Investigation of Nonlinear Torsional Oscillations on Functionally Graded Nanorod

In research concerns with free torsional vibration analysis of the size dependent circular nanorods with von kármán type nonlinearity, which can computed through radius power-law variation of two-constituent functionally graded materials (FGM), is inspected in this work using the theory of nonlocal elasticity. The approximate solution for the nonlocal nonlinear natural frequencies are extracted using multiple scales method (MSM). The different vibrations amplitude on index of FGM nanorod are evaluated.

Keywords:

Nonlinear , FGM-nanorod , Oscillations , Torsional