and Materials Conference,New Orleans,Louisiana(1969),18-20.
    [8]
    Beskos,D.E.and J.B.Oates.Dynamic analysis of ring-stiffened circular cylindrical shells.Journal of Soand and Vibration 75(1981),1-15.
    [9]
    李龙元,环向加筋圆柱壳自由振动的摄动解,应用数学和力学,8,3(1987),277-285
    [10]
    Henshell,R.D.,B.K.Neale and G.B.Warburton,The natural frequencies of complex cylindrical shell structures,Applwattons of Experimental and Theoretical Structural Dynamics,1(1972).
    [11]
    Li Long-yuan and Loo Wen-da.Analyses of free vibration and response to turbulent wind of hyperbolic cooling towers with ring stiffeners,Part I,Theoretical analyses ring IASS.Japan(1986).
    [12]
    Flügge,W,,《壳体中的应力》,中国工业出版社(1965).
    [13]
    Rektorys,Karel,Variational Methods in Mathematics,Science and Engineering.Sec.ed.,D.Reidel Publishing Company,Holland(1980).
    [14]
    Dym,C.L.,Introduction to the Theory of Shell,Pergamon Press,New York(1974).
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