Determination of Prestress in Circular Inhomogeneous Solid and Annular Plates in the Framework of the Timoshenko Hypotheses

Determination of prestress fields in structures is the utmost importance, since they have a significant impact on operational characteristics, and their level distribution must be strictly controlled. In this paper, we present modeling bending vibrations solid annular round inhomogeneous prestressed plates within framework Timoshenko hypotheses. New inverse problems identification are studied basis acoustic response subjected to some probing load. To solve direct calculating oscillations amplitude-frequency computational Galerkin-method-based scheme has been developed. order treat problems, use special projection approach based constructed weak statements, which makes it possible determine desired characteristics given classes functions. The developed techniques for solving implemented form software packages realized via Maple. For both plates, estimate sensitivity values used as additional data change level; conclude that most favorable frequency range should selected resonance vicinity. We conducted series tests reconstructing plate’s prestresses various levels patterns (decreasing, increasing, sign-changing laws). results revealed technique allows determination with low error two cases: when cause formation its type known arbitrary changing laws considered.