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Free vibrations of Kirchhoff plates considering plate variable thickness and interaction with water including water boundaries

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Języki publikacji
EN
Abstrakty
EN
The natural vibrations of thin (Kirchhoff-Love) plates with constant and variable thickness and interaction with water are considered in the paper. The influence of the water free surface on natural frequencies of the coupled water-plate system is analysed too. The Finite Element Method (FEM) and the Finite Difference Method (FDM) are used to describe structural deformation and the Boundary Element Method (BEM) is applied to describe the dynamic interaction of water on a plate surface. The plate inertia forces are expressed by diagonal or consistent mass matrix. The water inertia forces are described by fully-populated mass matrix which is obtained directly from the theory of double layer potential.
Rocznik
Strony
art. no. 2021208
Opis fizyczny
Bibliogr. 15 poz., rys., wykr.
Twórcy
  • Doctoral School of Poznan University of Technology, Piotrowo 3 street 60-965 Poznan,
  • Institute of Structural Analysis of Poznan University of Technology, Piotrowo 5 street 60-965 Poznan
  • Institute of Structural Analysis of Poznan University of Technology, Piotrowo 5 street 60-965 Poznan
Bibliografia
  • 1. W.P. Jones, J.A. Moore. Simplified aerodynamic theory of oscillating thin surfaces in subsonic flow, J. Am. Inst. Aeronaut. Assoc., 11(9):1305-1307, 1973.
  • 2. M. K. Kwak. Hydroelastic vibration of rectangular plate. ASME Journal of Applied Mechanics, 63(1):110-115, 1996.
  • 3. R. Sygulski. Drgania własne siatek cięgnowych z uwzględnieniem masy otaczającego powietrza (Natural vibrations of the string meshes, taking into account the mass of the surrounding air), Arch. Civil Engng. XXIX, 4, 1983.
  • 4. R. Sygulski. Vibration of Simply Supported Plates in Contact with Liquid by Using Membrane Curvilinear Elements. Vibrations in Physical Systems, 31(3):2020323, 2020.
  • 5. Y. Fu and W.G. Price. Interactions between a partially or totally immersed vibrating cantilever plate and the surrounding fluid, Journal of Sound and Vibration, 118(3):495-513, 1987.
  • 6. C-C. Liang, C-C. Liao, Y-S. Tai, W-H. Lai. The free vibration analysis of submerged cantilever plates, Ocean Engng., 28:1225-1245, 2001.
  • 7. J.S. Lee, S.W. Lee. Fluid-structure interaction analysis on a flexible plate normal to a free stream at low Reynolds number, J. Fluids Struct., 29:18-34, 2012.
  • 8. M.S. Nerantzaki, J.T. Katsikadelis. An Analog Equation Solution to dynamic analysis of plates with variable thickness, Engng. Analysis Bound. Elem., 17(2):145-152, 1996.
  • 9. J. Rakowski, M. Guminiak. Non-linear vibration of Timoshenko beams by Finite Element Method, Journal of Theoretical and Applied Mechanics, 53(3):731-743, 2015.
  • 10. M. Guminiak, R. Sygulski. Vibration of Plates Partially and Totally Immersed in Fluid by The Boundary Element Method, in AIP Conference Proceedings 2239, 020017-1 - 020017-10, 2020. DOI: 10.1063/5.0007819
  • 11. A. Lenartowicz, M. Guminiak. Free Vibrations of Iso- and Orthotropic Plates Considering Plate Variable Thickness and Interaction with Water, Vibrations in Physical Systems, 31(2):2020216, 2020.
  • 12. M. Kamiński. The Stochastic Perturbation Method for Computational Mechanics. Wiley, 2013.
  • 13. M. Kamiński. Application of the generalized perturbation-based stochastic boundary element method to the elastostatics. Engineering Analysis with Boundary Elements, 31(6):514-527, 2007.
  • 14. 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).
  • 15. J. Pietrzak, G. Rakowski, K. Wrześniowski. Matrix analysis of structures. PWN Publishing House, Warszawa-Poznań, 1979 (in Polish).
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-0c8e13d2-afb3-45fd-9ccb-0624dbee3df1
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