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Tytuł artykułu

Vibrations of an orthotropic plate with point supports subjected to a moving force

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Języki publikacji
EN
Abstrakty
EN
We investigate the dynamic behavior of a rectangular orthotropic plate loaded with the concentrated force moving with constant speed along the structure. In this work, we consider two types of plates in terms of boundary conditions. In the first case, we assume that the plate is simply supported on all of its edges with a number of point supports arbitrarily located in its area, and in the second one, we look at a two-span bridge plate with arbitrarily oriented intermediate linear support. Solutions for both cases are obtained by replacing the original structure with a single-span plate subjected to a given moving load and redundant forces situated in positions of removed intermediate supports. Redundant forces are obtained by the application of Volterra integral equations for the simply supported plate, and finite difference discretization and the Newmark method for the bridge plate. Two numerical examples are given to prove the effectiveness of the presented approach.
Rocznik
Strony
307--328
Opis fizyczny
Bibliogr.13 poz., rys., wykr.
Twórcy
  • Wroclaw University of Environmental and Life Sciences The Faculty of Environmental Engineering and Geodesy Wroclaw, Poland
Bibliografia
  • 1. Farah I., Rezaiguia A., Mouassa A., Debra L., Guenfoud S., Free vibration analysis of multi-span orthotropic bridge deck with rubber bearings, Diagnostyka, 22(1): 11–21, 2021, doi: 10.29354/diag/132209.
  • 2. Fryba ´ L., Vibrations of Solids and Structures under Moving Load, Telford, London, 1999.
  • 3. Klasztorny M., Dynamic strength of orthotropic spans of highway bridges [in Polish: Dynamiczne wytężenie ortotropowych przęseł mostów drogowych], Archives of Civil Engineering, 24(4): 539–555, 1978.
  • 4. Langer J., Application of Legendre polynomials to the solution of the orthotropic bridge plate [in Polish: Zastosowanie wielomianów Legendre’a do rozwiązywania ortotropowej płyty mostowej], Archives of Civil Engineering, 22(1): 43–55, 1966.
  • 5. Langer J., Dynamics of structures [in Polish: Dynamika budowli], Wrocław University of Technology Publishing House, Wrocław, 1980.
  • 6. Law S.S., Bu J.Q., Zhu X.Q., Chan S.L., Moving load identification on a simply supported orthotropic plate, International Journal of Mechanical Sciences, 49(11): 1262– 1275, 2007, doi: 10.1016/j.ijmecsci.2007.03.005.
  • 7. Leissa A., Vibration of Plates, NASA Sp-160, Washington, 1969.
  • 8. Lenartowicz A., Guminiak M., Free vibrations of iso- and orthotropic plates considering plate variable thickness and interaction with water, Vibrations in Physical Systems, 31(2): 2020216, 2020, doi: 10.21008/j.0860-6897.2020.2.16.
  • 9. Mart´ınez-Rodrigo M.D., Moliner E., Romero A., De Roeck G., Galv´ın P., Maximum resonance and cancellation phenomena in orthotropic plates traversed by moving loads: Application to railway bridges, International Journal of Mechanical Sciences, 169: 105316, 2020, doi: 10.1016/j.ijmecsci.2019.105316.
  • 10. Papkov S.O., Vibrations of a rectangular orthotropic plate with free edges: analysis and solution of an infinite system, Acoustical Physics, 61(2): 136–143, 2015, doi: 10.1134/ S106377101501008X.
  • 11. Timoshenko S., Woinowsky-Krieger S., Theory of Plates and Shells, McGraw-Hill Book Company, New York, 1959.
  • 12. Zakęś F., Śniady P., Application of Volterra integral equations in dynamics of multispan uniform continuous beams subject to a moving load, Shock and Vibration, 2016: Article ID 4070627, 2016, doi: 10.1155/2016/4070627.
  • 13. Zhang Y., Zhang S., Free transverse vibration of rectangular orthotropic plates with two opposite edges rotationally restrained and remaining others free, Applied Sciences, 91(1), 22, 2019, doi: 10.3390/app9010022.
Uwagi
Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-ad99d280-c547-46c2-a1dd-6e6bd21cae10
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