Nonlinear Vibrational Analysis of Functionally-Graded Porous Nanobeam Considering Thermal Effects

In this study, the first attempt is made in order to investigate the nonlinear behavior of porous functionally graded nanobeam by considering the effects of the thermal environment. The motion equations are derived using Hamilton principle in the framework of Euler-Bernoulli beam theory using von-Karman nonlinearity assumptions. It is supposed that the material properties of the nanobeam vary according to the power-law in the direction along the thick-ness. Besides, the properties are considered to be temperature-dependent. The partial differ-ential equations are discretized using Galerkin-based method. Numerical results are presented to investigate the effect of various parameters such as nonlocal parameter, amplitude ratio, aspect ratio, power-law index, temperature change on the nonlinear frequency ratio of the po-rous FG nanobeam. It can be seen that the nonlinear frequency of porous FG nanobeam, is significantly influenced by these parameters.

کلیدواژه ها:

Nonlinear vibration ، Porosity ، Thermal effect ، Functionally-Graded (FG) Material.