Abstract
In this paper, nonlinear vibration of microbeams based on the nonlinear elastic foundation is investigated. The equation of motion of microbeams based on three-layered nonlinear elastic medium (shear, linear and nonlinear layers) is described by the partial differential equation by using the modified couple stress theory. The equation of motion of microbeams is transformed into the ordinary differential equation by using Galerkin method. The high-order Energy Balance method and the high-order Global Error Minimization method are used to get the frequency – amplitude relationships for the nonlinear vibration of microbeams with pinned-pinned and clamped-clamped end conditions. Comparisons between the present solutions and the privious solutions show the accuracy of the obtained results.
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