Free vibration of orthotropic conical shells
TL;DR: In this article, a simple and exact solution procedure for linear free vibration of isotropic and orthotropic conical shells is presented, in the form of a power series in terms of a particularly convenient coordinate system, obtained directly from the governing equations for the three displacements.
About: This article is published in International Journal of Engineering Science.The article was published on 1993-05-01. It has received 99 citations till now. The article focuses on the topics: Orthotropic material & Conical surface.
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212 citations
TL;DR: In this article, a free vibration analysis for laminated conical and cylindrical shells was carried out using Love's first approximation thin shell theory and solved using discrete singular convolution (DSC) method.
158 citations
TL;DR: In this article, the free vibration analysis of thin conical shells under different boundary conditions is carried out using the element-free kp-Ritz method, and convergence studies are performed based on the influences of the support size and the number of nodes.
157 citations
TL;DR: In this article, a discrete singular convolution method for the free vibration analysis of rotating conical shells is proposed, where a regularized Shannon's delta kernel is used to illustrate the present algorithm.
136 citations
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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
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154 citations
TL;DR: In this paper, the free vibration of arbitrary shells of revolution by means of the classical bending theory of shells is investigated, and a method is developed that is applicable to rotationally symmetric shells with meridional variations in Young's modulus, Poisson's ratio, radii of curvature, and thickness.
Abstract: This paper is concerned with a theoretical investigation of the free vibration of arbitrary shells of revolution by means of the classical bending theory of shells. A method is developed that is applicable to rotationally symmetric shells with meridional variations (including discontinuities) in Young's modulus, Poisson's ratio, radii of curvature, and thickness. By means of the method of this paper, the natural frequencies and the corresponding mode shapes of axisymmetric or nonsymmetric free vibration of rotationally symmetric shells can be obtained without a limitation on the length of the meridian of the shell. To illustrate the application of the method given in this paper to particular shells, stone results of free vibration of spherical and conical shells obtained earlier by means of the bending theory are reproduced by the general method of this paper, and a detailed comparison is made. In addition, paraboloidal shells and a sphere cone shell combination are considered, which have been previously analyzed by means of the inextensional theory of shells, and natural frequencies and mode shapes predicted by the bending theory are given.
120 citations
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: In this article, an analysis of axisymmetric and unsymmetric free vibrations of conical or cylindrical shells with various boundary conditions is presented, where Love's first-approximation shell theory, with transverse shear strain added, was used and solutions were obtained by Galerkin's method.
78 citations