Abstract
The stability of the undeflected middle surface of a uniform Voigt-Kelvin cylindrical circular shell is studied. The shell is being subjected to a time-varying axial compression as well as a time-varying uniformly distributed radial loading. Using the direct Liapunov method sufficient criteria for the asymptotic stability and the almost sure asymptotic stability are obtained. Asymptotic stability regions as functions of a reduced retardation time, geometric and material parameters of shell and characteristics of loading are calculated. It was shown that the stability regions do not change qualitatively in going from a Gaussian force to a harmonic one. The change of membrane loading direction from the axial direction to the circumferential one on the stability regions is also discussed.
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