Free Flexural Axisymmetric Vibrations of Generalized Circular Sandwich Plate
[ 1 ] Instytut Matematyki, Wydział Automatyki, Robotyki i Elektrotechniki, Politechnika Poznańska | [ P ] employee
2023
chapter in monograph / paper
english
- mathematical modelling
- generalized sandwich plate
- free flexural vibrations
EN The work is devoted to the mathematical modeling of a sandwich circular plate. Free flexural axisymmetric vibrations of generalized three-layer plate is studied. The mechanical properties of the plate’s core vary through its thickness. The mechanical properties of faces are constant. The individual nonlinear theory of deformation of the straight normal line to the middle plane of the plate is elaborated taking into account the shear effect. Two cases of the supported edge of the plate are considered: simply supported, and clamped. Based on the Hamilton's principle two differential equations of motion are obtained. This system of equations is approximately solved and the fundamental natural frequencies are obtained for two circular sandwich plates.
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