Journal ID : AMA-05-08-2021-10524
[This article belongs to Volume - 52, Issue - 01]
Total View : 445

Title : Investigation of nonlinear vibration behaviors of FG micro-beams subjected to axial compressive force and resting on elastic foundation

Abstract :

This study presents analysis of nonlinear vibration of functionally graded (FG) micro-beams subjected to axial compressive load and resting on elastic foundation in framework of the Euler-Bernoulli beam theory (EBT) and nonlocal strain gradient theory (NSGT). The FG micro-beam composed of two materials including metal and ceramic is considered in which, the material properties change according to a simple power law of the coordinate in the thickness direction. The expressions of nonlinear frequencies of the FG micro-beams with simply-supported (S-S) and clapmed-clamped (C-C) boundary conditions are obtained in the analytical forms. The accuracy of the obtained results for the FG micro- beams is verified by comparing the obtained solutions with the published ones. Influences of some important parameters on the nonlinear vibration responses of the FG micro-beams are examined and discussed.

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