Nonlinear Vibrational Analysis of Functionally-Graded Porous Nanobeam Considering Thermal Effects
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1Assistant Professor, School of Automotive Engineering, Iran University of Science and Technology, Tehran, Iran
2School of Automotive Engineering, Iran University of Science and Technology
In this study, the first attempt is made in order to investigate the nonlinear behavior of po-rous functionally graded nanobeam by considering the effects of 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 thickness. Besides, the properties are considered to be temperature-dependent. The partial differential equations are discretized using Galerkin-based method. Numerical results are presented to investigate the effect of various parameters such as nonlocal parameter, ampli-tude ratio, aspect ratio, power-law index, temperature change on the nonlinear frequency ra-tio of the porous FG nanobeam. It can be seen that the nonlinear frequency of porous FG nanobeam, is significantly influenced by these parameters.
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