Effect of finite strain on size-dependent nonlinear free vibration of laminated composite beam based on modified couple stress theory

چکیده مقاله

In this paper, the influence of finite strain on the size-dependent nonlinear free vibration analysis of the micro laminated composite Euler-Bernoulli beam including thermal environment effect on the basis of modified couple stress theory (MCST) is examined. Governing equation of motion and boundary conditions are obtained using Green-Lagrange strain tensor and employing Hamilton’s rule. Generalized differential quadrature method (GDQM) is engaged to solve this equation. Natural frequencies of carbon/epoxy and glass/epoxy micro laminated beams for different boundary conditions based on the finite strain and von Karman assumptions are calculated. The results demonstrate that the natural frequencies extracted by the finite strain assumption are more than the von Karman hypothesis. Moreover, the thermal loading has more influence on the glass/epoxy materials than the carbon/epoxy ones.