Author: Fan Zhang
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 232
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.
Surface Loading of a Thin-walled Toroidal Shell
Author: Fan Zhang
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 232
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.
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 232
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.
Applied Mechanics Reviews
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 772
Book Description
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 772
Book Description
Scientific and Technical Aerospace Reports
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1460
Book Description
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.
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1460
Book Description
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.
A Selected Listing of NASA Scientific and Technical Reports for ...
Author: United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2088
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2088
Book Description
A Selected Listing of NASA Scientific and Technical Reports for 1966
Author: United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2084
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2084
Book Description
NASA Scientific and Technical Reports
Author: United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2300
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 2300
Book Description
Buckling of Thin-walled Doubly Curved Shells - NASA Space Vehicle Design Criteria /structures/
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 44
Book Description
Research in Structural and Solid Mechanics--1982
Author:
Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 452
Book Description
Publisher:
ISBN:
Category : Mechanical engineering
Languages : en
Pages : 452
Book Description
International Aerospace Abstracts
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1218
Book Description
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1218
Book Description
Analysis of Toroidal Shells Using the Semi-analytical DQM.
Author: Wen Jiang
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
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.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
Book Description
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.