Nonlinear vibration analysis of FG-CNTRC sandwich Timoshenko beam based on modified couple stress theory subjected to longitudinal magnetic field using generalized differential quadrature method

摘要: In this paper, the magneto-mechanical nonlinear vibration behavior of rectangular functionally graded carbon nanotube reinforced composite (FG-CNTRC) sandwich Timoshenko beam based on modified couple stress theory (MCST) is investigated by generalized differential quadrature method. The FG-CNTRC consists two face sheets and homogenous core subjected to longitudinal magnetic field. sheets, nanotubes are disseminated in different patterns as uniform distribution, FG-X, FG-V, FG-O. Based von Karman geometric nonlinearity, governing equations derived Hamilton’s principle. Accuracy convergence study validated comparing numerical results with those found literature. Various parameters effects examined 1st frequency beam. reveal that composition CNTRC can be achieved remarkable stiffness comp...