Parametric resonances of buckled magneto-electro-thermo-elastic laminated microbeams based on modified couple stress theory

This article investigates the nonlinear dynamic response of the magneto-electro-thermo-elastic (METE) laminated microbeams in post-buckling state considering the modified couple stress theory. Based on the nonlinear post-buckling dynamic model of the microbeam, considering the main parameter resonance, the model is solved and analyzed to obtain the nonlinear vibration amplitude frequency response relationship by applying the multi-scale method. Then, the Jacobi matrix is used for steady-state analysis of the microbeam. In numerical examples, the effects of material length scale parameter, magneto-electro-thermo field, axial static and dynamic loads, and span-thickness ratio on the dynamic instability region and amplitude frequency response curve of METE laminated microbeams are discussed.