Free vibration of joined conical-cylindrical shells
TL;DR: In this paper, the free vibration analysis of joined conical-cylindrical shells is presented, where the governing equations of vibration of a conical shell, including a cylindrical shell as a special case, are written as a coupled set of first order differential equations by using the transfer matrix of the shell.
About: This article is published in Journal of Sound and Vibration.The article was published on 1984-07-08. It has received 129 citations till now. The article focuses on the topics: Shell (structure) & Matrix (mathematics).
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TL;DR: In this paper, the free vibrational characteristics of isotropic coupled conical-cylindrical shells are analyzed using two different methods: a wave solution and a power series solution.
126 citations
109 citations
Additional excerpts
...[9] to investigate the vibration behavior of a conical–cylindrical shell combination....
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TL;DR: In this article, a modified variational method for dynamic analysis of ring-stiffened conical-cylindrical shells subjected to different boundary conditions is presented, which involves partitioning the stiffened shell into appropriate shell segments in order to accommodate the computing requirement of high-order vibration modes and responses.
Abstract: This work presents a modified variational method for dynamic analysis of ring-stiffened conical–cylindrical shells subjected to different boundary conditions. The method involves partitioning of the stiffened shell into appropriate shell segments in order to accommodate the computing requirement of high-order vibration modes and responses. All essential continuity constraints on segment interfaces are imposed by means of a modified variational principle and least-squares weighted residual method. Reissner-Naghdi's thin shell theory combined with the discrete element stiffener theory to consider the ring-stiffening effect is employed to formulate the theoretical model. Double mixed series, i.e., the Fourier series and Chebyshev orthogonal polynomials, are adopted as admissible displacement functions for each shell segment. To test the convergence, efficiency and accuracy of the present method, both free and forced vibrations of non-stiffened and stiffened shells are examined under different combinations of edge support conditions. Two types of external excitation forces are considered for the forced vibration analysis, i.e., the axisymmetric line force and concentrated point force. The numerical results obtained from the present method show good agreement with previously published results and those from the finite element program ANSYS. Effects of structural damping on the harmonic vibration responses of the stiffened conical–cylindrical–conical shell are also presented.
106 citations
TL;DR: In this article, the free vibration of a structure consisting of a finite circular cylindrical shell closed at one end by a circular plate is analyzed by means of continuous distributions of springs along the shell and the plate interface.
102 citations
TL;DR: In this paper, the free vibration characteristics of the joined spherical-cylindrical shell with various boundary conditions are investigated, and the boundary conditions considered herein are free-free, simply supported-free and clamped-free for the joined cylindrical-spherical shell structures.
98 citations
References
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TL;DR: In this paper, the free vibration of a truncated conical shell with variable thickness was analyzed by using the transfer matrix approach, and the effects of the semi-vertex angle, truncated length and varying thickness on the vibration were studied.
105 citations
TL;DR: Vibrational characteristics of composite shells, noting effects of circular joint connecting two components are discussed in this paper, where the authors show that composite shells exhibit similar properties to composite shells.
Abstract: Vibrational characteristics of composite shells, noting effects of circular joint connecting two components
57 citations
TL;DR: In this paper, the vibrations of a cylindrical shell of which one end is built-in and the other is combined to a circular plate or of which both ends are combined to circular plates are studied.
Abstract: The vibrations of a cylindrical shell of which one end is built-in and the other is combined to a circular plate or of which both ends are combined to circular plates are studies. The displacements of a circular plate and a cylindrical shell which is built-in at one end are shown in graphs. The distribution of the bending moment in this cylindrical shell is also shown.
30 citations