Nonsymmetric modes of complete spherical shells.
Complete spherical shells nonsymmetric vibrations frequencies and mode shapes calculated by matrix method
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Complete spherical shells nonsymmetric vibrations frequencies and mode shapes calculated by matrix method
Spherical shell dynamic response on colliding with special elastic impact surface with stress wave analysis
Temperature distribution in spinning spherical shell in solar flux - uniformly valid perturbation expansion for thin shell
Thin spherical roller supported domes stability and axisymmetric deformation under apex point loads, investigating plastic buckling and inelastic strain effects
Axisymmetric thermal stresses in sandwich shells of revolution with application to shallow spherical shells
Creep buckling of spherical shells
Buckling of complete spherical shells to examine Tsien energy hypothesis
Equations for thin elastic spherical shells and digital program for analysis of stresses and deformation of fixed edge segmental spherical shells - solution by finite difference technique
Many problems in geophysical and astrophysical convection systems are characterized by fast rotation and spherical shell geometry. The combined effects of Coriolis forces and spherical shell geometry produce a unique spatial symmetry for the convection pattern in a rapidly rotating spherical shell. In this paper, we first discuss the general spatial symmetries for rotating spherical shell convection. A special model, a spherical shell heated from below, is then used to illustrate how and when the spatial symmetries are broken. Symmetry breaking occurs via a sequence of spatial transitions from the primary conducting state to the complex multiple-layered columnar structure. It is argued that, because of the dominant effects of rotation, the sequence of spatial transitions identified from this particular model is likely to be generally valid. Applications of the spatial symmetry breaking to planetary convection problems are also discussed.
Nonlinear spinning shallow spherical shell equations solved for equilibrium stress and displacement distributions, discussing inertia loading
Fluid filled elastic spherical shell, calculating free vibration axisymmetric response and fundamental mode
A spherical analogue of the rotating annulus experiments modeling atmospheric motion, in which a liquid is contained between two rigid, corotating and concentric hemispheres upon both of which thermal gradients are imposed, is presently studied by means of numerical models. Temperatures are lower on the inner than on the outer sphere, and decrease towards the pole. Using Navier-Stokes equations which assume symmetry about the polar axis, finite difference numerical models yield steady-state solutions to the equations. Hydrostatic and nonhydrostatic solutions are compared for cylindrical and spherical cases, and it is found in the case of the spherical shell that the differences between hydrostatic and nonhydrostatic solutions are small and largely confined to the regions near the pole and equator. It is suggested that nonhydrostatic effects on the axisymmetric state will not affect the flow's baroclinic stability.
The pulsating elastic spherical shell is investigated in detail. A possible equivalent circuit is shown to contain two capacitors, two inductors, a transmission line, and an ideal transformer.
Axisymmetrically imperfect spherical thin shell stability analysis, comparing results with theory of initial postbuckling behavior
Initial postbuckling behavior of spherical shell under external pressure determined using Koiter theory, analyzing effects of imperfections on buckling strength of structures
A thin-spherical shell loaded as a cantilever beam-stresses, deflections, and influence coefficients
Imperfection sensitivity of externally pressurized spherical shells
Hydrostatic buckling pressure calculations for spherical shells