Elastic buckling analysis of ring-stiffened cylindrical shells under general pressure loading via the Ritz method

Effect of ring support position and geometrical dimension on the free vibration of ring-stiffened cylindrical shells is studied in this paper. The study is carried out by using Sanders shell theory. Based on the Rayleigh-Ritz method, the shell eigenvalue governing equation is derived. The present analysis is validated by comparing results with those in the literature. The vibration characteristics are obtained investigating two different boundary conditions with simply supported-simply supported and clamped-free as the examples. Key Words: Ring-stiffened cylindrical shell; Free vibration; Rayleigh-Ritz method.

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Vibration Analysis for Rotating Ring-Stiffened Cylindrical Shells With Arbitrary Boundary Conditions

Journal of Vibration and Acoustics ◽

10.1115/1.4024220 ◽

2013 ◽

Vol 135 (6) ◽

Cited By ~ 17

Author(s):

Lun Liu ◽

Dengqing Cao ◽

Shupeng Sun

Keyword(s):

Free Vibration ◽

Boundary Conditions ◽

Vibration Analysis ◽

Cylindrical Shells ◽

Ritz Method ◽

Free Vibration Analysis ◽

Arbitrary Boundary ◽

Arbitrary Boundary Conditions ◽

Classical Boundary ◽

Stiffened Cylindrical Shells

The free vibration analysis of rotating ring-stiffened cylindrical shells with arbitrary boundary conditions is investigated by employing the Rayleigh–Ritz method. Six sets of characteristic orthogonal polynomials satisfying six classical boundary conditions are constructed directly by employing Gram–Schmidt procedure and then are employed to represent the general formulations for the displacements in any axial mode of free vibrations for shells. Employing those formulations during the Rayleigh–Ritz procedure and based on Sanders' shell theory, the eigenvalue equations related to rotating ring-stiffened cylindrical shells with various classical boundary conditions have been derived. To simulate more general boundaries, the concept of artificial springs is employed and the eigenvalue equations related to free vibration of shells under elastic boundary conditions are derived. By adjusting the stiffness of artificial springs, those equations can be used to investigate the vibrational characteristics of shells with arbitrary boundaries. By comparing with the available analytical results for the ring-stiffened cylindrical shells and the rotating shell without stiffeners, the method proposed in this paper is verified. Strong convergence is also observed from convergence study. Further, the effects of parameters, such as the stiffness of artificial springs, the rotating speed of the ring-stiffened shell, the number of ring stiffeners and the depth to width ratio of ring stiffeners, on the natural frequencies are studied.

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Elastic Buckling Analysis of Angle-Ply Laminated Circular Cylindrical Shells Subjected to Axial Compressive Load.

TRANSACTIONS OF THE JAPAN SOCIETY OF MECHANICAL ENGINEERS Series A ◽

10.1299/kikaia.60.229 ◽

1994 ◽

Vol 60 (569) ◽

pp. 229-235 ◽

Cited By ~ 1

Author(s):

Yoshiki Ohta ◽

Yoshihiro Narita

Keyword(s):

Cylindrical Shells ◽

Compressive Load ◽

Buckling Analysis ◽

Elastic Buckling ◽

Axial Compressive Load ◽

Circular Cylindrical Shells

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Inversion of the Eccentricity Effect in Stiffened Cylindrical Shells Buckling under External Pressure

Journal of Mechanical Engineering Science ◽

10.1243/jmes_jour_1966_008_048_02 ◽

1966 ◽

Vol 8 (4) ◽

pp. 363-373 ◽

Cited By ~ 13

Author(s):

J. Singer ◽

M. Baruch ◽

O. Harari

Keyword(s):

Hydrostatic Pressure ◽

Lateral Pressure ◽

Cylindrical Shells ◽

External Pressure ◽

Pressure Loading ◽

Physical Explanation ◽

Eccentricity Effect ◽

Geometry Parameter ◽

Shell Geometry ◽

Stiffened Cylindrical Shells

The analysis of the general instability of stiffened cylindrical shells under hydrostatic pressure carried out earlier is continued in order to study the inversion of the eccentricity effect: 500 typical shells of varying geometries are considered. The results show that for lateral pressure loading the inversion of the eccentricity effect is practically independent of the geometry of the rings but depends very strongly on the shell geometry parameter Z, whereas for hydrostatic pressure the inversion is also influenced by the bending stiffness of the rings. A range of inversion is found for both loadings. A detailed physical explanation of the cause of the eccentricity effect and its inversion is proposed.

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