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Asymmetric Oscillations of AFG Microscale Nonuniform Deformable Timoshenko Beams
Ist Teil von
Vibration, 2019-06, Vol.2 (2), p.201-221
Erscheinungsjahr
2019
Link zum Volltext
Quelle
EZB Free E-Journals
Beschreibungen/Notizen
A nonlinear vibration analysis is conducted on the mechanical behavior of axially functionally graded (AFG) microscale Timoshenko nonuniform beams. Asymmetry is due to both the nonuniform material mixture and geometric nonuniformity. Using the Timoshenko beam theory, the continuous models for translation/rotation are developed via an energy balance. Size-dependence is incorporated via the modified couple stress theory and the rotation via the Timoshenko beam theory. Galerkin’s method of discretization is applied and numerical simulations are conducted for a size-dependent vibration of the AFG microscale beam. Effects of material gradient index and axial change in the cross-sectional area on the force and frequency diagrams are investigated.