Analysis of Toroidal Shells PDF Download
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Author: Robert James Timms
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages :
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Book Description
Author: Robert James Timms
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages :
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Author: Bo Xu
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ISBN:
Category :
Languages : en
Pages : 0
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Book Description
The present study is concerned with the vibration and stability analysis of toroidal shells. The study was conducted in two parts. The first part dealt with the vibration of toroidal panels, and the second with the stability of complete toroidal shells under distributed and concentrated loading. The natural frequency and mode shape analysis of toroidal panels formed the first part of the study. The problem has potential application to reactor vessels. Panels were considered cut from different positions of a toroidal surface. Solutions were set up using the Fourier series approach, finite element method, and the differential quadrature method. Comparisons between results were made, and parametric studies considering the effect of position, thickness, and boundary conditions were carried out. The linear elastic stability analysis of a partially submerged toroidal shell subject to concentrated loads forms the second part of the study. The problem has potential application to an offshore platform. The loading applied to the shell is idealized as a set of pads of normal surface stresses. A theoretical solution for the smallest buckling load based on the Donnell stability equations is developed. Sample results for the critical load and buckling mode are determined using the finite element method. Finally a hybrid solution based on shell theory and the differential quadrature method is presented.
Author: Kulwant S. Dhanju
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Author: Walter S. Yager (CAPT, USAF.)
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 86
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Author: Oles Lomacky
Publisher:
ISBN:
Category :
Languages : en
Pages : 118
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Author: L. N. Osipova
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 134
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Author:
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Category :
Languages : en
Pages :
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Author: J. Kiusalaas
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ISBN:
Category :
Languages : en
Pages : 59
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An approximate method for analyzing toroidal shells by linear bending theory is presented. Special emphasis is placed on the influence of initial displacements of the meridian, due to manufacturing imperfections, in determining the stresses and displacements of the shells. The results of the analysis are compared with strain gage readings for the case of uniform normal pressure. A reasonable agreement is obtained only if the effects of the imperfections are included in the analysis. Methods of solution for axial forces and centrifugal loads are also given; the former is shown to be insensitive to the initial displacements, while the sensitivity of the latter depends on the source of the loading (fluid enclosed in the shell or the shell material itself). (Author).
Author: Galip Mehmet Arkilic
Publisher:
ISBN:
Category : Elastic plates and shells
Languages : en
Pages : 166
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Author: Wen Jiang
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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The present thesis consists of two main parts. The first part is concerned with the vibration and statics of transversely isotropic thick-walled toroidal shells. The second part is concerned with the vibration and statics of orthotropic thin-walled toroidal shells. In the first part a solution based on the linear three-dimensional theory of elasticity is developed for vibration and static problems of toroidal shells. The theory is developed for transversely isotropic toroids of arbitrary but uniform thickness. In the semi-analytical method that is adopted Fourier series are written in the circumferential direction, forming a set of two-dimensional problems. Finally results are determined for local surface loading problems. In the second part a solution based on the linear elastic Sanders-Budiansky shell equations is developed. The vibration and static characteristics of orthotropic toroidal shells of variable thickness are considered. A semi-analytical method in which Fourier series are written in the circumferential direction is adopted, forming a set of one-dimensional problems. A novelty in the solution concerns the use of power series as trial functions in a domain exhibiting cyclic periodicity. Results are determined in the second part for two separate applications. The problems in both parts of the work are solved using the differential quadrature method. A commercial finite element program is used to determine alternative solutions. The results from these two methods are compared, and conclusions are drawn.
