Free flexural vibrations of an expanded-tapered sandwich beam

• Autorzy: Magnucki Krzysztof , Kustosz Joanna , Goliwąs Damian

Identyfikatory

DOI

10.21008/j.0860-6897.2023.1.14

• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to the analytical modelling of a simply supported expanded-tapered sandwich beam. The simplified analytical model of this beam with omitting the shear effect is elaborated. Based on Hamilton’s principle, the differential equation of motion of this beam is obtained. This equation is analytically solved with consideration of the deflection line of this beam subjected to its own weight. The fundamental natural frequencies for exemplary beams are derived. Moreover, the FEM model of the beam in the ABAQUS is developed. The calculation results of the fundamental natural frequency of exemplary beams of these two methods are presented in tables and figures.

Słowa kluczowe

EN

analytical modelling; expanded-tapered sandwich beam; fundamental natural frequency

PL

modelowanie analityczne; belka sandwiczowa; częstotliwość drgań własnych

• Wydawca: Poznan University of Technology. Institute of Applied Mechanics
• Czasopismo: Vibrations in Physical Systems
• Rocznik: 2023
• Tom: Vol. 34, nr 1
• Strony: art. no. 2023114
• Opis fizyczny: Bibliogr. 8 poz., il. kolor., rys., 1 wykr.

Twórcy

autor

Magnucki Krzysztof

• Łukasiewicz Research Network - Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań

• https://orcid.org/0000-0003-2251-4697

autor

Kustosz Joanna

• Łukasiewicz Research Network - Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań

• https://orcid.org/0000-0002-9408-2099

autor

Goliwąs Damian

• Łukasiewicz Research Network - Poznan Institute of Technology, Rail Vehicles Center, ul. Warszawska 181, 61-055 Poznań

• https://orcid.org/0000-0003-3280-0400

Bibliografia

• 1. M.A. De Rosa, M. Lippiello; Natural vibration frequencies of tapered beams; Eng. Trans., 2009, 57(1), 45-66
• 2. M. Bayat, I. Paker, M. Bayat; Analytical study on the vibration frequencies of tapered beams; Latin Am. J. Sol. Struct., 2011, 8(2); DOI: 10.1590/S1679-782520/1000200003
• 3. A.S. Sayyad, Y.M. Ghugal; Bending, buckling and free vibration of laminated composite and sandwich beams: a critical review of literature; Compos. Struct., 2017, 171, 486-504; DOI: 10.1016/j.compstruct.2017.03.053
• 4. R. Meksi, S. Benyoucef, A. Mahmoudi, A. Tounsi, E.A.A. Bedia, S.R. Mahmoud; An analytical solution for bending, buckling and vibration responses of FGM sandwich plates; J. Sand. Struct. Mat., 2019, 21(2), 727-757; DOI: 10.1177/1099636217698443
• 5. K. Magnucki, J. Lewinski, M. Far, P. Michalak; Three-point bending of an expanded-tapered sandwich beam - Analytical and numerical FEM study; Mech. Res. Comm., 2020, 103, 103471; DOI: 10.1016/j.mechrescom.2019.103471
• 6. K. Magnucki, E. Magnucka-Blandzi, S. Milecki, D. Goliwąs, L. Wittenbeck; Free flexural vibrations of homogeneous beams of symmetrically variable depth; Acta Mech., 2021, 232, 4309-4324; DOI: 10.1007/s00707-021-03053-x
• 7. K. Magnucki, E. Magnucka-Blandzi, L. Wittenbeck; Three models of a sandwich beam: Bending, buckling and free vibration; Eng. Trans. 2022, 70(2), 97-122; DOI: 10.24423/EngTrans.1416.20220331
• 8. S.G. Kelly; Mechanical Vibrations - Theory and Applications, Global Engineering, USA, 2012

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).