Exact vibration frequencies of segmented axisymmetric shells

Efraim, Elia; Eisenberger, Moshe

doi:10.1016/j.tws.2006.03.006

Cited by 83 publications

(18 citation statements)

References 7 publications

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“…In order to further validate the accuracy of the present method, Table 2 compares the frequency parameters of the coupled conical-cylindrical shell obtained by present method with those from ANSYS and the literature reported by Efraim and Eisenberger [10] and Caresta and Kessissoglou [13].Very good agreement is observed for not only the lower-order natural frequencies but also the higher-order frequencies.…”

Section: Validationmentioning

confidence: 60%

“…The transfer matrix method was used by Irie et al [9] to investigate the vibration behavior of a conical-cylindrical shell combination. Efraim and Eisenberger [10] studied the free vibration behavior of segmented axisymmetric shells by using a power series solution and obtained relatively accurate natural frequencies. Galletly and Mistry [11] obtained the natural frequencies of cylindrical shells clamped at one end and closed at the other by different types of shells, including cones, hemispheres, ellipsoids, etc.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

122

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Section: Validationmentioning

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Jin

Xiong

et al. 2014

International Journal of Mechanical Sciences

122

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“…Rougui et al [28] investigated the nonlinear free and forced vibrations of simply supported thin circular cylindrical shells using Lagrange's equations and an improved transverse displacement expansion. Efraim and Eisenberger [29] studied the dynamic behaviors of coupled shells made of conical, cylindrical, and plate segments by using a dynamic stiffness matrix method. Caresta and Kessissoglou [30] presented the vibration characteristics of isotropic coupled conical-cylindrical shells by using a wave solution and a power series expansion method.…”

Section: Introductionmentioning

confidence: 99%

Free and Forced Vibration Analysis of Airtight Cylindrical Vessels with Doubly Curved Shells of Revolution by Using Jacobi-Ritz Method

Pang

Choe³

et al. 2017

Shock and Vibration

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This paper presents free and forced vibration analysis of airtight cylindrical vessels consisting of elliptical, paraboloidal, and cylindrical shells by using Jacobi-Ritz Method. In this research, the theoretical model for vibration analysis is formulated by Flügge's thin shell theory and the solution is obtained by Rayleigh-Ritz method. The vessel structure is divided into shell components (i.e., ellipsoid, parabolic, and cylinder) and their segments, and each displacement field of shell segments is represented by the Jacobi polynomials and the standard Fourier series. The continuous conditions at the interface are modeled by using the spring stiffness technique. The reliability and the accuracy of the present method are verified by comparing the results of the proposed method with the results of the previous literature and the finite element method (FEM). Moreover, some numerical results for free and forced vibration of elliptical-cylindrical-elliptical vessel (ECE vessel) and paraboloidal-cylindrical-elliptical vessel (PCE vessel) are reported.

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“…In [5] the FE derived results for a thin conicalcylindrical shell combination were verified through experimental measurements. In [6] a power series solution was applied for the calculation of the natural frequencies of segmented axisymmetric shells. Moreover, in [7] the authors analyzed the free vibration of thin coupled shells, also by using a power series method to model the displacement field within the conical part.…”

Section: Introductionmentioning

confidence: 99%

Predicting the broadband response of a layered cone-cylinder-cone shell

Chronopoulos

Ichchou

Troclet

et al. 2014

Composite Structures

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The dynamic response of an aerospace layered structure composed of a combination of conical and cylindrical shells is hereby modelled. In the low and the mid-frequency ranges a WFEM derived ESL approach implemented within a FEM is used in order to predict the response of the shell. Furthermore, in the high frequency range the CLF of the connected subsystems are calculated using a WFEM/FEM approach. These CLF are implemented within a SEA approach in order to predict the structural response. The accuracy and robustness of the developped approaches are exhibited by comparisons to experimental measurements on a layered conical-shell-conical configuration.

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Exact vibration frequencies of segmented axisymmetric shells

Cited by 83 publications

References 7 publications

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free and forced vibration analysis of coupled conical–cylindrical shells with arbitrary boundary conditions

Free and Forced Vibration Analysis of Airtight Cylindrical Vessels with Doubly Curved Shells of Revolution by Using Jacobi-Ritz Method

Predicting the broadband response of a layered cone-cylinder-cone shell

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