Free vibration of nonlinear deformation ring-and stringer-stiffened nonuniform cylindrical shell

The free vibration of laminated composite stiffened cylindrical shell panels in the presence of cutout is investigated. A finite element code is developed using eight-noded curved quadratic isoparametric element for shell with a three noded beam element for stiffener and the formulation is validated through solution of benchmark problems which were earlier solved by other researchers. Parametric study is carried out varying the size of the cutouts and their positions with respect to the shell centre for different edge constraints. The results are presented in the form of figures and tables. The results are further analyzed to suggest guidelines to select optimum size and position of the cutout with respect to shell centre considering the different practical constraints.

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Free Vibration of a Circular Cylindrical Shell Elastically Restrained by Axially Spaced Springs

Journal of Applied Mechanics ◽

10.1115/1.3167088 ◽

1983 ◽

Vol 50 (3) ◽

pp. 544-548 ◽

Cited By ~ 4

Author(s):

T. Irie ◽

G. Yamada ◽

Y. Muramoto

Keyword(s):

Cylindrical Shell ◽

Free Vibration ◽

Circular Cylindrical Shell ◽

Frequency Equation ◽

Mode Shapes ◽

Governing Equations ◽

Structure Matrix ◽

The Matrix ◽

Circular Cylindrical Shells ◽

Elastically Restrained

An analysis is presented for the free vibration of a circular cylindrical shell restrained by axially spaced elastic springs. The governing equations of vibration of a circular cylindrical shell are written as a coupled set of first-order differential equations by using the transfer matrix of the shell. Once the matrix has been determined, the entire structure matrix is obtained by the product of the transfer matrices and the point matrices at the springs, and the frequency equation is derived with terms of the elements of the structure matrix under the boundary conditions. The method is applied to circular cylindrical shells supported by axially equispaced springs of the same stiffness, and the natural frequencies and the mode shapes of vibration are calculated numerically.

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Free vibration of a ribbed cylindrical shell with a weight on springs

Strength of Materials ◽

10.1007/bf00767586 ◽

1979 ◽

Vol 11 (5) ◽

pp. 543-545

Author(s):

I. Ya. Amiro ◽

V. G. Palamarchuk

Keyword(s):

Cylindrical Shell ◽

Free Vibration

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Free vibration of functionally graded porous cylindrical shell using a sinusoidal shear deformation theory

Aerospace Science and Technology ◽

10.1016/j.ast.2017.03.003 ◽

2017 ◽

Vol 66 ◽

pp. 83-91 ◽

Cited By ~ 88

Author(s):

Yuewu Wang ◽

Dafang Wu

Keyword(s):

Cylindrical Shell ◽

Free Vibration ◽

Shear Deformation ◽

Deformation Theory ◽

Shear Deformation Theory ◽

Functionally Graded ◽

Sinusoidal Shear Deformation Theory

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Wave Based Method for Free Vibration Analysis of Ring Stiffened Cylindrical Shell with Intermediate Large Frame Ribs

Shock and Vibration ◽

10.1155/2013/382589 ◽

2013 ◽

Vol 20 (3) ◽

pp. 459-479 ◽

Cited By ~ 17

Author(s):

Meixia Chen ◽

Jianhui Wei ◽

Kun Xie ◽

Naiqi Deng ◽

Guoxiang Hou

Keyword(s):

Cylindrical Shell ◽

Free Vibration ◽

Boundary Conditions ◽

Natural Frequencies ◽

Free Vibration Analysis ◽

Structure Type ◽

Vibration Characteristics ◽

Mode Shapes ◽

Arbitrary Boundary ◽

Stiffened Cylindrical Shell

Wave based method which can be recognized as a semi-analytical and semi-numerical method is presented to analyze the free vibration characteristics of ring stiffened cylindrical shell with intermediate large frame ribs for arbitrary boundary conditions. According to the structure type and the positions of discontinuities, the model is divided into different substructures whose vibration field is expanded by wave functions which are exactly analytical solutions to the governing equations of the motions of corresponding structure type. Boundary conditions and continuity equations between different substructures are used to form the final matrix to be solved. Natural frequencies and vibration mode shapes are calculated by wave based method and the results show good agreement with finite element method for clamped-clamped, shear diaphragm – shear diaphragm and free-free boundary conditions. Free vibration characteristics of ring stiffened cylindrical shells with intermediate large frame ribs are compared with those with bulkheads and those with all ordinary ribs. Effects of the size, the number and the distribution of intermediate large frame rib are investigated. The frame rib which is large enough is playing a role as bulkhead, which can be considered imposing simply supported and clamped constraints at one end of the cabin and dividing the cylindrical shell into several cabins vibrating separately at their own natural frequencies.

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