Author: Bo Xu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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.
Vibration and Stability Analysis of Toroidal Shells
Author: Bo Xu
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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.
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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.
Vibration and Stability Analysis of Toroidal Shells
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages :
Book Description
Free Vibration and Stability of Complete Orthotropic Circular Toroidal Shells
Author: X. H. Wang
Publisher:
ISBN:
Category : University of Ottawa theses
Languages : en
Pages : 158
Book Description
Publisher:
ISBN:
Category : University of Ottawa theses
Languages : en
Pages : 158
Book Description
Flexural Vibrations of the Prestressed Toroidal Shell
Author: Artis A. Liepins
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 60
Book Description
Results of a numerical study of the natural frequencies and modes of vibration of the pressure prestressed toroidal shell are presented. The analysis is based upon a linearized theory of vibrations of prestressed shells. The frequencies and mode shapes are obtained by trial and error in the Holzer fashion. The effects of wall bending stiffness on the frequencies of shells under varying degrees of prestress are shown.
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 60
Book Description
Results of a numerical study of the natural frequencies and modes of vibration of the pressure prestressed toroidal shell are presented. The analysis is based upon a linearized theory of vibrations of prestressed shells. The frequencies and mode shapes are obtained by trial and error in the Holzer fashion. The effects of wall bending stiffness on the frequencies of shells under varying degrees of prestress are shown.
Vibration Study of a Pressurized Torus Shell. Part II - Development and Applications of Analysis
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 60
Book Description
Stability of Shells of Revolution: General Theory and Application to the Torus
Author: Wilhelm Flügge
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 276
Book Description
Contents: The elastic law; Equations of equilibrium; Shells of revolution under axially symmetric loads; Toroidal shell under external pressure-theoretical analysis; Toroidal shell under external pressure-numerical results; Free vibrations of prestressed shells of revolution.
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 276
Book Description
Contents: The elastic law; Equations of equilibrium; Shells of revolution under axially symmetric loads; Toroidal shell under external pressure-theoretical analysis; Toroidal shell under external pressure-numerical results; Free vibrations of prestressed shells of revolution.
Vibration Analysis of Toroidal Shells of Circular Cross Section
Author: Eldon Eugene Kordes
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 174
Book Description
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 174
Book Description
Vibration and Buckling of Prestressed Shells of Revolution
Author: Paul A. Cooper
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 44
Book Description
Publisher:
ISBN:
Category : Buckling (Mechanics)
Languages : en
Pages : 44
Book Description
Nonlinear Vibrations and Stability of Shells and Plates
Author: Marco Amabili
Publisher: Cambridge University Press
ISBN: 1139469029
Category : Science
Languages : en
Pages : 391
Book Description
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Publisher: Cambridge University Press
ISBN: 1139469029
Category : Science
Languages : en
Pages : 391
Book Description
This unique book explores both theoretical and experimental aspects of nonlinear vibrations and stability of shells and plates. It is ideal for researchers, professionals, students, and instructors. Expert researchers will find the most recent progresses in nonlinear vibrations and stability of shells and plates, including advanced problems of shells with fluid-structure interaction. Professionals will find many practical concepts, diagrams, and numerical results, useful for the design of shells and plates made of traditional and advanced materials. They will be able to understand complex phenomena such as dynamic instability, bifurcations, and chaos, without needing an extensive mathematical background. Graduate students will find (i) a complete text on nonlinear mechanics of shells and plates, collecting almost all the available theories in a simple form, (ii) an introduction to nonlinear dynamics, and (iii) the state of art on the nonlinear vibrations and stability of shells and plates, including fluid-structure interaction problems.
Vibration Study of a Pressurized Torus Shell
Author: Peter F. Jordan
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 60
Book Description
Publisher:
ISBN:
Category : Shells (Engineering)
Languages : en
Pages : 60
Book Description