Analysis of open noncircular cylindrical shells.

Boyd, D. E.

doi:10.2514/3.5165

Cited by 10 publications

(3 citation statements)

References 6 publications

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“…Boyd [17] analysed a simply supported open cylindrical shell by solving Donell équations. Kurt and Boyd [18] used a trigonometric and polynomials displacement fùnction and solved the dynamics of simply supported cylindrical panels.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of anisotropic open cylindrical shells

Selmane

Lakis

1997

Computers & Structures

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis of anisotropic open cylindrical shells

Selmane

Lakis

1997

Computers & Structures

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“…Many pioneering studies have been carried out on the vibration analysis of the elastic cylindrical shell panels with constant curvature in which different approaches and theories are used for analysis, and some of them can be seen for instance in the literature. [5][6][7][8][9][10][11][12][13][14] On the other hand, very few results are available for the free vibration of elastic cylindrical panels having variable curvature cross-sections, and such of panels are analyzed by the lecturers [15][16][17][18][19][20][21][22] in which the authors have studied the free vibration behavior of simply supported cylindrical panels with linear and non-linear variation in curvature. Recently, the vibration of cylindrical shell panels with several boundary conditions has been analyzed, based on some kinds of shell theories, by using numerical approaches such as the Rayleigh-Ritz method, the Galerkin method, the finite element method, the finite strip method, the generalized Kantorovich-Vlasov method, and the reverberation-ray matrix.…”

Section: Introductionmentioning

confidence: 99%

Flügge shell theory and solution for the vibration analysis of a thin elastic cylindrical panel of varying curvature

Badry,

Safwat,

Khalifa

2023

Noise & Vibration Worldwide

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In this paper, the free vibration behavior of isotropic and orthotropic cylindrical shell panels with variable curvature subjected to certain ends boundary conditions is analyzed by the transfer matrix technique and solved by the Romberg integration approach. Flügge’s shell theory is employed to model the governing three-dimensional equations of vibration and Fourier’s approach is used to deform the displacement fields as trigonometric functions in the longitudinal direction. As a result of a semi-analytical procedure is conducted, the coupled governing equations of panel problem can be written in a matrix partial differential equation of first order with variable coefficients and reduced from the two-dimensional problem to one-dimensional one which is solved numerically as an initial-value problem. The proposed model is applied to get the natural frequencies and mode shapes for the vibration behavior of two-side simply-supported cylindrical panels with simply-supported, free-free, clamped-free and clamped-clamped ends boundary conditions lying at their curved edges. The sensitivity of the vibration behavior to the variety of curvature, panel parameters and material orthotropy of shell is studied.

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“…In general, the finite element method was popular in solving the vibration problems of shells (Gontkevitch, 1962;Mustapha and Ali, 1987;Petyt, 1971;Sabir and Lock, 1972;Bardell et al, 1997). Boyd (1969) carried out a study on a simply supported open non-circular cylindrical shell based on Donnell shell theory. Leissa (1985, 1986) studied the free vibrations of circular and non-circular open cylindrical shells with circumferentially varying thickness.…”

Section: Introductionmentioning

confidence: 99%

Vibration of open circular cylindrical shells with intermediate ring supports

Zhang

Xiang

2006

International Journal of Solids and Structures

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This paper is concerned with the free vibration of open circular cylindrical shells with intermediate ring supports. An analytical procedure for determining the free vibration frequencies of such shells is developed based on the Flü gge thin shell theory. An open circular cylindrical shell is assumed to be simply supported along the two straight edges and the remaining two opposite curved edges may have any combinations of support conditions. The shell is divided into multiple segments along the locations of the intermediate ring supports. The state-space technique is employed to derive the exact solutions for each shell segment and the domain decomposition method is applied to enforce the geometric and natural boundary/interface conditions along the interfaces of the shell segments and the curved edges of the shell. Comparison studies are carried out to verify the correctness of the proposed method. Exact vibration frequencies are obtained for open circular cylindrical shells with multiple intermediate ring supports.The influence of the number of intermediate ring supports, the locations of the ring supports, the boundary conditions and the variation of the included angle of the shells on the natural frequencies are examined. The exact vibration solutions can be used as important benchmark values for researchers to check their numerical methods and for engineers to design such shell structures.

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Analysis of open noncircular cylindrical shells.

Cited by 10 publications

References 6 publications

Dynamic analysis of anisotropic open cylindrical shells

Dynamic analysis of anisotropic open cylindrical shells

Flügge shell theory and solution for the vibration analysis of a thin elastic cylindrical panel of varying curvature

Vibration of open circular cylindrical shells with intermediate ring supports

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