Analysis of Toroidal Shells with Small Initial Displacements PDF Download
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Author: Kulwant S. Dhanju
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Book Description
Author: Kulwant S. Dhanju
Publisher:
ISBN:
Category :
Languages : en
Pages : 164
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Book Description
Author: J. Kiusalaas
Publisher:
ISBN:
Category :
Languages : en
Pages : 59
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Book Description
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: J. Kiusalaas
Publisher:
ISBN:
Category :
Languages : en
Pages : 4
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Book Description
The role of initial displacements in the analysis of toroidal shells under various loading conditions was pointed out by deriving the shell equations of Zenova and Novozhilov, which were modified such as to include the highest-order terms in initial displacements. It was shown that the stresses and displacements are very sensitive to the imperfections in the case of uniform pressure; on the other hand, the analysis is comparatively immune if the loading consists of forces or moments applied to the edges of the shell. (Author).
Author:
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Category : Military research
Languages : en
Pages : 756
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Author:
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Category : Aeronautics
Languages : en
Pages : 984
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Author: Fan Zhang
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 232
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Book Description
The present study is concerned with the series solution based on the Sanders shell theory for the linear elastic problems of the surface loading of thin-walled toroidal shells. The Sanders theory is considered to be one of the most accurate first order theories. For toroidal shells, series solutions have been given by several authors, using other theories and furthermore using a stress approach. In the present study a displacement approach is taken. The governing equations are first developed in toroidal coordinates. The loading case of a pad of uniform normal pressure is then considered in detail, and series expansions are written for the load, displacement and stress terms. Results are computed using the shell theory for sample problems. To check the accuracy of the theory, the results are compared with numerical results obtained using the Finite Element Method (FEM), the Mushtari-Vlasov-Donnel (MVD) and Flugge shell theories. There is a close agreement in the results. The Sanders shell theory is then applied to the problem of local loads on sectorial toroidal shells. The results are compared with results for corresponding cylindrical shells. Three tables are given summarizing results for characteristic displacements and stresses in a number of shells, covering a wide range of geometric parameters. The results given provide practical information for structural analysts and designers of piping and vessels, and furthermore give information about the Sanders shell theory and FEM solution characteristics.
Author: Wojciech Pietraszkiewicz
Publisher: Springer Science & Business Media
ISBN: 3642828388
Category : Science
Languages : en
Pages : 394
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Book Description
The deformation near a material particle of the classical continuum is produced by successive superposition of a rigid-body translation, a pure stretch along principal directions of strain and a rigid-body ro tation of those directions. The rotational part of deformation is par ticularly important in the non-linear analysis of thin-walled solid structures such as ~eams, thin-walled bars, plates and shells, since in this case finite rotations may appear even if the strains are infinite simal. It seems that the research concerning the application of finite ro tations is carried out independently in different fields of structural mechanics. Theoretical and numerical methods developed and the results obtained for a particular type of the structure or for a particular ma terial behaviour not always are used to analyse similar problems for other types of structures or for another material behaviour. Since the research in this field had been growing rapidly, it was decided to organize an informal international meeting, under the auspi ces of the European Mechanics Co~mittee, entitled: Euromech Colloquium 197 "Finite Rotations in Structural Mechanics". The meeting was held on 17 - 20 September 1985 in Jablonna, a small suburbian area of Warsaw.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 568
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Author:
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ISBN:
Category : Government publications
Languages : en
Pages : 1062
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Author: Ricky Steven Powell
Publisher:
ISBN:
Category : Naval architecture
Languages : en
Pages : 136
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Book Description
The specific impetus for this work was a conceptual design of a submarine using te toroid as the pressure hull. This work is a continuation of the work started by Bowen (1987). As such, it is hoped that a better understanding of the behavior of a toroid under hydrostatic pressure can be realized. This work began with a review of efforts to solve complete toroidal structures. A specific toroid was then modeled in the BOSOR4 computer program to obtain displacements of the meridian under hydrostatic pressure. Functions were then derived that described the general form of these displacements. Using these functions as the assumed solution for the energy method an energy balance was made and a program was written to solve the displacements of a generic toroid under hydrostatic loading. (MJM).
