Abdelkader SAFALazreg HADJIMohamed BOURAADA2024-06-132024-06-132019-02-24Abdelkader SAFA. Lazreg HADJ.IMohamed .BOURAAD.AMechanical response of functionally graded beams with porosities .International Symposium on Technology & Sustainable Industry Development, ISTSID’2019. Faculty Of Technology. University Of Eloued. [Visited in ../../….]. Available from [copy the link here].https://dspace.univ-eloued.dz/handle/123456789/33472InterventionThis work presents a free vibration analysis of functionally graded metal–ceramic (FG) beams with considering porosities that may possibly occur inside the functionally graded materials (FGMs) during their fabrication. A new displacement field containing integrals is proposed which involves only three variables. Based on the suggested theory, the equations of motion are derived from Hamilton’s principle. This theory involves only three unknown functions and accounts for parabolic distribution of transverse shear stress. In addition, the transverse shear stresses are vanished at the top and bottom surfaces of the beam. The Navier solution technique is adopted to derive analytical solutions for simply supported beams. The accuracy and effectiveness of proposed model are verified by comparison with previous research. A detailed numerical study is carried out to examine the influence of the porosity on the free vibration responses of functionally graded beams.enFree vibrationFunctionally graded materialsIntegralHamilton’s principle.Intervention