Free vibrations of iso- and orthotropic plates considering plate variable thickness and interaction with water

• Autorzy: Lenartowicz Agnieszka , Guminiak Michał
• Języki publikacji: EN

Abstrakty

EN

The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness are considered in the paper. Isotropic and orthotropic rectangular plates with different boundary conditions are analysed. The Finite Element Method and the Finite Difference Method are used to describe structural deformation. The elements of stiffness matrix are derived numerically using author’s approaches of localization of integration points. The plate inertia forces are expressed by diagonal, lumped mass matrix or consistent mass matrix. The presence of the external medium, which can be a fluid, is described by the fluid velocity potential of double layer and the fundamental solution of Laplace equation which leads to the fully-populated mass matrix. The influence of external additional liquid mass on natural frequencies of plate is analysed, too.

Słowa kluczowe

EN

thin plates; vibrations; Finite Element Method; finite difference method; adjoined mass

PL

cienkie płyty; drgania; metoda elementów skończonych; metoda różnic skończonych; masa dołączona

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2020
• Tom: Vol. 31, nr 2
• Strony: art. no. 2020216
• Opis fizyczny: Bibliogr. 12 poz., rys., wykr.

Twórcy

autor

Lenartowicz Agnieszka

• Doctoral School of Poznan University of Technology, Piotrowo 3 Street, 60-965 Poznan

autor

Guminiak Michał

• Institute of Structural Analysis of Poznan University of Technology, Piotrowo 5 Street, 60-965 Poznan

Bibliografia

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• 8. M. Guminiak, The Boundary Element Method in plate analysis, Poznan University of Technology Publishing House, Poznań 2016, ISBN 978-83-7775-407-8 (in Polish).
• 9. M. Kuczma, Foundations of structural mechanics with shape memory. Numerical modeling, University of Zielona Góra Publishing House, Zielona Góra, 2010, ISBN 978--83-7481-411-9 (in Polish).
• 10. J. Pietrzak, G. Rakowski, K. Wrześniowski, Macierzowa analiza konstrukcji, PWN Publishing House, Warszawa-Poznań, 1979 (in Polish).
• 11. C-C. Liang, C-C. Liao, Y-S. Tai, W-H. Lai, The free vibration analysis of submerged cantilever plates, Ocean Engng. 28 (2001) 1225 - 1245.
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Uwagi

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