Nonaxisymmetric behavior of shallow shells loaded at the apex.
Nonaxisymmetric deflections measured on clamped shallow spherical shells loaded over small circular area concentric with apex
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Nonaxisymmetric deflections measured on clamped shallow spherical shells loaded over small circular area concentric with apex
Linear equation solutions for small symmetrical deformation of shallow spherical sandwich shells under local loading
Buckling and vibration of eccentrically stiffened shallow shells of double curvature
Deflections and stability of reinforced concrete shallow flexible shells allowing for creep of concrete
Small parameter method used for calculating periodic vibrations of flexible shallow shells and plates
Splitting state of stress in paraboloid or cylindrical shallow shell into membrane and bending stresses
Fourier transform and theory of generalized functions to obtain differential equilibrium equations to determine concentrated bending and tangential forces on shallow shells
If an asteroid is discovered to be on a collision course with Earth and there is insufficient time for a deflection effort to make it miss Earth completely, should it be redirected to a land or ocean impact? While distance from densely populated areas should obviously be maximized, the differing ability of air blast, seismic waves, and tsunami waves to cause damage at distance does not make the choice between land and ocean impacts an immediately obvious one. More broadly this work is a step towards improving damage models from asteroid impacts. This extended abstract follows the hypothetical scenario of the 2017 IAA Planetary Defense Conference where a 100-250m diameter asteroid is on a potential impact course with Earth. A hydrocode was used to simulate impacts into the most sparsely populated areas along the eastern end of the hypothetical impact corridor- specifically in the Gobi Desert, in the shallow waters of the Sea of Japan, and in the deep waters of the Japan Trench in the Pacific Ocean.
Shallow reference cavities for high temperature emission measurements
The problem of buckling of clamped shallow spherical shells has recently been considered in several theoretical investigations. Buck-ling loads under uniform external pressure were obtained in these investigations which show a surprisingly good agreement with each other, but show a marked disagreement with available experimental values. In all previous studies it has been assumed that the shell deformations are rotationally symmetric. In this paper, the buckling problem is re-examined by introducing asymmetric modes of deformation. The approach is to superimpose small asymmetric deflections on finite axisymmetric deflections, and to show that the symmetric states of deformation are unstable over certain ranges of load and geometry parameter. Numerical results are obtained by means of a digital computer and are compared with previous theoretical and experimental results.
In view of the wide discrepancy between theoretical and experimental results that still exists, the problem of buckling of shallow spherical shells under uniform external pressure is reexamined with the introduction of non-symmetrical deflection modes. The basic idea is that, for a symmetrical shell under gradually increasing symmetrical loading, the deformation will be symmetrical up to and after buckling, but it is feasible that a non-symmetrical mode participates in the snap-through process. Including this possibility in the governing equations may lower the theoretical buckling load. Some analytical results are presented and compared with experiment.
Nonlinear transverse axisymmetric vibrations of shallow spherical shells
Nonlinear shallow shell analysis by the matrix force method
Test of analytical expressions for thermal emission of shallow cylindrical cavities using spectrophotometer
Transonic tests of base pressures associated with shallow three-dimensional rearward-facing steps
Dynamic axisymmetric buckling of shallow conical shells subjected to impulsive loads
Dynamic axisymmetric buckling of shallow conical shells subjected to impulsive loads