Free axisymmetric flexural vibrations of circular plate with symmetrically varying mechanical properties supported on elastic foundation

• Autorzy: Magnucki Krzysztof
• Języki publikacji: EN

Abstrakty

EN

The subject of the paper is a circular plate with clamped edge supported on elastic foundation. Mechanical properties of the plate symmetrically vary in its thickness direction. Free axisymmetric flexural vibration problem of the plate with consideration of the shear effect is analytically studied. Two partial differential equations of motion based on the Hamilton principle are obtained. The system of equations is analytically solved and the fundamental natural frequency of axisymmetric vibration for example plates is derived.

Słowa kluczowe

EN

circular plate; elastic foundation; shear effect; axisymmetric flexural vibration

PL

płyta kołowa; podłoże sprężyste; efekt ścinania; osiowosymetryczne drgania giętne

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 2
• Strony: art. no. 2020217
• Opis fizyczny: Bibliogr. 13 poz., rys., 1 wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network - Institute of Rail Vehicles “TABOR”, ul. Warszawska 181, 61-055 Poznan

Bibliografia

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• 8. E.A. Ahmad, R. Khorshidvand, Free vibration analysis of saturated porous FG circular plates integrated with piezoelectric actuators via differential quadrature method, Thin-Walled Struct., 125 (2018) 220 - 233.
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• 10. K. Magnucki, D. Witkowski, E. Magnucka-Blandzi, Buckling and free vibrations of rectangular plates with symmetrically varying mechanical properties - Analytical and FEM studies, Comp. Struct, 220 (2019) 355-361.
• 11. K. Magnucki, W. Stawecki, J. Lewinski, Bending of a circular plate with symmetrically thickness-wise varying mechanical properties, Steel Comp. Struct., 34(6) (2020) 795-802.
• 12. K. Magnucki, J. Lewinski, E. Magnucka-Blandzi, An improved shear deformation theory for bending beams with symmetrically varying mechanical properties in the depth direction, Acta Mech., 231(10) (2020) 4381-4395.
• 13. E. Magnucka-Blandzi, K. Magnucki, W. Stawecki. Bending and buckling of a circular plate with symmetrically varying mechanical properties. Appl. Math. Model., 89(2) (2021) 1198-1205.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).