Bending of beams with symmetrically varying mechanical properties under generalized load – shear effect

• Autorzy: Magnucki Krzysztof , Lewinski Jerzy
• Języki publikacji: EN

Abstrakty

EN

The paper is devoted to simply supported beams with symmetrically varying mechanical properties in the depth direction. Generalized load of the beams includes the load types from uniformly distributed to point load (three-point bending). This load is analytically described with the use of a certain function including a dimensionless parameter. The value of the parameter is decisive for the load type. The individual nonlinear “polynomial” hypothesis is applied to deformation of a planar cross section. Based on the definitions of the bending moment and the shear transverse force the differential equation of equilibrium is obtained. The equation is analytically solved and the deflections are calculated for an exemplary beam family. The results of the study are specified in tables.

Słowa kluczowe

EN

FGM beam; bending; analytical modeling

• Wydawca: Instytut Podstawowych Problemów Techniki PAN
• Czasopismo: Engineering Transactions
• Rocznik: 2019
• Tom: Vol. 67, iss. 3
• Strony: 441--457
• Opis fizyczny: Bibliogr. 22 poz., rys., tab., wykr.

Twórcy

autor

Magnucki Krzysztof

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

autor

Lewinski Jerzy

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

Bibliografia

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• 2. Magnucki K., Stasiewicz P., Elastic buckling of a porous beam, Journal of Theoretical and Applied Mechanics, 42: 859–868, 2004.
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• 5. Dehrouyeh-Semnani A.M., Bahrami A., On size-dependent Timoshenko beam element based on modified couple stress theory, International Journal of Engineering Science, 107: 134–148, 2016.
• 6. Magnucki K., Malinowski M., Magnucka-Blandzi E., Lewiński J., Three-point bending of a short beam with symmetrically varying mechanical properties, Composite Structures, 179: 552–557, 2017.
• 7. Paczos P., Wichniarek R., Magnucki K., Three-point bending of the sandwich beam with special structures of the core, Composite Structures, 201: 676–682, 2018.
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• 12. Kahrobaiyan M.H., Rahaeifard M., Tajalli S.A., Ahmadian M.T., A strain gradient functionally graded Euler-Bernoulli beam formulation, International Journal of Engineering Science, 52: 65–76, 2012.
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• 19. 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.
• 20. Magnucki K., Witkowski D., Lewinski J., Bending and free vibrations of porous beams with symmetrically varying mechanical properties – Shear effect, Mechanics of Advanced Materials and Structures (published online: 16 May 2018).
• 21. Taati E., On buckling and post-buckling behavior of functionally graded micro-beams in thermal environment, International Journal of Engineering Science, 128: 63–78, 2018.
• 22. Szyniszewski S.T., 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.

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2020).