Oscillations of a non-uniform finite hollow cylinder under conditions of complex prestressed state

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作者：
Yurov, V.O. [1 ]
Nedin, R.D. [1 ]
Vatulyan, A.O. [1 ,2 ]
机构：
[1] Institute of Mathematics, Mechanics and Computer Sciences named after I.I. Vorovich, Southern Federal University, 8a Mil'chakova Str., Rostov-on-Don,344090, Russia
[2] Southern Mathematical Institute, Vladikavkaz Scientific Center of Russian Academy of Sciences, 22 Markusa Str., Vladikavkaz,362027, Russia
来源：
Engineering Structures | 2021年 / 221卷
关键词：
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. © 2020 Elsevier Ltd;
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