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Tytuł artykułu

Bending, buckling and free vibration of a beam with unsymmetrically varying mechanical properties

Treść / Zawartość
Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The subject of the paper is a beam with unsymmetrically varying mechanical properties in the depth direction. The nonlinear hypothesis of plane cross section deformation is assumed. Based on Hamilton’s principle, two differential equations of motion are obtained. The system of equations is analytically solved with a view to analyse the bending, buckling and free vibration problems of the beam. Moreover, the FEM model of the beam is developed and deflections, critical axial forces and natural frequencies of the beam are calculated. The results of these two methods are compared.
Rocznik
Strony
1163--1178
Opis fizyczny
Bibliogr. 22 poz., rys., tab.
Twórcy
autor
  • Institute of Rail Vehicles TABOR, Poznań, Poland
autor
  • Institute of Rail Vehicles TABOR, Poznań, Poland
  • Poznan University of Technology, Institute of Mathematics, Poznań, Poland
autor
  • Poznan University of Technology, Institute of Applied Mechanics, Poznań, Poland
Bibliografia
  • 1. Birman V., Byrd L.W., 2007, Modeling and analysis of functionally graded materials and structures, Applied Mechanics Reviews, 60, 195-216
  • 2. Chen D., Kitipornchai S., Yang J., 2016a, Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core, Thin-Walled Structures, 107, 39-48
  • 3. Chen D., Yang J., Kitipornchai S., 2015, Elastic buckling, and static bending of shear deformable functionally graded porous beam, Composite Structures, 133, 54-61
  • 4. Chen D., Yang J., Kitipornchai S., 2016b, Free and force vibrations of shear deformable functionally graded porous beams, International Journal of Mechanical Sciences, 108-109, 14-22
  • 5. Debowski D., Magnucki K., Malinowski M., 2010, Dynamic stability of a metal foam rectangular plate, Steel and Composite Structures, 10, 2, 151-168
  • 6. Feyzi M.R., Khorshidvand A.D., 2017, Axisymmetric post-buckling behaviour of saturated porous circular plates, Thin-Walled Structures, 112, 149-158
  • 7. Jun L., Xiang H., Xiaobin L., 2016, Free vibration analyses of axially loaded laminated composite beams using a unified higher-order shear deformation theory and dynamic stiffness method, Composite Structures, 158, 308-322
  • 8. Kapuria S., Bhattacharyya M., Kumar A.N., 2008, Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation, Composite Structures, 82, 390-402
  • 9. Kolakowski Z., Mania R.J., 2015, Dynamic response of thin FG plates with a static unsymmetrical stable postbuckling path, Thin-Walled Structures, 86, 10-17
  • 10. Kubiak T., 2005, Dynamic buckling of thin-walled composite plates with varying width-wise material properties, International Journal of Solids and Structures, 45, 5555-5567
  • 11. Kubiak T., 2011, Estimation of dynamic buckling for composite columns with open cross-sections, Computers and Structures, 89, 21-22, 2001-2009
  • 12. Li L., Hu Y., Nonlinear bending and free vibration analyses of nonlocal strain gradient beams made of functionally graded material, International Journal of Mechanical Sciences, 107, 77-97
  • 13. Magnucka-Blandzi E., 2011, Dynamic stability and static stress state of a sandwich beam with a metal foam core using three modified Timoshenko hypothesis, Mechanics of Advanced Materials and Structures, 18, 2, 147-158
  • 14. Mahi A., Bedia E.A.A., Tounsi A., 2015, A new hyperbolic deformation theory for bending and free vibration analysis of isotropic, functionally graded, sandwich and laminated composite plates, Applied Mathematical Modelling, 39, 2489-2508
  • 15. Mojahedin A., Jabbari M., Khorshidvand A., Eslami M., 2016, Buckling analysis of functionally graded circular plates made of saturated porous material based on higher order shear deformation theory, Thin-Walled Structures, 99, 83-90
  • 16. Sayyad A.S., Ghugal Y.M., 2017, Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature, Composite Structures, 171, 486-504
  • 17. Song M., Kitipornchai S., Yang J., 2017, Free and force vibrations of functionally graded polymer composite plates reinforced with graphene nanoplatelets, Composite Structures, 159, 579-588
  • 18. Smyczynski M.J., Magnucka-Blandzi E., 2018, Three-point bending of a sandwich beam with two binding layers – Comparison of two nonlinear hypotheses, Composite Structures, 183, 96-102
  • 19. Thai H.-T., Vo T.P., 2012, Bending and free vibration of functionally graded beams using various higher-order shear deformation beam theories, International Journal of Mechanical Sciences, 62, 57-66
  • 20. Thai H.-T., Vo T.P., 2013, A new sinusoidal shear deformation theory for bending, buckling, and vibration of functionally graded plates, Applied Mathematical Modelling, 37, 3269-3281
  • 21. Zenkour A.M., 2006, Generalized shear deformation theory for bending analysis of functionally graded plates, Applied Mathematical Modelling, 30, 67-84
  • 22. Zhang Y., Wang S., Loughlan J., 2006, Free vibration analysis of rectangular composite laminates using a layerwise cubic B-spline finite strip method, Thin-Walled Structures, 44, 601-622
Uwagi
PL
Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2018).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-3d699929-8332-424f-aced-9929009f82fc
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