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Set of linearized equations is developed, based on theory of finite elasticity consistent with assumptions of classical shell theory; they are used to predict effect of radial loading on frequencies of complete, thin, spherical shell; inducing initial compressive stress in shell by radial preload decreases lowest transverse frequency by amount dependent on magnitude of initial stress and classical buckling load; higher transverse frequency predicted by classical shell theory as well as frequencies of pure radial and torsional modes are virtually independent of radial preload.
Set of linearized equations is developed, based on theory of finite elasticity consistent with assumptions of classical shell theory; they are used to predict effect of radial loading on frequencies of complete, thin, spherical shell; inducing initial compressive stress in shell by radial preload decreases lowest transverse frequency by amount dependent on magnitude of initial stress and classical buckling load; higher transverse frequency predicted by classical shell theory as well as frequencies of pure radial and torsional modes are virtually independent of radial preload.
Vibration of radially loaded spherical shell
ASCE -- Proc (J Eng Mechanics Div)
Long, C.F. (author)
1966
16 pages
Article (Journal)
English
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