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

Ma, Xianglong; Jin, Guoyong; Xiong, Yeping; Liu, Zhigang

doi:10.1016/j.ijmecsci.2014.08.002

Cited by 122 publications

(31 citation statements)

References 29 publications

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“…The effects of semi-vertex angle, the meridional length and the shell thickness on the natural frequencies were investigated. Ma et al [254] presented a free and forced vibration analysis of coupled conical-cylindrical shells with arbitrary boundary condition. New numerical examples were also conducted to illustrate the forced vibration behaviour of the coupled conical-cylindrical shells subjected to the excitation forces in different directions.…”

Section: Cone-cylinder Junctionsmentioning

confidence: 99%

Junctions in shell structures: A review

Pietraszkiewicz

Konopińska

2015

Thin-Walled Structures

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Section: Cone-cylinder Junctionsmentioning

confidence: 99%

Junctions in shell structures: A review

Pietraszkiewicz

Konopińska

2015

Thin-Walled Structures

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“…Ma et al used Fourier-Ritz method to solve the problem for free and forced vibration analysis of coupled conical-cylindrical shells with arbitrary boundary conditions. 18 Free vibration analysis of fibre reinforced composite (FRC) conical shells resting on Pasternak-type elastic foundation was investigated by Zaroumi et al using Galerkin and Ritz methods. 19 A study on conical shells was conducted by Heydarpour et al in which they applied the differential quadrature method (DQM) to solve free vibration analysis of rotating functionally graded carbon nanotube-reinforced composite truncated conical shells based on the first order shear deformation theory of shells.…”

Section: Introductionmentioning

confidence: 99%

Free Vibration of Angle-ply Laminated Conical Shell Frusta with Linear and Exponential Thickness Variations

Viswanathan¹,

Hafizah²,

Aziz³

2018

IJAV

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Free vibration of laminated conical shell frusta of variable thickness is studied using spline approximation. This problem includes first order shear deformation and considers shells as antisymmetric angle-ply orientation. The governing differential equations of the shells are resolved in terms of displacement functions and rotational functions. These functions are approximated using splines and the method of collocation is adopted for simultaneous algebraic equations. These equations become generalized eigenvalue problems and are solved numerically to avail eigenfrequencies and the corresponding eigenvectors. The variation of frequencies is analysed with respect to the cone angle, aspect ratio, material properties, number of layers, and thickness variation.

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“…Chen et al [17] presented wave based method to analyze the free and forced vibration of cylindrical shells with discontinuity in thickness. Ma et al [18] presented a free and forced vibration analysis of coupled conical-cylindrical shells with arbitrary boundary conditions using a modified Fourier-Ritz method. Dozio [19] deals with the formulation of advanced two-dimensional Ritz-based models for accurate prediction of natural frequencies of thin and thick sandwich plates core made of functionally graded material.…”

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

Cited by 122 publications

References 29 publications

Junctions in shell structures: A review

Junctions in shell structures: A review

Free Vibration of Angle-ply Laminated Conical Shell Frusta with Linear and Exponential Thickness Variations

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

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