Abstract
The size-dependent free vibration of nano/microbeams with piezo-layered actuators is analytically investigated. The size-dependent dynamic modelling of the piezo-layered beam is presented on the basis of the non-local continuum theory. Equations of the motion and boundary conditions of the beam are obtained by implementation of Hamilton's principle. Analytical solutions for natural frequencies and mode shapes are obtained as a function of the piezo-layered beam characteristic size and non-local size scale parameter. The size effects on the vibration behaviour of the beam are studied and it is found that the non-local parameter, length ratio and thickness ratio have significant effects on the free vibration of systems.
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