Abstract
This paper presents a finite element method (FEM) free and forced lateral vibration analysis of beams made of functionally graded materials (FGMs). The temperature dependency of material properties along with damping had not previously been taken into account in vibration analysis. In the present study, the material properties were assumed to be temperature-dependent, and were graded in the thickness direction according to a simple power law distribution of the volume fractions of the constituents. The natural frequencies were obtained for functionally graded (FG) beams with various boundary conditions. First, an FG beam was assumed to be isotropic (metal rich) and the results were compared with the analytical solution and the results for ANSYS and NASTRAN software. Finally, dynamic responses were obtained for damped and un-damped systems. Numerical results were obtained to show the influences of the temperature dependency of the materials properties, the boundary conditions, the volume fraction distribution (the index of power law, N) and the geometrical parameters.
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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin
Mohammad Azadi received his B.S. in Mechanical Engineering from Shiraz University, Iran, in 2006. He then earned his M.S. from K.N. Toosi University of Technology in 2008. He is currently a Ph.D candidate at Sharif University of Technology. His research interests include NVH (Noise, Vibration and Harshness), Composites (especially FGMs), FEM (Finite Element Method), automotive engineering (especially engines and vehicle structures), TBC (Thermal Barrier Coating) and fatigue including HCF (High Cycle Fatigue), LCF (Low Cycle Fatigue) and TMF (Thermo-Mechanical Fatigue).
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Azadi, M. Free and forced vibration analysis of FG beam considering temperature dependency of material properties. J Mech Sci Technol 25, 69–80 (2011). https://doi.org/10.1007/s12206-010-1015-y
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DOI: https://doi.org/10.1007/s12206-010-1015-y