Abstract
We study a problem of oscillations of an isotropic inhomogeneous hollow prestressed cylinder under the action of an axisymmetric periodic load. We analyze the amplitude-frequency characteristic depending on prestressed state types in order to identify the frequency ranges most sensitive to the prestress. On the basis of the perturbation method, we derive formulas allowing to find approximately changes in the resonant frequencies caused by the presence of a given inhomogeneous prestress field. We analyze the effect of prestress levels on the change in the cylinder’s natural frequencies.
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