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Journal ArticleDOI

Free vibration of circular cylindrical shells with axially varying thickness

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TLDR
In this article, a semi-analytical finite element analysis is presented for determining the natural frequencies of thin circular isotropic cylindrical shells with variable thickness, where Love's first approximation shell theory is used to solve the problem.
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This article is published in Journal of Sound and Vibration.The article was published on 1991-05-22. It has received 40 citations till now. The article focuses on the topics: Isotropy & Axial symmetry.

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Citations
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Journal ArticleDOI

Exact solutions for vibration of stepped circular cylindrical shells

TL;DR: In this article, the exact solutions for the vibration of circular cylindrical shells with step-wise thickness variations in the axial direction were presented, where the shell is sub-divided into multiple segments at the locations of thickness variations.
Journal ArticleDOI

Calculation of natural frequencies and vibration modes of variable thickness cylindrical shells using the Wittrick-Williams algorithm

TL;DR: In this paper, a parametric study examines the effects of varying the geometry, degree of thickness taper and end conditions on the natural frequencies and mode shapes, providing benchmark results for designers and future researchers.
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Wave Based Method for Free and Forced Vibration Analysis of Cylindrical Shells With Discontinuity in Thickness

TL;DR: In this article, a wave-based method is presented to analyze the free and forced vibration of cylindrical shells with discontinuity in thickness, where the hull is first divided into multiple segments according to the locations of thickness discontinuity and/or driving points.
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Free and forced vibration analysis of multi-stepped circular cylindrical shells with arbitrary boundary conditions by the method of reverberation-ray matrix

TL;DR: A semi-analytical procedure for free and forced vibration analysis of multi-stepped circular cylindrical shell with arbitrary boundary conditions is developed with the employment of the method of reverberation-ray matrix.
References
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Journal ArticleDOI

Free Vibrations of Multilayer Anisotropic Cylindrical Shells

TL;DR: A theoretical analysis for determining the free vibra tional characteristics of thin-walled, circular cylindrical shells with layers of anisotropic elastic material arbitrarily laminated.
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Finite elements for the vibration of cones and cylinders

TL;DR: In this paper, a semi-analytical approach for the vibration of conical and cylindrical shells has been proposed based on mass matrices, and good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a conecylinder combination, and a cooling tower model.
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Free vibration of circular cylinders of variable thickness

TL;DR: In this article, the authors used the Rayleigh-Ritz method to describe the vibrational properties of finite length circular cylinders with shear diaphragm ends and symmetric circumferential wall thickness variations.
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Natural frequencies of clamped cylindrical shells.

TL;DR: In this paper, the authors defined the axial and circumferential coordinates of a shell and estimated the number of axial nodal circles not including the ends of the shell.
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Exact solutions for the free vibrations of open cylindrical shells with circumferentially varying curvature and thickness

TL;DR: In this paper, an exact solution procedure was developed for determining the free vibration frequencies and mode shapes of open non-circular cylindrical shells having circumferentially varying thickness and the two opposite, curved edges supported by shear diaphragms.
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