Vibration study of a pressurized torus shell. Part II - Development and applications of analysis
Analytical data on free vibrations of pressurized prestressed toroidal shell applied to simple toroidal shell structure models
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Analytical data on free vibrations of pressurized prestressed toroidal shell applied to simple toroidal shell structure models
The present paper deals with the buckling of a circular cylindrical shell under axial compression from the viewpoint of energy and the characteristics of deformation. It is shown first, both theoretically and experimentally, that the reason why the buckling of a cylindrical shell is quite different from that of a flat plate is attributable to the existence of a nearly developable surface far apart from the original cylindrical surface. Based upon this result, the experimental fact that the buckling is really not general but local, that is, that the buckled region is limited axially to a range of 1.5 times the wave length of the lobe, is explained by the theoretical result that the minimum buckling load is smaller in the local buckling than in the general buckling case. The occurrence of local buckling is affirmed also from the viewpoint of the energy barrier to be jumped over during buckling, and from a comparison of the theoretical post-buckling state with the experimental results. Finally, the local buckling with the load applied by a spring is analyzed, and it is proved that the minimum buckling load increased with an increase of rigidity of the spring.
MSFC has a long history of developing full-shell grazing-incidence x-ray optics for both narrow (pointed) and wide field (surveying) applications. The concept presented in this paper shows the potential to use active optics to switch between narrow and wide-field geometries, while maintaining large effective area and high angular resolution. In addition, active optics has the potential to reduce errors due to mounting and manufacturing lightweight optics. The design presented corrects low spatial frequency error and has significantly fewer actuators than other concepts presented thus far in the field of active x-ray optics. Using a finite element model, influence functions are calculated using active components on a full-shell grazing-incidence optic. Next, the ability of the active optic to effect a change of optical prescription and to correct for errors due to manufacturing and mounting is modeled.
Nonlinear flexural vibrations of thin walled circular cylinders, and buckling of shallow, conical and spherical shells subjected to uniform, impulsive pressures
A survey of the state-of-the-art for the stability of thin-walled conical shells is presented. Known theoretical results are summarized and compared with experiment. The shortcomings of present knowledge and recommended work for the future are discussed.
Cylindrical shell stability under axisymmetric moving loads
Displacement formulations of first order linear thin elastic shell equations in terms of stress resultant and middle surface, using modified Kirchhoff hypothesis
The shape of a shell of revolution designed t o have only tensile stresses under axisymmetric aerodynamic loadings has been derived on the basis of linear membrane theory. values of circumferential tension is also given. The results of this paper indicate that the design of an entry vehicle based on the tension shell concept leads to desirable aerodynamic and structural characteristics, namely, high drag and low weight.
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.
Computer program performs stability analyses for a wide class of shells without unduly restrictive approximations. The program uses numerical integration, finite difference of finite element techniques to solve with reasonable accuracy almost any buckling problem for shells exhibiting orthotropic behavior.
Membrane shell theory and digital computer program for determining impedance characteristics of thin conical shells under axial excitations
Numerical solution of combined hydrodynamic and shell equations for hydroelastic response of flexible shells
Linear shell theory elastic constant instability conditions for symmetrically loaded shells of revolution
Axisymmetric dynamic response of complete cylindrical shell to shock loads using bending theory of thin shells
Asymmetrically loaded shells of revolution nonlinear deflections analyzed by algorithm, determining snap buckling load of shallow spherical shell
Doubly curved shallow thin shells buckling under edge loading, discussing curvatures role and shell equation
Four pole parameters of truncated thin conical shell under axial excitations obtained by applying membrane shell theory
Unreinforced circular cutouts effects on buckling behavior of circular cylindrical shells under axial compression, using photoelastic plastic shells