Large-amplitude dynamical behaviour of microcantilevers

摘要: This paper aims at analysing the nonlinear size-dependent dynamics of a microcantilever based on modified couple stress theory. Since one end is free to move, system undergoes large deformations; this necessitates application theory which capable taking into account curvature-related and inertial-related nonlinearities. The expressions for kinetic potential energies are developed basis energy terms balanced by work base excitation means Hamilton's principle, yielding continuous model motion. Based weighted-residual method, reduced then solved via an eigenvalue analysis (for linear analysis) continuation method analysis); stability performed Floquet It shown that each source nonlinearity, in presence length-scale parameter, has significant effect dynamics.