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Surface Loading Of A Thin Walled Toroidal Shell


Surface Loading Of A Thin Walled Toroidal Shell
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Surface Loading Of A Thin Walled Toroidal Shell


Surface Loading Of A Thin Walled Toroidal Shell
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Author : Fan Zhang
language : en
Publisher:
Release Date : 1992

Surface Loading Of A Thin Walled Toroidal Shell written by Fan Zhang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Shells (Engineering) categories.


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.



Toroidal Shell Subjected To A Uniform Internal Pressure Load


Toroidal Shell Subjected To A Uniform Internal Pressure Load
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Author : Joshua M. Saiff
language : en
Publisher:
Release Date : 2002

Toroidal Shell Subjected To A Uniform Internal Pressure Load written by Joshua M. Saiff and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Finite element method categories.




Analysis Of Toroidal Shells Using The Semi Analytical Dqm


Analysis Of Toroidal Shells Using The Semi Analytical Dqm
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Author : Wen Jiang
language : en
Publisher:
Release Date : 2002

Analysis Of Toroidal Shells Using The Semi Analytical Dqm written by Wen Jiang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.


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.



Vibration And Stability Analysis Of Toroidal Shells


Vibration And Stability Analysis Of Toroidal Shells
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Author : Bo Xu
language : en
Publisher:
Release Date : 1999

Vibration And Stability Analysis Of Toroidal Shells written by Bo Xu and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999 with categories.


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.



Statics Of Thin Walled Shells Of Revolution


Statics Of Thin Walled Shells Of Revolution
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Author : V. S. Chernina
language : en
Publisher:
Release Date : 1971

Statics Of Thin Walled Shells Of Revolution written by V. S. Chernina and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with categories.


The book is devoted to the theory and design of thin-walled shells of revolution. The basic equations of the theory are derived in an elementary form for a shell of revolution subjected to arbitrary loading. The deformations of cylindrical, conical, spherical, and toroidal shells are analyzed in detail under axisymmetrical and bending loads. The book is intended for design engineers and scientific workers engaged in designing machines and structures for strength. (Author).



Applied Mechanics Reviews


Applied Mechanics Reviews
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Author :
language : en
Publisher:
Release Date : 1970

Applied Mechanics Reviews written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mechanics, Applied categories.




Scientific And Technical Aerospace Reports


Scientific And Technical Aerospace Reports
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Author :
language : en
Publisher:
Release Date : 1991

Scientific And Technical Aerospace Reports written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991 with Aeronautics categories.


Lists citations with abstracts for aerospace related reports obtained from world wide sources and announces documents that have recently been entered into the NASA Scientific and Technical Information Database.



Nasa Scientific And Technical Reports


Nasa Scientific And Technical Reports
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Author : United States. National Aeronautics and Space Administration Scientific and Technical Information Division
language : en
Publisher:
Release Date : 1967

Nasa Scientific And Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.




A Selected Listing Of Nasa Scientific And Technical Reports For


A Selected Listing Of Nasa Scientific And Technical Reports For
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Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
language : en
Publisher:
Release Date : 1966

A Selected Listing Of Nasa Scientific And Technical Reports For written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1966 with Aeronautics categories.




A Selected Listing Of Nasa Scientific And Technical Reports For 1966


A Selected Listing Of Nasa Scientific And Technical Reports For 1966
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Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
language : en
Publisher:
Release Date : 1967

A Selected Listing Of Nasa Scientific And Technical Reports For 1966 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with Aeronautics categories.