Analytical and experimental investigation of pressurized toroidal shells final report.
Pressurized toroidal shells - asymptotic method
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Pressurized toroidal shells - asymptotic method
Toroidal shell stresses and displacements under internal pressure in transition range found by bending and membrane theories
Numerical analysis of flexural vibrations of prestressed toroidal shell
Initial post-buckling behavior of toroidal shell segments
Solution for symmetrical deformation problem of orthotropic toroidal shell
Theory of folding deformations in expandable structures, toroidal shells
The effect of internal pressure and external load on thin-walled toroidal shells was investigated. The result of the analysis agreed with experimental results on a 54-inch-diameter toroidal shell subjected to both pressurization and axial loading.
Nonlinear differential equations of equilibrium and buckling equations for segments of toroidal shells having Gaussian curvature
Stress-strain state of toroidal shell at bending, applicable to calculating bellows
Model of structural anisotropy for determining basic stresses in circumference and external fibers of symmetrically loaded ribbed toroidal shell
Equilibrium nonlinear differential and buckling equations for segments of toroidal shallow shells near equator and crown
Equilibrium nonlinear differential and buckling equations for segments of toroidal shallow shells near equator and crown
In the first part of the present work concerning the coupled elastic and acoustic response of a system of cylindrical and toroidal shells enclosing an acoustic medium, the theoretical model for the cylindrical and toroidal segments' elastodynamics incorporates an elastic simulation based on transfer matrices, while the acoustic simulation adapts Green's function and curved surface elements. The coupled response is determined by the equilibrium of the acoustic pressure and internal elastic reactions of the shell, and compatibility between acoustic and elastic accelerations at the shell-fluid interface. The second part of this work obtains and discusses numerical results based on the theory for the cases of shell configurations having a plane of symmetry, as well as asymmetric ones. The inadequacy of beam theory in modeling the response of short, thin shell configurations at frequencies above the fundamental elastic resonance is demonstrated.
Initial postbuckling behavior of double curvature shell segments under several loading conditions determined, using Koiter theory
The general problem of a shell containing a through crack in one of the principal planes of curvature and under general skew-symmetric loading is considered. By employing a Reissner type shell theory which takes into account the effect of transverse shear strains, all boundary conditions on the crack surfaces are satisfied separately. Consequently, unlike those obtained from the classical shell theory, the angular distributions of the stress components around the crack tips are shown to be identical to the distributions obtained from the plane and anti-plane elasticity solutions. Results are given for axially and circumferentially cracked cylindrical shells, spherical shells, and toroidal shells under uniform in-plane shearing, out of plane shearing, and torsion. The problem is formulated for specially orthostropic materials, therefore, the effect of orthotropy on the results is also studied.
A shell containing a through crack in one of the principal planes of curvature and under general skew-symmetric loading is considered. By employing a Reissner type shell theory which takes into account the effect of transverse shear strains, all boundary conditions on the crack surfaces are satisfied separately. Consequently, unlike those obtained from the classical shell theory, the angular distributions of the stress components around the crack tips are shown to be identical to the distributions obtained from the plane and antiplane elasticity solutions. Extensive results are given for axially and circumferentially cracked cylindrical shells, spherical shells, and toroidal shells under uniform inplane shearing, out of plane shearing, and torsion. The effect of orthotropy on the results is also studied.
Analytical data on free vibrations of pressurized prestressed toroidal shell applied to simple toroidal shell structure models
Free vibrations of freely supported toroidal shell, noting elastic motion equations in terms of toroidal coordinates and boundary conditions applicable to polar motion