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Journal ArticleDOI

Vibration analysis of orthotropic shells with variable thickness

01 Jan 1990-Computers & Structures (Pergamon)-Vol. 35, Iss: 3, pp 239-248
TL;DR: In this article, the free vibration characteristics of orthotropic circular cylindrical shells are analyzed using Love's first approximation shell theory, and the effect of degree of orthotropy on natural frequencies of shells is also investigated.
About: This article is published in Computers & Structures.The article was published on 1990-01-01. It has received 23 citations till now. The article focuses on the topics: Orthotropic material.
Citations
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Journal ArticleDOI
TL;DR: In this article, an analytical procedure and closed-form vibration solutions with analytically determined coefficients for orthotropic circular cylindrical shells having classical boundary conditions are presented, based upon the Donnell-Mushtari shell theory.

77 citations

Journal ArticleDOI
TL;DR: In this article, the authors investigated the non-linear free vibration of functionally graded (FG) orthotropic cylindrical shells taking into account the shear stresses, and derived the expressions for the nonlinear frequency parameters and nonlinear to linear frequency ratios depending on the amplitude within the SDT.

58 citations

Journal ArticleDOI
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.

56 citations

References
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Journal ArticleDOI
TL;DR: In this article, the modal characteristics of thin cylindrical shells have been determined for all sixteen sets of homogeneous boundary conditions, at each end of the shell (each set contains four conditions).
Abstract: The modal characteristics of thin cylindrical shells have previously been determined for only three sets of boundary conditions. In the present analysis, all sixteen sets of homogeneous boundary conditions are considered, at each end of the shell (each set contains four conditions). The equations of motion of thin, circular, cylindrical shells developed by Flugge are used. The general solution to these equations can easily be written down. The difficulty arises in evaluating the constants of integration, and this apparently is the reason no one has followed this approach to its ultimate conclusion. One can assume a circumferential nodal pattern, eight boundary conditions, and a frequency of vibration, and then iterate numerically to find the length of shell that will meet these conditions. The advantage of this approach is that one can obtain a solution to the basic equations for any boundary conditions desired. Results indicate that the condition placed on the longitudinal displacement μ in many cases is...

208 citations

Journal ArticleDOI
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.
Abstract: A theoretical analysis is presented for determining the free vibra tional characteristics of thin-walled, circular cylindrical shells with layers of anisotropic elastic material arbitrarily laminat...

127 citations

Journal ArticleDOI
TL;DR: In this paper, the free vibration problem of thin elastic cross-ply laminated circular cylindrical panels is considered and a theoretical unification as well as a numerical comparison of the thin shell theories most commonly used (in engineering applications) is presented.

100 citations

Journal ArticleDOI
TL;DR: In this paper, a refined version of the Love-type theory of motion is established for orthotropic composite cylindrical shells, expressed by R sub 1 inertia terms, and an extended version is formulated to account for dynamic stability problems involving time-dependent and non-conservative forces.

59 citations

Journal ArticleDOI
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.
Abstract: Elemental mass matrices have been produced for the vibration of conical and cylindrical shells, based on a semi-analytical approach. Frequencies and modes of vibration have been compared with existing solutions and also with experimental results obtained from other sources. Good agreement has been found between theory and experiment for thin-walled circular cylinders and cones, a cone-cylinder combination, and a cooling tower model. A theoretical investigation was also made on the vibration of a circular cylinder when subjected to uniform pressure.

51 citations