Abstract
Vibrations of preloaded smooth and ribbed spherical bands are studied. A solution of linearized movement equations in displacements is presented in the form of single trigonometric series for a circumferential coordinate. Critical loads and natural vibration frequencies are determined with a linear and geometrically linear stress-strained state of static equilibrium. The effect of a longitudinal compressive load on the magnitude of minimum natural frequencies for oscillations of smooth and ribbed spherical bands is considered as a specific example.
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