Bending of a seven layer beam with foam cores

• Autorzy: Magnucki K. , Milecki S. , Lewiński J. , Kędzia P.

Identyfikatory

DOI

10.24423 / EngTrans.882.20180726

• Języki publikacji: EN

Abstrakty

EN

The subject of the paper is a seven layer beam with foam cores. The structure of the beam is symmetrical. The beam is composed of the main core, two inner sheets, two second cores and two outer sheets. The main core and two face cores are metal and polyurethane foams, while the sheets are metal. The analytical model of the beam is developed. The displacement and strain fields are formulated with consideration of the Zig-Zag hypothesis of deformation of a flat cross-section of the beam. The governing differential equations for the seven layer beam are obtained based on the stationary total potential energy. The detailed studies are devoted to deflections and stresses of the beams under a uniformly distributed load. The influence of the foam type of cores on the deflections and stresses of the beam is analysed. Moreover, the numerical FEM-model of the beam is developed. The analytical solution is compared to numerical calculations – FEM studies (ABAQUS System and SolidWorks Simulation). The results of the analysis are presented in Tables and Figures.

Słowa kluczowe

EN

composite beam; shear effect; Zig-Zag hypothesis; deflections; stresses

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2018
• Tom: Vol. 66, iss. 3
• Strony: 249--262
• Opis fizyczny: Bibliogr. 27 poz., rys., tab.

Twórcy

autor

Magnucki K.

• Institute of Rail Vehicles TABOR Warszawska 181, 61-055 Poznań, Poland

autor

Milecki S.

• Institute of Rail Vehicles TABOR Warszawska 181, 61-055 Poznań, Poland

autor

Lewiński J.

• Institute of Rail Vehicles TABOR Warszawska 181, 61-055 Poznań, Poland

autor

Kędzia P.

• Faculty of Mechanical Engineering and Management Poznan University of Technology Piotrowo 3, 60-965 Poznań, Poland

Bibliografia

• 1. Allen H.G., Analysis and design of structural sandwich panels, Pergamon Press, Oxford, London, Edinburgh, New York, Toronto, Sydney, Paris, Braunschweig 1969.
• 2. Vinson J.R., Sandwich structures, ASME Applied Mechanics Reviews, 54(3): 201–214, 2001.
• 3. Carrera E., Historical review of Zig-Zag theories for multilayers plates and shells, ASME Applied Mechanics Reviews, 56(3): 287–308, 2003.
• 4. Magnucka-Blandzi E., Magnucki K., Effective design of a sandwich beam with a metal foam core, Thin-Walled Structures, 45(4): 432–438, 2007.
• 5. Chakrabarti A., Chalak H.D., Iqbal M.A., Sheikh A.H., A new FE model based on higher order zigzag theory for the analysis of laminated sandwich beam with soft core, Composite Structures, 93(2): 271–279, 2011.
• 6. Magnucka-Blandzi E., 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, 2011.
• 7. Magnucka-Blandzi E., Mathematical modelling of a rectangular sandwich plate with a metal foam core, Journal of Theoretical and Applied Mechanics, 49(2): 439–455, 2011.
• 8. Osei-Antwi M., de Castro J., Vassilopoulos A.P., Keller T., Modeling of axial and shear stresses in multilayer sandwich beams with stiff core layers, Composite Structures, 116: 453–460, 2014.
• 9. Zhang J., Qin Q., Xiang C., Wang T.J., Dynamic response of slender multilayer sandwich beams with metal foam cores subjected to low-velocity impact, Composite Structures, 153: 614–623, 2016.
• 10. Chen D., Kitipornchai S., Yang J., Nonlinear free vibration of shear deformable sandwich beam with a functionally graded porous core, Thin-Walled Structures, 107: 39–48, 2016.
• 11. Caliri Jr. M.F., Ferreira A.J.M., Tita V., A review on plate and shell theories for laminated and sandwich structures highlighting the Finite Element Method, Composite Structures, 156: 63–77, 2016.
• 12. Malinowski M., Belica T., Magnucki K., Buckling and post-buckling behaviour of an elastic seven-layer cylindrical shell – FEM study, Thin-Walled Structures, 94: 478–484, 2015.
• 13. Magnucki K., Magnucka-Blandzi E., Wittenbeck L., Elastic bending and buckling of a steel composite beam with corrugated main core and sandwich faces – Theoretical study, Applied Mathematical Modelling, 40(2): 1276–1286, 2016.
• 14. Paczos P., Wasilewicz P., Magnucka-Blandzi E., Experimental and numerical investigations of five-layered trapezoidal beams, Composite Structures, 145: 129–141, 2016.
• 15. Magnucka-Blandzi E., Walczak Z., Jasion P., Wittenbeck L., Modelling of multilayered band plates with trapezoidal corrugated cores: stability analysis, Archive of Applied Mechanics, 87(2): 219–229, 2017.
• 16. Magnucka-Blandzi E., Walczak Z., Jasion P., Wittenbeck L., Buckling and vibrations of metal sandwich beams with trapezoidal corrugated cores – the lengthwise corrugated main core, Thin-Walled Structures, 112: 78–82, 2017.
• 17. Magnucka-Blandzi E., Rodak M., Bending and buckling of a metal seven-layer beam with lengthwise corrugated main core – comparative analysis with sandwich beam, Journal of Theoretical and Applied Mechanics, 55(1): 41–53, 2017.
• 18. Smyczyński M., Magnucka-Blandzi E., Stability and free vibrations of the three layer beam with two binding layers, Thin-Walled Structures, 113: 144–150, 2017.
• 19. Magnucka-Blandzi E., Walczak Z., Wittenbeck L., Jasion P., Rodak M., Szyc W., Lewiński J., Stability and vibrations of a metal seven-layer rectangular plate with trapezoidal corrugated cores, Thin-Walled Structures, 114: 154–163, 2017;.
• 20. Magnucka-Blandzi E., Walczak Z., Wittenbeck L., Rodak M., Strength of a metal seven-layer rectangular plate with trapezoidal corrugated cores, Journal of Theoretical and Applied Mechanics, 55(2): 433–446, 2017.
• 21. Sayyad A.S., Ghugal Y.M., Bending, buckling and free vibration of laminated composite and sandwich beams: A critical review of literature, Composite Structures, 171: 486–504, 2017.
• 22. Magnucka-Blandzi E., Bending and buckling of a metal seven-layer beam with crosswise corrugated main core – comparative analysis with sandwich beam, Composite Structures, 183: 35–41, 2018.
• 23. Smyczynski M.J., Magnucka-Blandzi E., Three-point bending of a sandwich beam with two binding layers – Comparison of two nonlinear hypotheses, Composite Structures, 183: 96–102, 2018.
• 24. Abrate S., Di Scoiva M., Equivalent single layer theories for composite and sandwich structures: A review. Composite Structures, 179: 482–494, 2017.
• 25. Smith B.H., Szyniszewski S., Hajjar J.F., Schafer B.W., Arwade S.R., Steel foam for structures: A review of applications, manufacturing and material properties, Journal of Constructional Steel Research, 71: 1–10, 2012.
• 26. Szyniszewski S., Smith B.H., Hajjar J.F., Schafer B.W., Arwade S.R., The mechanical properties and modelling of a sintered hollow sphere steel foam, Materials & Design, 54: 1083–1094, 2014.
• 27. Klasztorny M., Malachowski J., Dziewulski P., Nycz D., Gotowicki P., Experimental investigations and modelling of alporas aluminium foam [in Polish], Modelling in Engineering, 12(43): 97–112, 2012.

Uwagi

Opracowanie rekordu w ramach umowy 509/P-DUN/2018 ze środków MNiSW przeznaczonych na działalność upowszechniającą naukę (2019).