Effect of Boundary Conditions on Flexural Vibrations of Thin Orthogonally Stiffened Cylindrical Shells

1967 ◽  
Vol 42 (4) ◽  
pp. 901-903 ◽  
Author(s):  
Leslie E. Penzes
Keyword(s):  
Boundary Conditions ◽  
Cylindrical Shells ◽  
Flexural Vibrations ◽  
Stiffened Cylindrical Shells

Elastic Postbuckling Behavior of Stiffened and Barreled Cylindrical Shells

1969 ◽  
Vol 36 (4) ◽  
pp. 784-790 ◽  
Author(s):  
J. W. Hutchinson ◽  
J. C. Frauenthal
Keyword(s):  
General Theory ◽  
Boundary Conditions ◽  
Type Theory ◽  
Cylindrical Shells ◽  
Buckling Load ◽  
Postbuckling Behavior ◽  
Imperfection Sensitivity ◽  
Different Boundary Conditions ◽  
Stiffened Cylindrical Shells

The initial postbuckling behavior of axially stiffened cylindrical shells is studied with a view to ascertaining the extent to which various effects such as stringer eccentricity, load eccentricity, and barreling influence the imperfection-sensitivity of these structures to buckling. In most cases, when these effects result in an increase in the buckling load of the perfect structure, they increase its imperfection-sensitivity as well. In some instances, however, barreling can significantly raise the buckling load of the shell while reducing its imperfection-sensitivity. The analysis, which is based on Koiter’s general theory of postbuckling behavior and is made within the context of Ka´rma´n-Donnell-type theory, takes into account nonlinear prebuckling deformations and different boundary conditions.

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

2013 ◽  
Vol 135 (6) ◽  
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.

scholarly journals Effect of Boundary Conditions on the Behavior of Stiffened and Un-Stiffened Cylindrical Shells

2018 ◽  
Vol 19 (3) ◽  
pp. 867-878 ◽  
Author(s):  
Oussama Temami ◽  
Ashraf Ayoub ◽  
Djamal Hamadi ◽  
Imed Bennoui
Keyword(s):  
Boundary Conditions ◽  
Cylindrical Shells ◽  
Stiffened Cylindrical Shells
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