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Registration Number

0221U104282, 0117U000701 , R & D reports

Title

Nonlinear mechanics of the deformation and fracture processes of elastic and nonelastic materials and structural elements taking into account the coupling of the mechanical and physical fields of different nature

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Head

Karnaukhov Vasil G., Доктор фізико-математичних наук

Registration Date

12-03-2021

Organization

S.P.Timoshenko Institute of Mechanics

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 Mathematical models and numerical-analytical methods for the study of parametric vibrations of thin-walled piezoelectric layered viscoelastic shells of revolution under the action of longitudinal harmonic electromechanical loading have been developed. Mathematical models are constructed using mechanical hypotheses about layer-by-layer approximation of shear deformations by quadratic functions on the thickness of the layered shell and separately for hypotheses such as SP Tymoshenko, which in turn are supplemented by adequate hypotheses about electric field quantities. A numerical-analytical technique is proposed, which is based on the variational formulation of problems, the finite element method and the method of harmonic linearization, which allows to determine the areas of dynamic instability. For the case of hinged end fastening, analytical solutions of problems on parametric oscillations of a cylindrical piezoelectric panel and a rectangular piezoelectric plate taking into account energy dissipation are obtained; these solutions have independent significance and are a reference for assessing the effectiveness and reliability of the results obtained using numerical methods. For a thermally viscoelastic piezoelectric rectangular plate, a critical potential difference is calculated, at the achievement of which parametric oscillations are not excited and a specific type of thermal destruction of the plate occurs when it retains its integrity but loses its functional purpose.

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Babeshko Maiia O.
Bogdanova Olga S.
Vynohradova Larysa B.
Galishin Oleksandr Z.
Hlemeida Serhii K.
Golub Vladyslav P.
Danylchenko Svitlana B.
Dmytriieva Yevgeniia O.
Zhuk Yaroslav О.
Zinchuk Liubov P.
Kipnis Oleksandr L.
Kaminska Olena A.
Kaminskyi Anatolii O.
Karnaukhov Vasyl G.
Kasperska Valentyna V.
Kyrychok Ivan F.
Kobzar Yurii M.
Kozlov Volodymyr I.
Kompantseva Tetiana M.
Kurchakov Yevhen Ye.
Masalova Svitlana M.
Maslov Borys P.
Nechyporenko Olena S.
Pavliuk Yaroslav V.
Pelykh Volodymyr M.
Petrenko Nataliia V.
Plashchynska Alla V.
Pohrebniak Anatolii D.
Reznik Vira S.
Romanov Oleksandr V.
Savchenko Vitalii G.
Selivanov Mykhailo F.
Senchenkov Ihor K.
Tormakhov Mykola M.
Fernati Pavlo V.
Chervinko Olha P.
Chornoivan Yurii O.
Shevchenko Oleksandr Yu.

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2021-03-17